Keshav, Surjeet and Thomasstarted a business with investments in the ratio 2 : 3 : 4. The ratio of their period of investments is
5 : 6 : 9. Twenty percentof the profit was spent on rent and maintenanceof the office. Remaining profit was distributed among
themselves.If the difference in the shares of profit of Keshav and Surjeet is Rs7264, then how muchis the total profit (in Rs)?
This questions was previously asked in
SSC CGL 18th August 2021 Shift-3
Explanation:
- The investment ratio of Keshav, Surjeet, and Thomas is 2:3:4.
- Their time period ratio is 5:6:9.
- Their effective share ratio = (investment × time):
Keshav: 2×5 = 10
Surjeet: 3×6 = 18
Thomas: 4×9 = 36
So, their profit sharing ratio is 10:18:36.
- Total = 10 + 18 + 36 = 64 parts.
- 20% profit was spent, so 80% remains for distribution.
- Let total profit = Rs X.
Profit to divide = 0.8X
- Keshav's share = (10/64) × 0.8X
Surjeet's share = (18/64) × 0.8X
Difference = [ (18 - 10)/64 ] × 0.8X = (8/64)×0.8X = 0.1X
- Given difference = Rs 7264
So, 0.1X = 7264
? X = 72640
Options:
1. 72640
2. 46490
3. 51060
4. 58112
Correct Answer: 1. 72640
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By: santosh