₹ 9400 is distributed among P, Q, R in such a way that if ₹ 93, ₹ 24, ₹ 55 are deducted from their respective shares, then they have money in the ratio 3:4:5. What is the share of P?
- A. ₹ 2307 ✓
- B. ₹ 2376
- C. ₹ 2508
- D. ₹ 2896
Correct Answer: A. ₹ 2307
Explanation
The total amount deducted from the three shares is 93 + 24 + 55 = 172. Subtracting this from the original total leaves 9400 - 172 = 9228, which is then divided into the given ratio of 3:4:5. The total number of ratio parts is 3 + 4 + 5 = 12, meaning each part is worth 9228 / 12 = 769. P's reduced share is 3 \times 769 = 2307. Although P's actual original share would be 2307 + 93 = 2400, the options provided in the exam reflect the reduced share value of 2307.
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