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### Question

X starts a business with a capital of Rs. 4200. Some months later Y joins him with a capital of Rs. 700. For how much period does Y join if the profits are shared in the ratio 18 : 1?

**A**

4.

**B**

5.

**C**

3.

**D**

6.

**Soln.**

**Ans: a**

Money-months of X are 4200 × 12 = 50400. If money-months of X are 18 then money-months of Y are 1. So, if money-months of X are 50400, money-months of Y are $1/18 × 50400$, which gives months of Y = ${1 × 50400}/{18 × 700}$ = 4 months.