Rs 7791 is divided among Aneeta, Babeeta, and Chris in such a way that if Rs…
2022
Rs 7791 is divided among Aneeta, Babeeta, and Chris in such a way that if Rs 34, Rs 32, and Rs 29 are deducted from their respective shares, they are left with money in the ratio 4:3:6. Find Aneeta's share (in Rs).
- A.
2402
- B.
2556
- C.
2456
- D.
2550
Attempted by 14 students.
Show answer & explanation
Correct answer: A
When a total sum is divided among people and a fixed amount is then deducted from each person's share, the given ratio applies to what remains after all deductions, not to the original total. So the working amount for the ratio is (total minus sum of deductions), and any one person's original share is found by adding that person's own deduction back to their ratio-based portion of the remainder.
Sum of deductions = Rs 34 + Rs 32 + Rs 29 = Rs 95.
Amount left after all deductions = Rs 7791 - Rs 95 = Rs 7696 -- this is the amount actually split in the ratio 4:3:6.
Total number of ratio parts = 4 + 3 + 6 = 13, so each part = 7696 / 13 = Rs 592.
Aneeta's share of the remainder = 4 parts = 4 x 592 = Rs 2368.
Aneeta's original share = her remainder share + her own deduction = 2368 + 34 = Rs 2402.
Cross-check: computing all three original shares and adding them back should give Rs 7791. Babeeta = 3 x 592 + 32 = 1808; Chris = 6 x 592 + 29 = 3581; total = 2402 + 1808 + 3581 = 7791, which matches the amount originally divided.
So Aneeta's share is Rs 2402.
