Question

A bag contains Rs. 90 in coins. If coins of 50 paise, 25 paise and 10 paise are in the ratio 2 : 3 : 5, then the number of 25 paise coins in the bag is

• A. 80
• B. 100
• C. 120
• D. 35

Answer 1

The correct option is C 120

Total value of coins $=$ Rs. 90
Proportion of number of 50 paise, 25 paise and 10 paise coins $=$ 2 : 3 : 5
Proportion of their values $=2\times 50:3\times 25:5\times 10$
$=100:75:50$
Sum of the proportion $=100+75+50=225$
$\therefore$ Values of 25 paise coins $=Rs.\frac{90}{225}\times 75=Rs.30$
Hence, number of 25 coins $=30\times 4=120.$