Question

Aruna bought a bag with 20% discount on the original price. She got a profit of Rs. 50 by selling it at 150% of the price at which she bought. What was the original price of the bag?

• A. Rs. 125
• B. Rs. 175
• C. Rs. 200
• D. Rs. 225

Answer 1

Answer: (A)

Rs. 125

Let original price = x
Cost price = $x\times \frac{80}{100}=\frac{4x}{5}$
SP = $150\%of\frac{4x}{5}=\frac{6x}{5}$
We have
gain = SP - CP
50 = $\frac{6x}{5}-\frac{4x}{5}$
$\frac{2x}{5}=50$
$x=Rs.125$