SSC CGL 2022 PYQ — Question 67

SSC CGL - 05 Dec 2022 - Shift 2 • Quantitative Aptitude • Q67

A shopkeeper earns 10% on an investment but loses 20% on another investment. If the ratio of the two investments is 2 : 3, then the combined loss percentage is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 8%.

Given:

Ratio of investments = 2 : 3

Gain on one investment = 10%

Loss on other investment = 20%

Explanation:

Let the first and second investments be 200 and 300 respectively.

Then, total amount of investement = 500

Now, gain on first investment = 10%

So, amount after gain = 200×110100200 \times {110 \over 100} = 220

Also, loss on second investment = 20%

So, amount after loss = 300×80100300 \times {80\over 100} = 240

Now the total amount after both profit and loss = 220 + 240 = 460

Now overall loss = 500 - 460 = 40

Therefore, loss % = 40500×100{40 \over 500} \times 100 = 8.

Hence the combined loss percentage is 8%.