Question

The monthly incomes of A, B and C are in the ratio 5 : 7 : 9. Their monthly savings are in the ratio 2 : 3 : 4. The ratio of A’s expenditure to C’s expenditure is 3 : 5. If the total monthly income of A, B and C is Rs. 42,000, find: (i) B’s monthly savings (ii) The difference between the monthly expenditures of C and A. Choose the Correct Options -

Q: Answer-The monthly incomes of A, B and C are in the ratio 5 : 7 : 9. Their monthly savings are in the ratio...

ATQ, Let incomes of A, B, C be 5x, 7x, 9x. Let their savings be 2y, 3y, 4y. Then expenditures are A 5x 2y B 7x 3y C 9x 4y. Given 5x 2y 9x 4y 3 5 5x 2y9x 4y 35 Cross-multiplying 55x 2y 39x 4y 25x 10y 27x 12y 0 2x 2y x y. Total income 5x 7x 9x 21x 42,000 x 2,000. So incomes are A 5x 10,000 B 7x 14,000 C 9x 18,000. Savings A 2x 4,000 B 3x 6,000 C 4x 8,000. Expenditures A 10,000 4,000 6,000 B 14,000 6,000 8,000 C 18,000 8,000 10,000. i Bs savings Rs. 6,000. ii Difference Cs exp As exp 10,000 6,000 Rs. 4,000. Answer i Rs. 6,000 ii Rs. 4,000.