SSC Selection Post 2020 PYQ — Question 60

SSC Selection Post - Matriculation Level 2020 - 10 Nov 2020 - Shift 1 • Quantitative Aptitude • Q60

A trader earns ₹200 profit by selling an article. If he increases the price of the article by ₹130, his gain percentage increases to 28%. What is the cost price of the article?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. ₹1179.

The cost price be ₹x

SPOriginal   = x + 200

After increasing the price by ₹130:

SPNew = x + 200 + 130 = x + 330

New gain % = 28% = 28100\frac{28}{100}

⇒ x+330−xx=28100⇒330x=28100\frac{x + 330 - x}{x} = \frac{28}{100} \Rightarrow \frac{330}{x} = \frac{28}{100}

⇒ 330x=28100⇒330⋅100=28x⇒33000=28x⇒x=3300028=1178.57\frac{330}{x} = \frac{28}{100} \Rightarrow 330 \cdot 100 = 28x \Rightarrow 33000 = 28x \Rightarrow x = \frac{33000}{28} = 1178.57 ≈ 1179