Question

For 240 coins in the box, contains coins of 50 paise, 1 rupee, and 2 rupees. The value of each kind of coin are in the ratio 8:17: 15 respectively. How many 1 rupee coins are there in the box?

• A. $48$
• B. $90$
• C. $102$
• D. $108$

Answer 1

Answer: (C)

$102$

The given ratio is 8:17:15. This ratio is part to part ratio For holding the exact number of coins of each group we need to convert the ratio in part to whole and multiply with the total number of coins
i.e.
50 paisa:total coins= $\frac{8}{8+17+15}=\frac{8}{40}$

1 rupee:total coins=$\frac{17}{8+17+15}=\frac{17}{40}$

2 rupee: total coins=$\frac{15}{8+17+15}=\frac{15}{40}$

We require to find out the total number of 1 rupee coins

Total number of 1 rupee coins
= $240\times \frac{17}{40}=6\times 17=102$