The marked price of a chair is ₹2,400, which is 20% above the cost price. If the chair is sold at a discount of 10% on marked price, what is the profit percentage?

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 4)

Answer 1

Given:

The marked price of a chair is ₹2,400, which is 20% above the cost price.

The chair is sold at a discount of 10% on the marked price

Concept used:

Selling price = Marked price × (100 - Discount)%

Selling price = Cost × (100 + profit)%

Calculation:

Selling price of the chair = 2400 × 90%

⇒ Rs. 2160

Now,

Cost price of the chair = 2400 × (100/120)

⇒ Rs. 2000

Profit = 2160 - 2000

⇒ Rs. 160

Profit% = (160/2000) × 100

⇒ 8%

∴ The profit percentage is 8%.

Shortcut Trick

MP is 20% above CP then CP : MP = 5 : 6

After 10% discount MP : SP = 10 : 9

Then, CP : SP = 50 : 54 so profit% = 4/50 × 100 = 8%