Question

A man sells an article at a certain price and suffers a loss of 20%. If he sells the article at ₹100 more, he gets a profit of 30%. Find the cost price of the article (in ₹).

• A. 250
• B. 300
• C. 150
• D. 200

Answer 1

Answer:

D. 200

Let the cost price be (x).

First condition (20% loss)

Selling price:
$\text{SP}_1 = 0.8x$

Second condition (30% profit with ₹100 more)

$\text{SP}_2 = 1.3x$

Also given:
$\text{SP}_2 = \text{SP}_1 + 100$

Form equation

$1.3x = 0.8x + 100$
$0.5x = 100$
$x = 200$

Final Answer: ₹200