Multiple choice

Three friends Rajesh, Jatin and Himanshu started their jobs in the year 2011. They got their wages in the ratio 3 : 7 : 4. After a month, they decided to find out how much money they were spending. Their expenditures were in the ratio 4 : 3 : 5. Rajesh saved Rs. 300. His wage was Rs. 2400. How much money might the other two friends have saved?

  1. Rs. 4025 and Rs. 575

  2. Rs. 3025 and Rs. 675

  3. Rs. 2025 and Rs. 757

  4. Rs. 1575 and Rs. 805

  5. Rs. 1125 and Rs. 905
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A Correct answer
Explanation

Rajesh's wage is 2400 and his expenditure is 4 units. Since 4 units = 2400, 1 unit = 600. His expenditure is 4 * 600 = 2400, but he saved 300, implying his wage was 2700 (contradicting the 2400 given). Assuming the ratio 3:7:4 applies to wages, if Rajesh (3 parts) earns 2400, 1 part = 800. Jatin earns 5600 and Himanshu earns 3200. Using the expenditure ratio 4:3:5, if Rajesh's expenditure is 2400 - 300 = 2100, 1 unit = 525. Jatin's expenditure is 3 * 525 = 1575, saving 5600 - 1575 = 4025. Himanshu's expenditure is 5 * 525 = 2625, saving 3200 - 2625 = 575.

AI explanation

Since Rajesh's wage is 3 parts and equals Rs. 2400, one ratio unit for their wages is Rs. 800, making Jatin's wage 5600 and Himanshu's wage 3200. With Rajesh saving Rs. 300, his expenditure is 2100, which corresponds to 4 units in the expenditure ratio, meaning one expenditure unit is 525. Therefore, Jatin's expenditure is 3 * 525 = 1575 and Himanshu's is 5 * 525 = 2625. Subtracting these from their wages, Jatin saves 5600 - 1575 = Rs. 4025 and Himanshu saves 3200 - 2625 = Rs. 575.

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