Question

A box contains 1-rupee, 50-paise and 25-paise coins in the ratio 8 : 5 : 3. if the total amount of money in the box is rs 112.50, the number of 50 – paise coins is

Answer 1

the no. of50 paise coine is 50

Answer 2

Answer:

50 number of 50-paise coins are there in the box

Step-by-step explanation:

We have been given that

A box contains 1-rupee, 50-paise and 25-paise coins in the ratio 8 : 5 : 3

Total amount of money in the box is Rs. 112.50.

We need to find the number of 50-paise coins in the box?

According to the question,

Let the ratio of the coins in the box be x

Therefore,

1-rupee = 8x;

50-paise = 5 × 0.50x = 2.50x;

25-paise = 0.25 × 3x = 0.75x;

Total amount in the box is 112.50

Therefore,

8x + 2.50x + 0.75x = 112.50

11.25x = 112.50

x = $\frac{112.50}{11.25}$

x = 10

Therefore, Amount that 50-paise coins makes in the box = 5 × 0.50 × 10

               Amount that  50-paise coins make in the box = Rs. 25

Hence, number of 50-paise coins = 50