A sum of ₹ 1,47,378 is divided between two persons A and B in the ratio 4 ∶ 7. The difference between thrice the part of A and twice the part of B will be:

Given:

Total sum = ₹ 1,47,378

Ratio between A and B = 4 ∶ 7

Formula Used:

Let A's part be 4x and B's part be 7x.

4x + 7x = 1,47,378

Difference between thrice the part of A and twice the part of B = 3(4x) - 2(7x)

Calculation:

4x + 7x = 1,47,378

⇒ 11x = 1,47,378

⇒ x = 1,47,378 / 11

⇒ x = 13,398

A's part = 4x = 4 × 13,398

⇒ A's part = 53,592

B's part = 7x = 7 × 13,398

⇒ B's part = 93,786

Difference between thrice the part of A and twice the part of B:

3(4x) - 2(7x) = 3(53,592) - 2(93,786)

⇒ 1,60,776 - 1,87,572

⇒ -26,796

As we are interested in the absolute difference:

⇒ 26,796

The difference between thrice the part of A and twice the part of B will be ₹ 26,796.