Question : A child has 50 paisa coins and 1 rupee coin. The ratio of several 50 paise and 1 rupee coins is 4 : 3. If he has an amount of Rs. 10, then how many 50 paisa coins does he have?
Option 1: 12
Option 2: 10
Option 3: 8
Option 4: 16
Correct Answer: 8
Solution :
Let the number of 50 paisa coins as 4$x$ and the number of 1 rupee coins as 3$x$.
The total value of the 50 paisa coins
= 0.50 × 4$x$ = 2$x$ rupees
The total value of the 1 rupee coins
= 1.00 × 3$x$ = 3$x$ rupees
The sum of the values of the 50 paisa coins and the 1 rupee coins
⇒ 2$x$ + 3$x$ = 10
⇒ 5$x$ = 10
⇒ $x$ = $\frac{10}{5}$ = 2
So, the number of 50 paisa coins
= 4$x$ = 4 × 2 = 8
Hence, the correct answer is 8.
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