Sunil purchased a fan at a 10% discount on the labelled price. If he had purchased it at a 15% discount, he would have saved ₹400. Find the labelled price of the fan.

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 3)

Answer 1

Given:

Sunil purchased a fan at a 10% discount on the labeled price.

If he had purchased it at a 15% discount, he would have saved ₹400.

Concept used:

Cost price = Labelled price × (100 - discount)%

Calculation:

Let the labeled price of the fan be Rs. 100x

Now,

After the actual discount cost price of the fan for Sunil was = 100x × 90%

⇒ 90x

Now,

If he gets a 15% discount then,

Cost price = 100x × 85%

⇒ 85x

According to the question,

90x - 85x = 400

⇒ 5x = 400

⇒ x = 80

So, 100x = 8000

∴ The labeled price of the fan is ₹8,000.

Shortcut Trick

A difference of 5% discount saved Rs.400

Then 100% → 400/5 × 100 = 8000 (Marked Price)