Question

A purse contains Rs.1, 50 paise and 25 paise coins by number in the ratio 3 : 8 : 16. If the total value of all the coins be Rs.605; find the number of 25paise coins.

Answer 1

$Rs1=100p$

Let the number of $100p,50p,25p$ be $3a,8a,16a$

Given, total amount $=Rs605=605\times 100p$

$100\times 3a+50\times 8a+25\times 16a=605\times 100$

$300a+400a+400a=60500$

$1100a=60500$

$a=55$

Hence, the number of $Rs1=3a=165$

$50p=8a=440$
$25p=16a=880$