Question

The incomes of a, b and c are in the ratio 7:9:12 and their spending are in the ratio 8:9:15. if a save � of his income, then the savings of a, b and c are in the ratio:

Answer 1

Let’s A’s income, B’s income, C’s income be Rs 7x, Rs 9x, and Rs 12x respectively and their expenditures be Rs 8y, Rs 9y and Rs 15y respectively.Income= Expenditure + SavingSaving= Income - Expenditure7x-8y=7x/4=> 4(7x-8y)=7x=> 28x-32y=7x=>28x-7x=32y=> 21x=32y=> y=21x/32A’s Saving = 7x/4B’s Saving = 9x-9y=> 9(x-y)put y= 21x/32=> 9(x-21x/32)=> 9(32x-21x/32)=> 9(11x/32)=> 99x/32C’s Saving= 12x-15yput y=21x/32=> 12x - 15(21x/32)=> 12x -315x/32=> 384x-315x/32=> 69x/32Hence the required ratio,7x/4, 99x/32, 69x/3256:99:69