SSC Sample Paper Mock Test-7 SSC CGL Tear-II Paper-1

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. 8000, Rs. 4800

B) Rs. 6000, Rs. 3600

C) Rs. 10000, Rs. 6000

D) Rs. 9000, Rs. 5400

Correct Answer: A

Solution :

Let the incomes of two persons be Rs. 5x and Rs. 3x and their expenditures be Rs. 9x and Rs. 5x respectively.

As given, \[5x-9y=2600\] ...(i)

\[3x-5y=1800\] ?(ii)

By \[5\times \]Eq. (i) \[-\,\,9\times \]Eq. (ii), we get

\[25x-27x=13000-16200\]

\[\Rightarrow \]\[-\,\,2x=-3200\]

\[\Rightarrow \]\[x=\frac{3200}{2}=1600\]

First person's income = Rs. \[(1600\times 5)\] = Rs. 8000

Second person's income = 3x = Rs. \[(1600\times 3)\]

= Rs. 4800