Question

Ravi has Rs 3 more than Ramu, but then Ramu wins on the horses and triples his money so that he now has Rs 2 more than the original amount of money that the two boys had between them. How much money did Ravi and Ramu have between them before Ramu's win?

• A. Rs 9
• B. Rs 11
• C. Rs 13
• D. Rs 15

Hint:

Let Ramu's money be x, write Ravi's as x + 3, then use "tripled Ramu's money = original total + 2".

Answer 1

The Correct Option is C

Instead of forming the equation from scratch, this method verifies each answer choice directly against the two conditions given in the question.

1. Rs 9: If the total is 9 and Ravi is Rs 3 more than Ramu, Ramu = $(9-3)/2 = 3$, Ravi = 6. Tripling Ramu's money gives $3 \times 3 = 9$, but this should equal total + 2 = 11. It does not match, so Rs 9 is wrong.
2. Rs 11: Ramu = $(11-3)/2 = 4$, Ravi = 7. Tripled Ramu = 12, but total + 2 = 13. Mismatch, so Rs 11 is wrong.
3. Rs 13: Ramu = $(13-3)/2 = 5$, Ravi = 8. Tripled Ramu = $3 \times 5 = 15$, and total + 2 = $13 + 2 = 15$. This matches exactly.
4. Rs 15: Ramu = $(15-3)/2 = 6$, Ravi = 9. Tripled Ramu = 18, but total + 2 = 17. Mismatch, so Rs 15 is wrong.

Only Rs 13 satisfies both conditions simultaneously, confirming the answer. \[ \boxed{Rs\ 13} \]