The ratio of the incomes of A and B is 4 : 5 and the ratio of their expenditures is 2 : 3. If A and B save ₹ 7,200 and ₹ 6,000, respectively, then the income (in ₹) of A is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 19,200.
Given:
The ratio of the incomes of A and B is 4 : 5 end the ratio of their expenditures is 2 : 3. If A and B save ₹ 7,200 and ₹ 6,000
Formula used:
Savings = Income - expenditure
Calculations:
Let the income of A and B be 4x and 5x
According to the question
⇒ (4x - 7200)/(5x - 6000) = 2/3
⇒ 12x - 21600 = 10x - 12000
⇒ 2x = 9600
⇒ x = 4800
Income of A = 4x = 4 × 4800 = 19200