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Surabhi, Simona and Shruti Started a Business in a Partnership by Investing ₹ 60,000, ₹ 40,000 and ₹ 75,000 Respectively. - Mathematics and Statistics

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Question

Surabhi, Simona and Shruti started a business in a partnership by investing ₹ 60,000, ₹ 40,000 and ₹ 75,000 respectively. At the end of the year they found that they have incurred a loss of ₹ 24,500. Find that how much loss each one had to bear?

Sum

Solution

Invested by Surabhi = Rs 60,000
Invested by Simona = Rs 40,000
Invested by Shruti = Rs 75,000
Time = 1 year
Loss = Rs 24,500

Loss will be distributed to the capitals invested, in the proportion-

60,000 : 40,000 : 75,000
i.e 60 : 40 : 75
i.e 12 : 8 : 15

Now, 12 + 8 + 15 = 35

Loss incurred by Surabhi = `12/35 xx 24500`

                                        = Rs 8,400

Loss incurred by Simona = `8/35 xx 24500`

                                        = Rs 5,600

Loss incurred by Shruti = `15/35 xx 24500`

                                     = Rs 10,500

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2016-2017 (July) Set 1

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