Question

A dealer sets the marked price of a television 20% higher than its cost price. If he gives a discount of 15% and makes a profit of ₹300, what is the cost price of the television?

• A. ₹10,000
• B. ₹12,500
• C. ₹15,000
• D. ₹18,000

Answer 1

Answer:

C. ₹15,000

Let the cost price (CP) be ₹x.

Step 1: Marked Price (MP)

Marked 20% above CP:
MP = 1.2x

Step 2: Selling Price (SP)

Discount = 15% on MP:
$SP = 85\% \text{ of } MP = 0.85 \times 1.2x = 1.02x$

Step 3: Profit

$\text{Profit} = SP - CP = 1.02x - x = 0.02x$
Given profit = ₹300:

0.02x = 300
$x = \frac{300}{0.02} = 15000$

Final Answer:

Cost Price = ₹15,000