1. Some persons can do piece of work in 12 days. Twice the number of such persons will do half of that work in, how many days.
We will use our logic.
Some number of people complete the work in 12 days.
Number of people and time taken to complete the work is inversely proportional
Twice the people, will reduce the time by half.
Twice the number of people will complete the work in 6 days.
But now, only half of the work have to completed, which will take only 3 days.
2. In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk.
Less number of cows, more number of days (indirect proportion)
Less bags, less days (direct proportion)
Cows, 1 : 40 :: 40 : x
Bags , 40 : 1 :: 40 : x
---> (x) x 40 x 1 = 40 x 1 x 40
---> x= 40
3. In a camp, there is a meal for 200 children or 120 men. If 150 children have taken the meal, how many men will be served with the remaining meal?
Meal for 200 children = 120 men => 200 c = 120 m
50 children = (120/200) x 50 = 30 men
4. 39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Let the required number of days by x
Less person, more time (Inverse proportion)
Persons => 30 : 39 :: 12 : x
Time => 6 : 5 :: 12 : x
Therefore 30 x 6 x (x) = 39 x 5 x 12 => x = (39 x 5 x 12) / ( 30 x 6)
x = 13
5. If the cost of x meters of wire is d rupees, then what is the cost of y meters of wire at the same rate?
cost of x meters = Rs. d
Cost of 1 meter = Rs. d/x
Cost of y meter = Rs. (dy/x)
6. An industrial loom weaves 0.128 meters of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 meter of cloth ?
Let the time required by x seconds
Then, more cloth means more time (direct proportion)
So, 0.128 : 1 :: 25 : x => x = (25 x 1) / ( 0.128) => x = 195
So the required time will be 195 seconds
7. If a quarter kg of potato costs 60 paise, how many paisa will 200gm cost ?
Quarter kg = 250 grams
Less weight, less price (direct proportion)
250 : 200 :: 60 : x
x = (200 x 60)/ 250 => x = 48
So 200 gm will cost 48 paise.
8. If the price of 23 toys is 276, then find the price of 36 toys?
Less toys, less price (direct proportion)
So, let the price be x Rs. then 23 : 36 :: 276 : x => x = (276 x 36) / 23 = 432
9. 36 men can complete a work in 18 days. In how many days will 54 men can complete the same work?
Less men means more days ( Inverse proportion)
54 : 36 :: 18 : x => x = (36 x 18) / 54 = 36 / 3 = 12
Required number of days = 12, with 54 people working on it.
10. If 15 toys cost Rs. 240, then find the price of 40 toys ?
Less toys, less price (direct proportion)
So, let the price be x Rs. then 15 : 40 :: 240 : x => x = (240 x 40) / 15 = 640
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