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Brothers A and B had some savings in the ratio 4 : 5. They decided to buy a gift for their sister, sharing the cost in the ratio 3 : 4. After they bought. A is left with two-third of his amount, while B is left with RS. 145. Then, the value of the gift is

A) RS.70
B) RS.105
C) RS.140
D) RS.175

Correct Answer:



C) RS.140

Description for Correct answer:
Let the savings of A and B are 4x, 5x and the share in cost of gift are 3y, 4y respectively.

According to the question,

For A,4x-3y = \( \Large \frac{2}{3}\times 4x \)

=> x = \( \Large \frac{9y}{4} \) ....(i)

For B, 5x - 4y = 145

=> \( \Large 5x\times \frac{9y}{4}-4y \)=145 [byEq.(i)]

y = 20

Cost of gift = 3y + 4y = \( \Large 7\times 20 \) = RS. 140

Part of solved Ratio and Proportions questions and answers : >> Aptitude >> Ratio and Proportions

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