Question : In a bag, there are coins of 25 p, 10 p, and 5 p in the 2: 3: 5 ratio, respectively. If the coins' value is INR 5.25, how many 5 p coins are in the bag?
Option 1: 25
Option 2: 15
Option 3: 45
Option 4: 35
Correct Answer: 25
Solution :
Let the number of 25 p coins, 10 p coins, and 5 p coins as 2$x$, 3$x$, and 5$x$
The total value of the coins is INR 5.25, which is equivalent to 525 paise.
⇒ 25(2$x$) + 10(3$x$) + 5(5$x$) = 525
⇒ 50$x$ + 30$x$ + 25$x$ = 525
⇒ 105$x$ = 525
⇒ $x$ = $\frac{525}{105}$
⇒ $x$ = 5
Number of 5 p coins (5x) = 5 × 5
= 25
Hence, the correct answer is 25.
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