# Discount Questions and Answers updated daily – Aptitude

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## Discount Questions

1. If the marked price of the mobile is Rs.6000 more than the money Rajesh had but the shopkeeper offers two successive discounts 10% and 5% respectively. Now he left with him Rs.9370. What is the marked price of the mobile?

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Correct Ans:Rs.106000

Explanation:

Rajesh have = x

MP of the mobile = x + 6000

(x + 6000) * 90/100 * 95/100 + 9370 = x

0.855x + 5130 + 9370 = x

0.145x = 14500

145x = 14500000

x = 100000

MP of mobile = 100000 + 6000 = 106000

MP of the mobile = x + 6000

(x + 6000) * 90/100 * 95/100 + 9370 = x

0.855x + 5130 + 9370 = x

0.145x = 14500

145x = 14500000

x = 100000

MP of mobile = 100000 + 6000 = 106000

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2. A shopkeeper buys an article at a discount of 20% on the listed from a wholesaler. The shopkeeper marks up the price by 15% on the listed price. A buyer pays Rs. 3795 to get it after paying sales tax rate of 10% on the price asked for. Find the profit percentage of the shopkeeper.

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Correct Ans:43.75%

Explanation:

let the listed price = Rs. 100

C P of shopkeeper = 100 - 20 = Rs. 80

Marked price by shopkeeper = 100 + 15 = Rs. 115

Now, 115 = 3795 * (100/110) = Rs. 3450

80 = (3450/115) * 80 = Rs. 2400

Profit = 3450 - 2400 = 1050

Profit % = (1050/2400) * 100 = 43.75 %

C P of shopkeeper = 100 - 20 = Rs. 80

Marked price by shopkeeper = 100 + 15 = Rs. 115

Now, 115 = 3795 * (100/110) = Rs. 3450

80 = (3450/115) * 80 = Rs. 2400

Profit = 3450 - 2400 = 1050

Profit % = (1050/2400) * 100 = 43.75 %

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3. Applied to a bill for Rs. 50000. Find the difference between a discount of 25 % to that of two successive discounts of 20 % and 10 %?

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Correct Ans:Rs. 1500

Explanation:

50000*(75/100) = Rs. 37500

50000*(80/100)*(90/100) = Rs. 36000

Required difference

= 37500 â€“ 36000

= Rs. 1500

50000*(80/100)*(90/100) = Rs. 36000

Required difference

= 37500 â€“ 36000

= Rs. 1500

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4. A merchant agrees to give a discount of 20% on cost price of articles but gives away only 700gms for every 1400 gms weight of articles. Find his profit%?

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Correct Ans:60

Explanation:

Let the CP of 1gm be Re. 1.

So, if he sells 1400 gms articles,

then his CP = Rs.1400.

And he gives a discount of 20% on CP.

So, 80% of CP is nothing but SP = (80/100)*1400 = Rs. 1120.

He gives away only 700 gms, so his actual CP will only be Rs. 700.

= [(1120 - 700)/700]*100

= 60%.

So, if he sells 1400 gms articles,

then his CP = Rs.1400.

And he gives a discount of 20% on CP.

So, 80% of CP is nothing but SP = (80/100)*1400 = Rs. 1120.

He gives away only 700 gms, so his actual CP will only be Rs. 700.

**Profit% = [(SP - CP)/CP]*100**= [(1120 - 700)/700]*100

= 60%.

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5. If Ram sells each chair and table bought by him at discount of 25% and 20% respectively after marking up the prices of both by 50% and gives one 1 chair free for every 4 tables bought by a customer, then what is the net profit/loss % made by Ram after selling all of the items which he bought from the shopkeeper?

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Correct Ans:5%

Explanation:

Let the marked price of a chair be = Rs50

---> And the marked price of a table be = Rs70

---> Also no. of chairs bought be = 9x

---> And no. of tables bought be = 8x

---> C.P. of chair for Ram = ((4/5) *50) = 40

---> C.P. of table for Ram = ((3/4) * 70) = 52.5

---> Total C.P. for Ram = 9x * 40 + 8x * 52.5 = 780x

---> Total S.P. for Ram = 7x *40 *1.5*0.75 + 8x * 52.5 *1.5 * 0.8

---> = 315x + 504x = 819x

---> profit % = ((819 -780)/780) *100

---> = (39/780) *100 = 5%

---> And the marked price of a table be = Rs70

---> Also no. of chairs bought be = 9x

---> And no. of tables bought be = 8x

---> C.P. of chair for Ram = ((4/5) *50) = 40

---> C.P. of table for Ram = ((3/4) * 70) = 52.5

---> Total C.P. for Ram = 9x * 40 + 8x * 52.5 = 780x

---> Total S.P. for Ram = 7x *40 *1.5*0.75 + 8x * 52.5 *1.5 * 0.8

---> = 315x + 504x = 819x

---> profit % = ((819 -780)/780) *100

---> = (39/780) *100 = 5%

**Hence the answer is : 5 %**
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6. The marked price of a watch is Rs. 1000. A retailer buys it at Rs. 810 after getting two successive discounts of 10% and another rate which is illegible. What is the second discount rate?

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Correct Ans:10%

Explanation:

Given, Marked price of the watch = Rs. 1000

And Selling price of the watch = Rs. 810

Watch is sold after getting one discount of 10% and another discount of some rate which is not known.

Let the second discount rate be 'x'

Then, according to the question,

Marked price * 10% discount * x% discount = Rs. 810

---> 1000 * [1 - (10/100)] * [1 - (x/100)] = 810

---> 1000 * [9/10] * [1 - (x/100)] = 810

---> (900) * [1 - (x/100)] = 810

---> [1 - (x/100)] = 810/900

---> [1 - (x/100)] = 9/10

---> x/100 = 1 - (9/10)

---> x/100 = 1/10

---> x = (1/10) * 100

--->

Hence, the

And Selling price of the watch = Rs. 810

Watch is sold after getting one discount of 10% and another discount of some rate which is not known.

Let the second discount rate be 'x'

Then, according to the question,

Marked price * 10% discount * x% discount = Rs. 810

---> 1000 * [1 - (10/100)] * [1 - (x/100)] = 810

---> 1000 * [9/10] * [1 - (x/100)] = 810

---> (900) * [1 - (x/100)] = 810

---> [1 - (x/100)] = 810/900

---> [1 - (x/100)] = 9/10

---> x/100 = 1 - (9/10)

---> x/100 = 1/10

---> x = (1/10) * 100

--->

**x = 10%**Hence, the

**second discount rate = 10%**.
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7. A dealer allowed a discount of 25% on marked price of Rs.20,000 on an article and incurred a loss of 20%. What discount should he allow on the marked price so that he gains Rs.450 on the article?

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Correct Ans:4%

Explanation:

Given: Discount - 25%; Marked price - Rs.20,000

WKT,

SP = [((100 - 25)/100)*20000

SP = (75/100)*20000

SP = Rs. 15,000

Given that 20% loss,

15000 = [(100 - 20)/100]*CP

CP = (15000 x 100)/80

CP = Rs. 18,750

If he gains Rs.450 means,

SP = 15000 + 450 = Rs. 19,200

Therefore,

Discount = 20000 - 19200 = Rs. 800

WKT,

**SP = [(100 - Discount)/100]*MP**SP = [((100 - 25)/100)*20000

SP = (75/100)*20000

SP = Rs. 15,000

Given that 20% loss,

**SP = [(100 - Loss)/100]*CP**15000 = [(100 - 20)/100]*CP

CP = (15000 x 100)/80

CP = Rs. 18,750

If he gains Rs.450 means,

SP = 15000 + 450 = Rs. 19,200

Therefore,

**Discount = Marked price - SP**Discount = 20000 - 19200 = Rs. 800

**Discount %**= (800/20000)*100 =**4%.**
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8. Megha bought some toys at 20% discount on the original price. The original price of each toy was Rs. 40. If she made a total savings of Rs.240, how many toys did she buy?

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Correct Ans:30

Explanation:

Given: Discount - 20%; Original price of toy - Rs.40; Total savings - Rs. 240

Discount amount = 20% of 40

= (20/100)*40

= Rs. 8

Megha saves Rs.8 on each toy.

Therefore, number of toys = 240/8 = 30 toys

Discount amount = 20% of 40

= (20/100)*40

= Rs. 8

Megha saves Rs.8 on each toy.

Therefore, number of toys = 240/8 = 30 toys

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9. In a sale, perfume are available at a discount of 25% on the selling price. If a perfume costs Rs. 5895 in the sale, what is the selling price of the perfume?

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Correct Ans:Rs. 7860

Explanation:

Given : CP - Rs. 5895; Discount - 25%

Let the SP of perfume be 'X'.

5895 = X - 25% of X

5895 = 75% of X

X = (5895 * 100)/75

X = Rs. 7860

Therefore, SP of perfume is Rs. 7860.

Let the SP of perfume be 'X'.

**CP = SP - 25% of SP**5895 = X - 25% of X

5895 = 75% of X

X = (5895 * 100)/75

X = Rs. 7860

Therefore, SP of perfume is Rs. 7860.

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10. The printed price of a mobile is Rs. 2500. A shopkeeper earns a proï¬t of 25% after selling it at 20% discount on the printed price. If he sells it at a price which is Rs. 250 less than the printed price, what is his percentage profit?

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Correct Ans:40.62%

Explanation:

Given: MP = Rs. 2500; Profit = 25%; Discount = 20%

WKT,

SP = [(100 - 20)/100]*2500

= [80/100]*2500

= Rs. 2000

CP = [100/(100 + 25)]*2000

= [100/125]*2000

= Rs. 1600

If he sells it at a price which is Rs. 250 less than the printed price,

New SP = 2500 - 250 = Rs. 2250

Profit = 2250 - 1600 = Rs.650

Therefore,

= (650/1600)*100

= 40.62%

WKT,

**SP = [(100 - Discount)/100]*MP**SP = [(100 - 20)/100]*2500

= [80/100]*2500

= Rs. 2000

**CP = [100 / (100 + gain%)] * S.P**CP = [100/(100 + 25)]*2000

= [100/125]*2000

= Rs. 1600

If he sells it at a price which is Rs. 250 less than the printed price,

New SP = 2500 - 250 = Rs. 2250

Profit = 2250 - 1600 = Rs.650

Therefore,

**Profit % = (Profit / CP) * 100**= (650/1600)*100

= 40.62%

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11. The single discount equivalent to the discount series of 20%, 10% and 5% is

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Correct Ans:31.60%

Explanation:

Given: Discount series 20%, 10%, 5%.

WKT, Successive discount = [x + y - (xy/100)]%

Single equivalent discount for 20% and 10%,

Here, x = 20; y =10

= [20 + 10 - (20 x 10)/100]%

= (30 - 2)%

= 28%

Single equivalent discount for 28% and 5%,

Here, x = 28; y = 5

= [28 + 5 - (28 x 5)/100]%

= [33 - (7/5)]%

= [(165 - 7)/5]%

= 31.6%

WKT, Successive discount = [x + y - (xy/100)]%

Single equivalent discount for 20% and 10%,

Here, x = 20; y =10

= [20 + 10 - (20 x 10)/100]%

= (30 - 2)%

= 28%

Single equivalent discount for 28% and 5%,

Here, x = 28; y = 5

= [28 + 5 - (28 x 5)/100]%

= [33 - (7/5)]%

= [(165 - 7)/5]%

= 31.6%

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12. A fan is listed at Rs.150 with a discount of 20%. What additional discount must be offered to the customer to bring the net price to Rs.108?

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Correct Ans:None of these

Explanation:

Given: Marked price of fan = Rs.150

Discount = 20%

WKT, SP = [(100 - Discount)/100]*MP

SP = (80/100)*150 = Rs.120

But SP = Rs. 108

Therefore, additional discount = 120 - 108 = Rs. 12

Required percentage = (12/120)*100 = 10%.

Hence correct answer is none of these.

Discount = 20%

WKT, SP = [(100 - Discount)/100]*MP

SP = (80/100)*150 = Rs.120

But SP = Rs. 108

Therefore, additional discount = 120 - 108 = Rs. 12

Required percentage = (12/120)*100 = 10%.

Hence correct answer is none of these.

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13. The difference between successive discounts of 40% followed by 30% and 45% followed by 20% on the marked price of an article is Rs.12. The marked price of the article is

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Correct Ans:Rs.600

Explanation:

Given:

Difference between successive discounts on the marked price of an article is Rs.12.

WKT, Successive discount = (x + y - xy / 100) %

As per the questions,

[40 + 30 - (40 x 30)/100] - [45 + 20 - (45 x 20)/100] = Rs.12

[70 - 12] - [65 - 9] = Rs.12

58 - 56 = Rs.12

2 = Rs.12

2% = Rs.12

Therefore, 100% = (12 x 100)/2

= Rs.600

So, marked price of the article is Rs.600.

Difference between successive discounts on the marked price of an article is Rs.12.

WKT, Successive discount = (x + y - xy / 100) %

As per the questions,

[40 + 30 - (40 x 30)/100] - [45 + 20 - (45 x 20)/100] = Rs.12

[70 - 12] - [65 - 9] = Rs.12

58 - 56 = Rs.12

2 = Rs.12

2% = Rs.12

Therefore, 100% = (12 x 100)/2

= Rs.600

So, marked price of the article is Rs.600.

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14. The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs.448. What should be the sale price for making 50% profit?

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Correct Ans:Rs. 960

Explanation:

Formula:

Profit (P) = Selling price- Cost price

Loss (L) = Cost price - Selling price

Let, the cost price of the article be X

P = 832 -X

L = X- 448

Given, P=L

832-X = X-448

2X = 832 + 448 = 1280

% Profit = (Profit/ Cost price) x 100

50/100 = (Selling price - 640) / 640

Selling Price = 320 + 640 = Rs.960.

Profit (P) = Selling price- Cost price

Loss (L) = Cost price - Selling price

Let, the cost price of the article be X

P = 832 -X

L = X- 448

Given, P=L

832-X = X-448

2X = 832 + 448 = 1280

% Profit = (Profit/ Cost price) x 100

50/100 = (Selling price - 640) / 640

Selling Price = 320 + 640 = Rs.960.

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15. A shopkeeper buys some vegetables at a discount of 15% on label price if he wants to make a profit of 20% after allowing a discount of 10%, then by what % should his marked price be greater than the original labelled price?

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Correct Ans:13.33%

Explanation:

Let us assume that,

The Cost Price (C.P) of the vegetables = Rs.100

After 15% discount the shopkeeper buys them for Rs.85

New C.P = Rs.85

New Marked Price (M.P) after 20% profit

= (120/100) * 85

= Rs.102

This is the price after 10% discount on marked price

So, the M.P = Rs.102 * (90/100) = 113.33

The initial C.P of the vegetables is Rs.100

Therefore,

The marked price is 13.33% more.

Hence, option C is correct.

The Cost Price (C.P) of the vegetables = Rs.100

After 15% discount the shopkeeper buys them for Rs.85

New C.P = Rs.85

New Marked Price (M.P) after 20% profit

= (120/100) * 85

= Rs.102

This is the price after 10% discount on marked price

So, the M.P = Rs.102 * (90/100) = 113.33

The initial C.P of the vegetables is Rs.100

Therefore,

The marked price is 13.33% more.

Hence, option C is correct.

**Note:**

When Discount is offered, M.P. > S.P.

When Discount is not offered, M.P. < S.P.When Discount is offered, M.P. > S.P.

When Discount is not offered, M.P. < S.P.

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16. Dev got a discount of 30% on the marked price of an article which he sold for Rs. 8750 with 25% profit on the price he bought. Find the marked price?

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Correct Ans:Rs. 10,000

Explanation:

Given: SP = Rs.8750; Profit =25%; Discount = 30%

WKT,

CP = 8750[100/(100 + 25)]

= 8750[100/125]

= Rs.7000

As per the question discount is 30%, so

70% of MP = CP

(70/100)xMP = CP

MP = 7000 x (100/70)

WKT,

**CP = SP[100/(100 + Profit)]**CP = 8750[100/(100 + 25)]

= 8750[100/125]

= Rs.7000

As per the question discount is 30%, so

70% of MP = CP

(70/100)xMP = CP

MP = 7000 x (100/70)

**MP = Rs. 10,000.**
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17. After getting two successive discounts Deepa got a shirt at Rs. 136 whose marked price is Rs. 200. If the second discount is 15% find the first discount.

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Correct Ans:20%

Explanation:

Let the first discount be

Second discount = 15%

MP = Rs. 200

CP of shirt = Rs. 136

85% of (100 - X)% of 200 = 136

(85/100) x [(100 - X)/100] x 200 = 136

85 x (100 - X) = (136 x 100)/2

8500 - 85X = 6800

1700 = 85X

X = 20%

Therefore,

**'X%'.**Second discount = 15%

MP = Rs. 200

CP of shirt = Rs. 136

85% of (100 - X)% of 200 = 136

(85/100) x [(100 - X)/100] x 200 = 136

85 x (100 - X) = (136 x 100)/2

8500 - 85X = 6800

1700 = 85X

X = 20%

Therefore,

**first discount is 20%.**
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18. A shopkeeper gains 21% after allowing a discount of 12% on the marked price of an article. Find his profit percent, if the article is sold at marked price allowing no discount.

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Correct Ans:37.50%

Explanation:

Given:

Profit = 21%; Discount = 12%

Let the cost price of article be Rs. 100.

So, the SP of article be = Rs. 121

WKT, MP = SP[100/(100 - discount)]

MP = 121*[100/(100 - 12)]

MP= 121*(100/88)

MP = Rs. 137.5

Profit = MP - CP = 137.5 - 100 = Rs. 37.5

Profit% = (Profit/CP)*100

Profit% = (37.5/100)*100

Required profit % = 37.5%.

Profit = 21%; Discount = 12%

Let the cost price of article be Rs. 100.

So, the SP of article be = Rs. 121

WKT, MP = SP[100/(100 - discount)]

MP = 121*[100/(100 - 12)]

MP= 121*(100/88)

MP = Rs. 137.5

Profit = MP - CP = 137.5 - 100 = Rs. 37.5

Profit% = (Profit/CP)*100

Profit% = (37.5/100)*100

Required profit % = 37.5%.

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19. If the cost of an article is Rs. P after two successive reductions of 20% and 25%, the original price of the article was

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Correct Ans:Rs. 5P/3

Explanation:

Let, the original price of the article be x

x * (100 - 20)/100 * (100 - 25)/100 = P

x * 80/100 * 75/100 = P

x * 3/5 = P

x = 5P/3

The original price of the article was Rs. 5P/3

x * (100 - 20)/100 * (100 - 25)/100 = P

x * 80/100 * 75/100 = P

x * 3/5 = P

x = 5P/3

The original price of the article was Rs. 5P/3

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20. Jasmine allows 4% discount on the marked price of her goods and still earns a profit of 20%. What is the cost price of a shirt, if its marked price is Rs. 850?

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Correct Ans:Rs. 680

Explanation:

Given, Discount - 4%; Profit - 20%; MP = Rs. 850

SP = MP[1 - (r/100)]

= 850[1- (4/100)]

= 850(96/100)

SP = Rs. 816

WKT, CP = [100/(100 + profit)]*SP

CP = [100/(100 + 20)]*816

= (100/120)*816

CP= Rs. 680

Therefore, cost price of shirt is Rs. 680.

SP = MP[1 - (r/100)]

= 850[1- (4/100)]

= 850(96/100)

SP = Rs. 816

WKT, CP = [100/(100 + profit)]*SP

CP = [100/(100 + 20)]*816

= (100/120)*816

CP= Rs. 680

Therefore, cost price of shirt is Rs. 680.

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