Question

Ramesh has coins of 50 paise, Rs. 1 and Rs. 5 in the ratio of 2 : 3 : 5 respectively. He has a total amount of Rs. 116. How many coins does he have for 50 paise?
1. 12
2. 4
3. 6
4. 8

Answer 1

Correct Answer - Option 4 : 8

Given:

Ratio of 50 paise, Rs 1 and Rs 5 is 2 : 3 : 5

Ramesh has a total of Rs. 116

Calculation:

Let number of 50 paise coins be 2a

Let number of Rs 1 coins be 3a

Let number of Rs 5 coins be 5a

Hence, the value of 50 paise coins = 2a × 50p = 1a rupees

The value of Rs 1 coins = 3a × 1 = 3a rupees

The value of Rs 5 coins = 5a × 5 = 25a rupees

According to the question,

1a + 3a + 25a = 116

⇒ 29a = 116

⇒ a = 116/29 = 4

Number of 50 paise coins = 2 × 4 = 8

∴ Ramesh has 8 coins of 50 paise.