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Question

Mathematics Question on Ratio and Proportion

A and B enter into a partnership with Rs. 50,000 and Rs. 60,000 respectively. C joins them after x months contributing Rs 70,000 and B leaves x months before the end of the year. If they share the profit in the ratio of 20: 18: 21, then find the value of x.

A

6

B

3

C

9

D

8

Answer

3

Explanation

Solution

Profit is divided in the ratio of investment:
A = 50000×12=60000050000\times12 = 600000
B = 60000(12x)60000(12-x)
C = 70000x70000x
The ratio is of the profit will be 20:18:2120:18:21
To get the above ratio. x=3x = 3

The correct option is (B): 3