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 36000Rs 30000Rs 24000Rs 27000

To solve this problem, we need to understand that the amount of money each person saves is the total income they have minus the amount they spend.

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.

The problem states that the savings of A, B, and C are in the ratio 8:9:20. This means that the 20% of A's income, 15% of B's income, and 25% of C's income are in the ratio 8:9:20.

Let's denote the incomes of A, B, and C as a, b, and c respectively. We can write the following equations based on the information given:

20% of a / 15% of b = 8 / 9 20% of a / 25% of c = 8 / 20

From the second equation, we can express a in terms of c:

a = 2.5c

The problem also states that the difference between the incomes of A and C is Rs 18000. Substituting a = 2.5c into this equation gives:

2.5c - c = 18000 1.5c = 18000 c = 18000 / 1.5 = Rs 12000

Substituting c = Rs 12000 into the first equation gives:

20% of a / 15% of b = 8 / 9 20% of 2.5c / 15% of b = 8 / 9 20% of 2.5 * 12000 / 15% of b = 8 / 9 6000 / 15% of b = 8 / 9

Solving for b gives:

b = 6000 / (8 / 9) * 15% = Rs 27000

So, the income of B is Rs 27000.