The ratio of the incomes of A and B is 3 : 5, whereas the ratio of their expenditures is 4 : 7 respectively. If A and B save ₹16,000 and ₹26,000, respectively, then what is the difference (in ₹) between their expenditures?
Answer & explanation
Correct answer: option 4
A : B
Incomes 3 : 5
Expenditures 4 : 7
___________
Savings = Income - Expenditure
-16000 -26000
$\frac{3R\;-\;16000}{5R\;-\;26000} = \frac{4}{7}$
Using cross - multiplication method,
⇒ 21R - 20R = (-26000 x 4) - (-16000 x 7)
⇒ R = 8000
Income of A = 3 x 8000 = ₹24,000
B = 5 x 8000 = ₹40,000
Expenditure of A = 24000 - 16000 = ₹8000
B = 40000 - 26000 = ₹14000
Difference in the expenditures of A and B = ₹6000