SSC CGL 2022 PYQ — Question 75

SSC CGL - 01 Dec 2022 - Shift 3 • Quantitative Aptitude • Q75

Kapil sells a mobile to Sachin at a gain of 15% and Sachin again sells it to Rohit at a profit of 12%. If Rohit pays Rs.322, what is the cost price of the mobile for Kapil?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. Rs.250

Given:

Kapil sells a mobile to Sachin at a gain of 15% and Sachin again sells it to Rohit at a profit of 12%.

Rohit pays Rs.322.

Concept used:

1. Selling Price = Cost Price × (1+ Gain%)

2. Final percentage change after two successive increments of A% and B% = (A + B + 48)% 100

Calculation:

Total profit percentage = 15 + 12 + (15 × 12)/100 = 28.8%

Now, the cost price of the mobile for Kapil = 322 (1 + 28.8%) = Rs. 250

So, The cost price of the mobile for Kapil is Rs. 250.