Q7 of 38 Page 88

Sandeep has Rs 50 more than Gayatri. If, when each of them is given Rs 15, the ratio of the money they have becomes 3 : 1, how much money did Gayatri have to begin with?

Let the money that Gayatri initially has = Rs. x

Therefore, money with Sandeep = Rs. (x + 50)


When each of them is given Rs 15, the ratio of the money they have becomes 3 : 1


Now, Money with Sandeep = x + 50 + 15 = x + 65


Also, money with Gayatri = x + 15



On cross multiplying, we get,


x + 65 = 3x + 45


⇒ 2x = 20


⇒ x = 10


Therefore, Gayatri initially had Rs. 10 with her


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