Question

A sum of money is divided among A,B,C and D in the ratio of 3:7:9:13 respectively. If the share of B is Rs 9,180 more than the share of A, then what is the total amount of money of A and C together?

• A. Rs 27,540
• B. Rs 27,560
• C. Rs 26,680
• D. Rs 24,740
• E. None of these

Answer 1

Answer: (A)

Rs 27,540

Answer 2

Let the shares of A, B, C, and D be 3x, 7x, 9x, and 13x, respectively.
According to the given information, the share of B is Rs 9,180 more than the share of A, so we can write:
7x (share of B) = 3x (share of A) + Rs 9,180
Now, solve for x:
7x - 3x = 9,180 4x = 9,180 x = 9,180 / 4 x = 2,295
Now that we have the value of x, we can find the shares of A and C:
Share of A = 3x = 3 * 2,295 = Rs 6,885 Share of C = 9x = 9 * 2,295 = Rs 20,655
Now, calculate the total amount of money of A and C together:
Total = Share of A + Share of C = Rs 6,885 + Rs 20,655 = Rs 27,540
So, the total amount of money of A and C together is Rs 27,540.
The Correct option is(A)