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Select the correct answerA, B and C spend 80%, 85% and 75% of their incomes respectively. If their savings are in the ratio 8:9:20 and the difference between the incomes of A and C is Rs 18000, then the income of B is?OptionsRs 24000Rs 27000Rs 36000Rs 30000

Question

Select the correct answerA, B and C spend 80%, 85% and 75% of their incomes respectively. If their savings are in the ratio 8:9:20 and the difference between the incomes of A and C is Rs 18000, then the income of B is?OptionsRs 24000Rs 27000Rs 36000Rs 30000

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Solution

The solution to this problem involves a few steps:

  1. We know that income is the sum of expenditure and savings. Since A, B, and C spend 80%, 85%, and 75% of their incomes respectively, they save 20%, 15%, and 25% of their incomes respectively.

  2. The problem states that the savings of A, B, and C are in the ratio 8:9:20. This means that the savings of A is 8x, B is 9x, and C is 20x for some value of x.

  3. Since savings is a percentage of income, we can write the incomes of A, B, and C in terms of x. A's income is 8x/0.20, B's income is 9x/0.15, and C's income is 20x/0.25.

  4. The problem states that the difference between the incomes of A and C is Rs 18000. So, we can write the equation (20x/0.25) - (8x/0.20) = 18000. Solving this equation gives x = 1500.

  5. Substituting x = 1500 into the equation for B's income gives B's income as 9x/0.15 = 9*1500/0.15 = Rs 90000.

So, the correct answer is not in the options given. The income of B should be Rs 90000.

This problem has been solved

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