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3 friends A, B and C invested Rs. 5000, 6000 and Rs. 7000 for 8 months, 4 months and 2 months respectively. Each of them invested Rs. 10,000 for the remaining part of the year. Find the ratio of profits at the end of the year?
1. 40 : 52 : 51
2. 35 : 52 : 57
3. 40 : 58 : 57
4. 40 : 52 : 57

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Correct Answer - Option 4 : 40 : 52 : 57

Given:

3 friends A, B and C invested Rs. 5000, 6000 and Rs. 7000 for 8 months, 4 months and 2 months respectively. Each of them invested Rs. 10,000 for the remaining part of the year.

Formula:

Ratio of Profit = ratios of product of Amount invested and time

Calculation:

Given, A, B and C invested 5000, 6000 and 7000 for 8, 4 and 2 months respectively and each of them invested Rs. 10,000 for the remaining part of the year.

A                                     :       B                                        :        C

5000 × 8 + 10,000 × 4    :       6000 × 4 + 10,000 × 8       :        7000 × 2 + 10,000 × 10

80,000                            :       104000                               :        114000

80                                   :       104                                     :        114

40                                   :        52                                      :         57

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