B invests double the money invested by A and triple the money invested by C. The ratio of period of investment between A, B and C is 1:2:3. Diference between proft received by A and C is Rs 1410. Find total proft.
This questions was previously asked in
SEBI Grade A (Ph 1 Paper 1 2022)
Explanation:
Let’s walk through this problem clearly, bullet by bullet:
- Let’s call A’s investment = x.
- That means B invests 2x, and since B = 3C, C’s investment is (2x/3).
- Invested time ratios: A:B:C = 1:2:3. So Time_A = t, Time_B = 2t, Time_C = 3t.
- Their shares in profit are calculated as (Investment × Time):
- A: x × t
- B: 2x × 2t = 4xt
- C: (2x/3) × 3t = 2xt
- Combined investment ratios: A:B:C = xt : 4xt : 2xt = 1 : 4 : 2
- Total parts = 1 + 4 + 2 = 7
- Difference between C and A’s profit = C’s share – A’s share = (2/7) – (1/7) = (1/7) of total profit = Rs 1410
- So, (1/7) of profit = 1410
- Total profit = 1410 × 7 = Rs 9870
- Option 3 is correct.
Correct answer: Option 3 — Rs 9870
The options break down like this:
- Option 1, 2, 4, 5: Calculating (1/7) of these values wouldn’t give Rs 1410 difference.
- Option 3 works because (1/7) × 9870 = Rs 1410.
That’s how it all fits together, plain and simple.
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By: Parvesh Mehta