Question 1

If a quarter Kg of potato costs 60 paise, How many paise will 200 gm cost?

Accepted Answer

Let the Required cost be X paise. Less Weight , Less cost (Direct Proportion) Therefore, 250 : 200 :: 60 : x => (250 * x) = (200 * 60) => x= 48

Question 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?

Accepted Answer

Let the required number of days be x. Less cows, More days (Indirect Proportion) Less bags, Less days (Direct Proportion) c o w s 1 : 40 : 40 : x b a g s 40 : 1 : 40 : x 1 x 40 x x = 40 x 1 x 40 => x = 40.

Question 3

4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?

Accepted Answer

Let the required number of bottles be x. More weavers, More mats (Direct Proportion) More days, More mats (Direct Proportion) w e a v e r s 4 : 8 } : 4 : x d a y s 4 : 8 } : 4 : x 4 x 4 x x = 8 x 8 x 4 => x = 8 * 8 * 4 4 * 4 => x = 16.

Question 4

In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?

Accepted Answer

There is a meal for 200 children. 150 children have taken the meal. Remaining meal is to be catered to 50 children. Now, 200 children = 120 men. 50 children = 120 200 50 =30men

Question 5

10 men, working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the work in 12 days ?

Accepted Answer

More Men, Less Hours {Indirect Proportion} Less Days, More Hours {Indirect Proportion} m e n 15 : 10 d a y s 12 : 18 ⋮ ⋮ 6 : x => 15 * 12 * x = 10 * 18 * 6 =>x = 6

Question 6

If 16 men working 7 hours day can plough a fieid in 4l days, inhow many days will 14 men working 12 hours a clay plough the samefield ?

Accepted Answer

(Men 14 : 16) : (Hrs/Day 12 : 7) :: 48 : x 14 * 12 * x = 16 * 7 * 48 or x = 32

Question 7

If the Price of 6 toys is Rs. 264.37, What will be the approximate price of 5 toys?

Accepted Answer

Let the required Price be Rs. X .Then, Lest toys , Less cost (Direct Proportion) Therefore 6 : 5 :: 264.37 : x => 6 * x = 5 * 264.37 => X= 220.308 Therefore, Approximate price of 5 toys = Rs. 220

Question 8

An industrial loom weaves 1.14 meters of cloth every second. Approximately, how much time will it take to weave 52 meters of cloth ?

Accepted Answer

Given loom weaves 1.14 mts of cloth in one second then 52 mts of cloth can be weaved by loom in, 1.14 ----- 1 52.0 ------? ⇒ 52 1 . 14 = 45.61 sec

Question 9

An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 metre of cloth ?

Accepted Answer

Let the time required by x seconds. Then, More cloth means More time (Direct Proportion) So, 0.128 : 1 :: 25 : x ⇒ x = 1 × 25 0 . 128 => x = 195.31 So time will be approx 195 seconds

Question 10

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

Accepted Answer

Let the required number of bottles be x. More machines, More bottles (Direct Proportion) More minutes, More bottles (Direct Proportion) m a c h i n e s 6 : 10 t i m e ( i n m i n ) 1 : 4 ⋮ ⋮ 270 : x => 6 * 1 * x = 10 * 4 * 270 => x= 1800

Question 11

If the price of 23 toys is 276, then what will the price of 12 toys ?

Accepted Answer

Less toys, Less Price (Direct Proportion) So, let the price be Rs. x then, 23:12::276:x => x=(276*12)/23 => x=144 So price of 12 toys will be Rs. 144

Chain Rule Questions