SSC MTS 2019 PYQ — Question 73

SSC MTS Previous Year - 07 August 2019 - Shift 1 • Quantitative Aptitude • Q73

The monthly incomes of Mohit and Prakash are in the ratio 2 : 3. Their monthly expanditure are in the ratio 3 : 5. If each saves Rs. 5000 per month, then what is the sum of monthly incomes of Mohit and Prakesh?

Show answer & explanation

Correct answer: B

Explanation

Correct Answer is option 2 i.e. Rs. 50000

Understanding

Application

The monthly incomes of Mohit and Prakash are in the ratio 2: 3

Suppose

Income of Mohit = 2x

Income of Prakash = 3x

Their monthly expenditures are in the ratio 3: 5.

Suppose

Expenditure of Mohit = 3y

Expenditure of Prakash = 5y

Each saves Rs. 5000 per month.

So,

2x – 3y = 5000 ……. (1)

3x – 5y = 5000 ……. (2)

By solving both equation:

We get, x = 2y

Put x = 2y in above equations:

x = 10000 y = 5000

Sum of monthly incomes of Mohit and Prakash = 5x

Hence,

5x = 5 × 10000 = Rs. 50000