The ratio of incomes of two persons is 5 : 3 and that of their expenditures is 9 : 5. If they save Rs. 2600 and Rs.1800 respectively, their incomes are.

A. Rs. 9000, Rs. 5400

B. Rs. 10000, Rs. 6000

C. Rs. 6000, Rs. 3600

D. Rs. 8000, Rs. 4800

Answer: Option D

Solution(By Examveda Team)

Let the incomes of the two persons be 5x and 3x
and
their expenditures be 9y and 5y respectively.
Then,
= 5x - 9y = 2600.....(i)
= 3x - 5y = 1800.....(ii)
Multiplying (i) by 3 and (ii) by 5, we get:
= 15x - 27y = 7800.....(iii)
= 15x - 25y = 9000.....(iv)
Subtracting (iii) from (iv), we get : 2y = 1200 or y = 600
Putting y = 600 in (i), we get : 5x = 8000 or x = 1600.
∴ Their incomes are Rs. (5 × 1600) and Rs. (3 × 1600)i.e.
Rs. 8000 and Rs. 4800 respectively