Question

A retailer marks an air conditioner 80% above its cost price. He offers a first discount of 25% on the marked price. During a festive offer, an additional discount of 10% is applied on the already discounted price. If the final selling price is ₹15,552, what is the approximate cost price of the air conditioner?"

• A. ₹9,000
• B. ₹9,200
• C. ₹12,800
• D. ₹10,000

Answer 1

Answer:

C. ₹12,800

Let the cost price be (C).

Marked Price

Marked 80% above cost:
$\text{MP} = 1.8C$

Apply successive discounts

First discount = 25%:
$1.8C \times 0.75$
Second discount = 10%:
$1.8C \times 0.75 \times 0.90$
$\text{Final SP} = 1.215C$

Use given selling price

$1.215C = 15,552$
$C = \frac{15552}{1.215} = 12,800$