Correct Answer - Option 1 : 20 coins
Given:
The ratio of 10 paisa, 25 paisa and 50 paisa coins is 4 : 2 : 5
Calculation:
Let, 10 paisa coins = 4x
25 paisa coins = 2x
50 paisa coins = 5x
10 paisa = 1/10 rupee
25 paisa = 1/4 rupee
50 paisa = 1/2 rupee
Accordingly,
(4 ×1/10 + 2 × 1/4 + 5 ×1/2)x=34
⇒ (2/5 + 1/2 + 5/2)x = 34
⇒ (4 + 5 + 25)x/10 = 34
⇒ (17/5)x = 34
⇒ x = (34 × 5)/17
⇒ x = 10
⇒ 25 p coins = 2 × 10 = 20
∴ The required number of 25 paisa coins in the bag is 20