Question

The ratio of incomes of three persons A B and is 4:5.6 and their savings are in the ratio 2:3:4 if the expenditures of A and B are Rs 300 and Rs 350 respectively, find the expenditure of C​

Answer 1

The Expenditure of C is 400

Given:

The ratio of incomes of three-person A B and C is 4:5.6 and their savings are in the ratio of 2:3:4

To Find:

The expenditure of C, ​if the expenditures of A and B are Rs 300 and Rs 350 respectively

Solution:

Consider 'x' as Income and 'y' as Savings.

Expenditure is nothing but the rest of the income after subtracting savings

So we can write 4x - 2y = 300 (Equation 1) as '300' is A's expenditure

For B; we can write 5x - 3y = 350 (Equation 2) as '350' is B's Expenditure.

Multiply Equation 1 by 3, we get, 12x - 6y = 900 (Equation 4)

Multiply Equation 2 by 2, we get, 10x - 6y = 700 (Equation 5)

Subtract Equation 5 from Equation 4, we get 2x + 0 = 200

Hence we get x = 100.

Substitute the x value in equation 1. We get,

4(100) - 2y = 300

           2y = 400-300

             y = 50

So, The Expenditure of C is 6x - 4y = 6(100) - 4(50)

                                                           = 600 - 200

                                                           = 400

Therefore, the Expenditure of C is 400

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