Select the correct answerTotal 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 1300Rs 1400Rs 1500Rs 1600

Let's solve this step by 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, it means 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 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.

3. Let's assume the incomes of A, B, and C to be a, b, and c respectively. We can then write the ratios as: 20/100 * a / 15/100 * b = 5/6 and 20/100 * a / 25/100 * c = 5/9

4. Solving these ratios we get the relations: a/b = 5/6 * 15/20 = 3/4 and a/c = 5/9 * 25/20 = 25/36

5. We also know that the total income of A, B, and C is 6060. So, we can write: a + b + c = 6060

6. Substituting the values of b and c from the relations in step 4 into the equation in step 5, we get: a + 4/3 * a + 36/25 * a = 6060 Simplifying this we get: 25a + 100a + 144a = 6060 * 75 269a = 454500 a = 454500 / 269 = Rs 1690

So, the income of A is Rs 1690. But this option is not given in the question. There might be a mistake in the question or the options provided.