-
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
Correct Option: B
A’s monthly income = Rs. 8x
A’s monthly expenditure= Rs. 5y
B’s monthly income = Rs. 5x
B’s monthly expenditure= Rs. 3y
According to the question,
8x – 5y = 12000 ....(i)
5x – 3y = 10000 ....(ii)
By equation (i) × 3 – (ii) × 5,
⇒ x = 14000
Difference between monthly incomes of A and B = 8x – 5x
= Rs. 3x = Rs. (3 × 14000)
= Rs. 42000
