SSC CGL 2017 PYQ — Question 38

SSC CGL Tier II Quant - 12/01/2017 • Quantitative Aptitude • Q38

A man bought 500 metres of electronic wire at 50 paise per metre. He sold 50% of it at a profit of 5%. At what percent should he sell the remainder so as to gain 10% on the whole transaction?

Show answer & explanation

Correct answer: C

Explanation

 The correct answer is option 3 i.e. 15%

Understanding

Application

A man bought 500 metres of electronic wire at 50 paise per metre.

So,

Cost price of 500 meters

= 500 × 0.5 = Rs. 250

Selling price for 10% gain = 250 × 1.1 = Rs. 275

He sold 50% of it at a profit of 5%.

 

So,

Selling price of 250 meters wire = 250 × 0.50 × 1.05

= Rs. 131.25

Cost price of remaining 250 meters wire

= 250/2 = Rs. 125 

Selling price of remaining 250 meters wire

= 275 – 131.25 = Rs. 143.75

Hence,

Profit percentage

= [(143.75 – 125)/125] × 100

= 15%