SSC GD 2021 PYQ — Question 74

SSC GD Constable (English) - 18th November 2021 Shift 2 • Quantitative Aptitude • Q74

An electric heater was sold at a profit of 12%. If its cost had been 5% less and it had been sold for ₹180 less, the profit would have been 10%. What is the cost price of the electric heater?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. ₹2400

Let's assume the cost price of the electric heater = 100

So, SP of the heater after 12 % profit = 100 × 112/100 = 112

ATQ,

If he purchases the heater 5% less then CP = 100 × (100-5)/100 = 95

For 10% profit, the Sp of the heater = 95 × 110/100 = 104.5

We have given, the difference in the = 112 - 104.5 = 7.5

7.5 = 180

So, 100 = 180/7.5 × 100 = Rs 2400