Question

 A bag contains Rs.1, 50 paise and 25 paise coins in the ratio 5 : 6 : 8. If the total amount of money in the bag is Rs.210, find the number of coins of each kind
1. 105, 126, 168
2. 123, 321, 456
3. 105, 115, 161
4. 108, 135, 145

Answer 1

Correct Answer - Option 1 : 105, 126, 168

Given:

A bag contains Rs.1, 50 paise and 25 paise coins in the ratio 5 : 6 : 8. If the total amount of money in the bag is Rs.210

Concept used:

Ratio and proportion

Calculation:

Let the number of coins of Rs.1, 50 paise and 25 paise be 5x, 6x and 8x

⇒ 5x × 1 + 6x × 1/2 + 8x × 1/4 = 210

⇒ 5x + 3x + 2x = 210

∴ x = 21

Rs.1 coins = 21 × 5 = 105

50 paise coins = 6 × 21 = 126

25 paise coins = 8 × 21 = 168

∴ The required answer will be 105, 126, 168.