The incomes of A, B and C are in the ratio 5:8:13 and their spendings are in the ratio 3 :5 : 11. If A saves ¼ th of his income, then the savings of A, B and C are in the ratio of*1) 9 : 6 : 82) 4 : 7 : 93) 1 : 2 : 14) 5 : 9 : 6

To solve this problem, we first need to find out how much A, B, and C earn and spend.

Given that the incomes of A, B, and C are in the ratio 5:8:13, let's assume the incomes of A, B, and C to be 5x, 8x, and 13x respectively.

Similarly, given that their spendings are in the ratio 3:5:11, let's assume the spendings of A, B, and C to be 3y, 5y, and 11y respectively.

We know that A saves ¼ th of his income. So, A's savings = Income - Spending = 5x - 3y.

But we also know that A's savings is ¼ th of his income. So, 5x - 3y = ¼ * 5x = 1.25x.

Solving this equation for y, we get y = 0.75x.

Now, we can find the savings of B and C.

B's savings = Income - Spending = 8x - 5y = 8x - 5*0.75x = 4.25x.

C's savings = Income - Spending = 13x - 11y = 13x - 11*0.75x = 4.75x.

So, the ratio of the savings of A, B, and C is 1.25x : 4.25x : 4.75x.

Simplifying this ratio by dividing all terms by 1.25x, we get the ratio of the savings of A, B, and C as 1 : 3.4 : 3.8.

This ratio does not match any of the options given in the question. There might be a mistake in the question or in the options given.