A, B and C divide an amount of Rs.4200 amongst themselves in the ratio of…
2025
A, B and C divide an amount of Rs.4200 amongst themselves in the ratio of 7:8:6 respectively. If an amount of Rs.200 is added to each of their shares, what will be the new respective ratio of their shares of amount?
- A.
8:9:6
- B.
7:9:5
- C.
7:8:6
- D.
8:9:7
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Correct answer: D
Compute each person's share and then add Rs.200 to each to find the new ratio.
Step 1: Find original shares. Total ratio parts = 7 + 8 + 6 = 21.
Step 2: Compute amounts: A = (7/21)×4200 = Rs.1400; B = (8/21)×4200 = Rs.1600; C = (6/21)×4200 = Rs.1200.
Step 3: Add Rs.200 to each share: A = 1400 + 200 = Rs.1600; B = 1600 + 200 = Rs.1800; C = 1200 + 200 = Rs.1400.
Step 4: Simplify the ratio 1600:1800:1400 by dividing each term by 200 to get 8:9:7.
Final answer: 8:9:7