Question

The ratio of incomes of two friends Jasmine and Arman is $9:7$ and the ratio of their expenditures is $4:3$. If each of them saves $Rs.6,000$ per month, find their monthly incomes. Also, if each of them donates $2\%$ of her/his income to a charity working for old age destitutes, find the resulting savings of each. What value is indicated from his action?

Answer 1

Ratio of income = 9 : 7

let us assume inc. = X

Jasmin income = 9X

Armaan income = 7X

Ratio of expenditure = 4:3

jasmine expenditure = 4X

Armaan expenditure = 3X

Both savings = 6000

Jasmine

SAVINGS= 9X -4X

6000= 5X

6000/5= X

X= 1200

9X = 9 * 1200

9X = RS.10800

2 % Donated

So 2% Of 10800 = 216

Final Savings = 6000 - 216

= RS 5784

Armaan

Savings = 7X - 3X

6000= 4X

6000/4= 1500

X = 1500

7X = 7 * 1500

7X= RS 10500

2% Donated

So 2% Of 10500 = 210

Final Saving= 6000 - 210

=RS 5790