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?

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Question

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SSC GD Constable Memory Based Test (6 Feb 2023 Shift 1)

Answer 1

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% = \((A + B + {AB \over 100})\%\)

Calculation:

Total profit percentage = \(15 + 12 + \frac {15 × 12}{100}\) = 28.8%

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

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

Shortcut Trick
We know 15% = 3/20 and 12% = 3/25

In the 1st transaction at 15% profit, Kapil : Sachin = 20 : 23

In the 2nd transaction at 12% profit Sachin : Rohit = 25 : 28

So, Kapil : Sachin : Rohit = 500 : 575 : 644

Here, 644 unit → Rs.322

Then, 500 unit → 322/644 × 500 = Rs.250