Correct Answer - Option 1 : 40
Given
A bag contains an equal number of coins of 50 paise, 25 paise, 20 paise and 5 paise coins. The total value is Rs. 40.
Concept used
Ratio and proportion
Calculation:
Let x be the number of each type
The bag has an equal number of coins.
50 paise = 1/2 Rupee
25 paise = 1/4 Rupee
20 paise = 1/5 Rupee
5 paise = 1/20 Rupee
As per the question,
⇒ \(\frac{x}{2} + \frac{x}{4} + \frac{x}{5} + \frac{x}{{20}} = 40\)
⇒ 10x + 5x + 4x + x = 40 × 20
⇒ 20x = 800
⇒ x = 40
∴ Each type of coins = 40.