Question

The ratio of incomes of two friends 3:5. In the next month their incomes are increased by rs.300 and rs.400 respectively. What is the new ratio of their incomes, if the difference in their incomes after increment is rs 500 ?

Answer 1

Solution :-

Let the incomes of 'a' and 'b' be 3x and 5x

Increment in the next month in the incomes of 'a' and 'b' Rs. 300 and Rs. 400 respectively.

Difference between their respective incomes after increment = Rs. 500

So, according to the question.

⇒ 3x + 300 + 500 = 5x + 400

⇒ 3x - 5x = 400 - 500 - 300

⇒ - 2x = - 400

⇒ 2x = 400

⇒ x = 200

So, income of 'a' after increment = (3*200) + 300

= 600 + 300

= Rs. 900

Income of 'b' after increment = (5*200) + 400

= 1000 + 400

= 1400

New ratio of incomes of 'a' and 'b' = 900 : 1400

= 9 : 14

Answer.