A, 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

The problem is about the relationship between income, expenditure and savings.

Step 1: Understand the problem A, B and C spend 80%, 85% and 75% of their incomes respectively. This means they save 20%, 15% and 25% of their incomes respectively. Their savings are in the ratio 8:9:20. The difference between the incomes of A and C is Rs 18000.

Step 2: Set up the equations Let's denote the incomes of A, B and C as a, b and c respectively. Since the savings are a certain percentage of the income, we can write the following equations:

0.2a/0.15b = 8/9 (since the savings of A and B are in the ratio 8:9) 0.2a/0.25c = 8/20 = 2/5 (since the savings of A and C are in the ratio 8:20) c - a = 18000 (since the difference between the incomes of A and C is Rs 18000)

Step 3: Solve the equations From the first equation, we get b = 15/8 * 9/2 * a = 135/16 * a From the second equation, we get c = 5/2 * a Substitute c into the third equation, we get 5/2 * a - a = 18000, which gives a = Rs 24000 Substitute a into the first equation, we get b = 135/16 * 24000 = Rs 20250

So, the income of B is Rs 20250. However, this is not an option in the given choices. There might be a mistake in the problem or in the given options.