Question

Find the Number of One Rupee Coins
A box has 210 coins of denominations one rupee and fifty paise only. The ratio of their respective values are 13:11. Find the number of one-rupee coins?

Answer 1

Hi,

Number of coins coins = 210 ( given )

Let the number of one rupee coins = x

Value of one rupee coins = 100x paise---( 1 )

Number of 50 paise coins = 210 - x

Value of 50 paise coins = 50( 210 - x ) ---( 2 )

Ratio of values = 13 : 11 ( given )

( 1 )/( 2 ) = 13 / 11

100x / [ 50(210 - x ) ] = 13 / 11

2x / ( 210 - x ) = 13 / 11

22x = 13 ( 210 - x )

22x = 2730 - 13 x

22x + 13x = 2730

35x = 2730

x = 2730 / 35

x = 78

Therefore,

Number of one rupee coins = x = 78

I hope this helps you.

:)