SSC Quantitative Aptitude Ratio and Proportion Question Bank Ratio and Proportion (II)

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 spent 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

Solution :

[c] Let the savings of A and B are Rs. 4x, Rs. 5x and the share in cost of gift are Rs. 3y, Rs. 4y respectively. According to the question, For A, \[4x-3y=\frac{2}{3}\times 4x\] \[\Rightarrow \] \[x=\frac{9y}{4}\] (i) For B, \[5x-4y=145\] \[\Rightarrow \] \[5\times \frac{9y}{4}-4y=145\] [by Eq. (i)] \[\Rightarrow \] \[y=20\] \[\therefore \] Cost of gift \[=3y+4y\] \[=7\times 20=\text{Rs}\text{.}\,\,140\]

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