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Vikram, Anjali and Raj started a business in partnership, investing in the ratio of 7 : 3 : 20, respectively. At the end of the year, they earned
Question

Vikram, Anjali and Raj started a business in partnership, investing in the ratio of 7 : 3 : 20, respectively. At the end of the year, they earned a profit of ₹28,800, which is 25% of their total investment. How much did Anjali invest (in ₹)?​

A.

₹11,472

B.

₹11,564

C.

₹11,520

D.

₹11,682

Correct option is C

Given:
Ratio of investments: Vikram : Anjali : Raj = 7 : 3 : 20
Total profit earned at the end of the year = ₹28,800
The profit earned is 25% of their total investment
Solution:
Let the total investment be T.
Profit = 25% of total investment
₹28,800 = 0.25 × T
T = 28,8000.25\frac{28,800}{0.25}​ = ₹1,15,200
Profit share for Anjali =330\frac 3{30}​ × Total Profit

Anjali’s Investment = 330\frac 3{30}​ × T

Anjali’s Investment = 330\frac 3{30}​× ₹1,15,200 = ₹11,520 

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