Multiple choice

The salaries of Sonia, Rohit and Rishu are in the ratio of 5 : 6 : 8, respectively. Their expenditures are in the ratio of 2 : 3 : 4, respectively. Rishu saves Rs. 452 and his salary is Rs. 1,952. How much money does Rohit save?

  1. Rs. 339

  2. Rs. 350

  3. Rs. 355

  4. Rs. 360

  5. Rs. 365
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A Correct answer
Explanation

Rishu's salary is 1952 and his savings are 452, so his expenditure is 1952 - 452 = 1500. Given the expenditure ratio 2:3:4, 4 units = 1500, so 1 unit = 375. Rohit's expenditure is 3 units = 3 * 375 = 1125. Given the salary ratio 5:6:8, 8 units = 1952, so 1 unit = 244. Rohit's salary is 6 units = 6 * 244 = 1464. Rohit's savings = 1464 - 1125 = 339.

AI explanation

Using the given ratios, let the salaries of Sonia, Rohit, and Rishu be 5x, 6x, and 8x, and their expenditures be 2y, 3y, and 4y. Rishu's salary is 8x = 1952, so x = 244. Rishu's savings is 8x - 4y = 452, which gives 1952 - 4y = 452, meaning 4y = 1500 and y = 375. Rohit's savings is his salary minus his expenditure, which is 6x - 3y = 6(244) - 3(375) = 1464 - 1125 = Rs. 339.

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