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Mathematics

In a business, A invests ₹50000 for 6 months; B ₹60000 for 4 months and C ₹80000 for 5 months. If they together earn ₹18800, find share of each.

Ratio Proportion

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Answer

A invests ₹50000 for 6 months, total investment of A = ₹50000 x 6 = ₹300000.

B invests ₹60000 for 4 months, total investment of B = ₹60000 x 4 = ₹240000.

C ₹80000 for 5 months, total investment of C = ₹80000 x 5 = ₹400000.

Ratio of share of A, B and C = 300000 : 240000 : 400000 = 30 : 24 : 40.

Sum of ratios = 94.

Given, total earning = ₹18800.

Share of A = 3094×18800\dfrac{30}{94} \times 18800 = 56400094\dfrac{564000}{94} = ₹6000.

Share of B = 2494×18800\dfrac{24}{94} \times 18800 = 45120094\dfrac{451200}{94} = ₹4800.

Share of C = 4094×18800\dfrac{40}{94} \times 18800 = 75200094\dfrac{752000}{94} = ₹8000.

Hence, the shares of A, B and C are ₹6000, ₹4800 and ₹8000 respectively.

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