Question 8

A sum of Rs 125 is divided among u, v and w in such a way that u gets Rs 10 more than v and v gets Rs 5 more than w. What is the ratio of their shares?

Solution

Let amount with w = Rs. $$k$$

=> Share of v = Rs. $$(k+5)$$

Similarly, share of u = Rs. $$(k+15)$$

Total amount = $$k+(k+5)+(k+15)=125$$

=> $$3k=125-20=105$$

=> $$k=\frac{105}{3}=35$$

$$\therefore$$ Ratio of shares of u, v and w = $$35:(35+5):(35+15)$$

= $$7:8:10$$

=> Ans - (B)

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