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R and S started a business by investing Rs 20000 and Rs (20000+y), respectively. After six months, S withdrew 30% of his initial investment. At the en
Question



R and S started a business by investing Rs 20000 and Rs (20000+y), respectively. After six months, S withdrew 30% of his initial investment. At the end of the year, the total profit was Rs 13200, and the profit share of S was Rs 6800. Find the value of 3y.

A.

5000

B.

15000

C.

10000

D.

1500

E.

12000

Correct option is B

Information Given:
R and S started a business by investing Rs 20000 and Rs (20000+y), respectively.
After six months, S withdrew 30% of his initial investment.
At the end of the year, the total profit was Rs 13200.
The profit share of S was Rs 6800
Formulas Used:
Profit sharing ratio = Investment × Time
Basic Explanation:
The profit-sharing ratio of R and S
= 20000×12 :(20000+y)×6+(20000+y)×0.7×6
= 40000: 34000 + 1.7y
ATQ,
40000/(34000+1.7y) = 6400/6800
40000/(34000+1.7y) = 32/34
42500 – 34000 = 1.7y
y = 5000
Required value = 3y = 15000

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