A and B have their monthly incomes in the ratio 8 : 5, while their monthly expenditures are in the ratio 5 : 3. If they have saved Rs. 12,000 and Rs 10,000 monthly respectively, then the difference in their monthly incomes is
-
Rs 52,000
-
Rs. 42,000
-
Rs. 44,000
-
Rs. 46,000
Solution
Multi-choise Question
B.
Rs. 42,000
Let A's monthly income be Rs. 8x
A's monthly expenditure be Rs. 5y
Let B's monthly income be Rs. 5x
B's monthly expenditure be Rs. 3y
According to the question,
8x - 5y = 12000 ...(i)
5x - 3y = 10000 ...(ii)
Solving (i) and (ii), we get
⟹ x = 14000
Difference between monthly incomes of A and B
= 8x - 5x = Rs. 3x = Rs. (3 x 14000)
= Rs. 42000