A dishonest shopkeeper sells mangoes at Rs. 30/kg bought at Rs. 20/kg and he is giving 800 g instead of 1 kg. The shopkeeper's actual profit percentage is:

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 4)

Answer 1

Given:

Cost Price of the mangoes = Rs.20 per kg

Selling Price of the mangoes = Rs.30 per kg

Cheats by 1000 - 800 = 200 gram

Formula used:

Profit % = (Profit / Cost Price) × 100

Profit = (Selling Price – Cost Price)

Calculations:

The cost price of 1000 grams of sugar = Rs.20

The cost price of 1 gram of sugar = 20/1000

He gave only 800 grams, and cheat on the customer with 200 grams

So the cost price of 800 gram sugar = (20 × 800)/1000

The cost price of 800 grams of sugar = 16

The selling price of sugar = 30

Profit = 30 - 16 = 14

Profit % = (Profit / Cost Price) × 100

⇒ (14/16) × 100

⇒ 87.5 %

∴The profit earned by shopkeepers is 87.5%

Shortcut Trick

⇒ CP : SP = 20 × 800 : 30 × 1000

⇒ CP : SP = 16 : 30 ⇒ P = (30 - 16= 14)

Profit % = (14/16) × 100 = 87.5%