A dishonest shopkeeper sells sugar at Rs. 20 per kg which he bought at Rs. 15 per kg. Also, he gives 850 gm instead of 1000 gm. His actual profit or loss percentage is:

Question

Question

This question was previously asked in

SSC GD Constable Memory Based Test (10 Jan 2023 Shift 1)

Answer 1

Given:

Cost Price of the Sugar = Rs.15 per kg

Selling Price of the Sugar = Rs.20 per kg

Cheats by 1000 - 850 = 150 gram

Formula used:

Profit % = (Profit / Cost Price) × 100

Profit = (Selling Price – Cost Price)

Calculations:

The cost price of 1000 grams of sugar = Rs.15

The cost price of 1 gram of sugar = 15/1000

He gave only 850 grams, and cheat on the customer with 150 grams

So the cost price of 850 gram sugar = (15 × 850 )/1000

The cost price of 850 grams of sugar = 12.750

The selling price of sugar = 20

Profit = 20 - 12.750 = 7.250

Profit % = (Profit / Cost Price) × 100

⇒ (7.250/12.750) × 100

⇒ 56.86 %

∴The profit earned by shopkeepers is 56.86%

Shortcut Trick

⇒ CP : SP = 15 × 850 : 20 × 1000

⇒ CP : SP = 51 : 80 P = (80 - 51 = 29)

Profit % = (29/51) × 100 = 56.86%