Question

A purse contains 72 coins comprising one rupee,50 paise and 25 paise coins, their values being in
the ratio 10: 15:8. Find the number of 50 paise coins.
please explain step by step​

Answer 1

Answer:

30

Step-by-step explanation:

For making total value of 10 using 1 rupee coin, total 10 one rupee coins are needed.

For making 15 rupees using 50 paisa coin,total 30 coins are neede.

For making 8 rupees using 25 paisa coins, total 32 coins are required.

You have to make a group of 10 one rupee coin, 30 50 paisa coin and 32 25 paisa coins. So, total coins in this group is 72 itself. So, only one of this kind of group is required for which 30 50 paisa coins are required.

Answer 2

The number of 50 paise coins in the purse = 30

Given :

A purse contains 72 coins comprising one rupee ,50 paise and 25 paise coins, their values being in

the ratio 10 : 15 : 8

To find :

The number of 50 paise coins

Solution :

Step 1 of 2 :

Form the equation to calculate number of 50 paise coins

Here it is given that in the purse there are one rupee , 50 paise and 25 paise coins, their values being in

the ratio 10 : 15 : 8

Let values of one rupee , 50 paise and 25 paise coins are Rs. 10x , Rs. 15x and Rs. 8x respectively

Number of one rupee coins = 10x

Number of 50 paise coins = 2 × 15x = 30x

Number of 25 paise coins = 4 × 8x = 32x

By the given condition

$\displaystyle \sf 10x + 30x + 32x = 72$

Step 2 of 2 :

Calculate number of 50 paise coins

$\displaystyle \sf 10x + 30x + 32x = 72$

$\displaystyle \sf{ \implies }72x = 72$

$\displaystyle \sf{ \implies }x = 1$

Number of one rupee coins = 10 × 1 = 10

Number of 50 paise coins = 30x = 30 × 1 = 30

Number of 25 paise coins = 32x = 32 × 1 = 32

Hence number of 50 paise coins in the purse = 30

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