Multiple choice

The monthly incomes of Amit and Bharat are in the ratio of 5 : 4, their monthly expenses are in the ratio of 19 : 21, and their monthly savings are in the ratio of 37 : 18. If the total annual savings of Amit and Bharat is Rs. 1,32,000, then Amit's monthly income is:

  1. Rs. 12,000

  2. Rs. 15,000

  3. Rs. 18,000

  4. Rs. 16,000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let incomes be 5x and 4x. Let expenses be 19y and 21y. Savings: 5x - 19y = 37k and 4x - 21y = 18k. Total savings 55k = 132000, so k = 2400. Solving the system for x gives 15000.

AI explanation

Let Amit and Bharat's monthly incomes be 5x and 4x, and their expenses be 19y and 21y. Their monthly savings are proportional to 37 : 18, so (5x - 19y) / (4x - 21y) = 37 / 18; cross-multiplying yields 90x - 342y = 148x - 777y, which simplifies to 58x = 435y, or x = 7.5y. The total annual savings equal Rs. 1,32,000, so the combined monthly savings are Rs. 11,000, meaning 55y = 11000 and y = 200. Substituting this gives x = 1500, and Amit's monthly income is 5x, so 5 multiplied by 1500 is 15000. Amit's monthly income is Rs. 15000.

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