Total income of A, B and C is 6060 and they spend 80%, 85% and 75% of their incomes respectively. If their savings are in the ratio 5:6:9. Find the income of A?OptionsRs 1400Rs 1500Rs 1600Rs 1300

Let's solve this step by step:

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

Step 2: We are given that the savings of A, B, and C are in the ratio 5:6:9. This means that 20% of A's income is to 15% of B's income is to 25% of C's income as 5 is to 6 is to 9.

Step 3: Let's assume the incomes of A, B, and C to be a, b, and c respectively. We can write the equation as follows:

20/100 * a / 15/100 * b = 5/6 20/100 * a / 25/100 * c = 5/9

Step 4: Solving these equations, we get the ratios of a:b:c as 15:16:18.

Step 5: We know that the total income of A, B, and C is 6060. So, 15a + 16b + 18c = 6060.

Step 6: As a:b:c = 15:16:18, we can say a = 15x, b = 16x, and c = 18x. Substituting these values in the above equation, we get 1515x + 1616x + 18*18x = 6060.

Step 7: Solving this equation, we get x = 20.

Step 8: Substituting x = 20 in a = 15x, we get a = 15*20 = 300.

So, the income of A is Rs 300. But this is not in the options. There seems to be a mistake in the question or the options provided.