Question

hopkeeper sells wheat at 15% profit, but the weighing machine shows 950grams for 1Kg. So what is the % profit for shopkeeper if he sells 100kg of wheat. *

Answer 1

Answer:

The actual percentage of profit made by the shopkeeper will be 21%.

Step-by-step explanation:

Let the cost price of 1 kg wheat = Rs 1

=> Selling price of 1 kg wheat = 1 + (15/100) x 1 = Rs 1.15

Selling price of 100 kg wheat = 100 x 1.15 = Rs 115

Given that he the weighing machine shows 950 grams for 1 kg, so

Actual weight of wheat sold = 0.95 x 100 = 95 kg

=> cost price of 95 kg wheat = 1 x 95 = Rs 95

Profit = 115 - 95 = Rs 20

Percentage of profit = (20/95) x 100 = 21 %

Hence the actual percentage of profit made by the shopkeeper will be 21%.

Answer 2

Answer:

hopkeeper sells wheat at 15% profit, but the weighing machine shows 950grams for 1Kg. So  % profit for shopkeeper if he sells 100kg of wheat = 9.25%

Step-by-step explanation:

Let say wheat price per kg = rs X

15 % Profit = (15/100) X = Rs 0.15X

Selling Price = X + 0.15X = 1.15X  Rs per kg

Sold 100 kg

Selling price of 100 kg = 1.15X * 100 = 115X Rs

When machine shows 950 gm then actual weight = 1000 g   ( 1kg = 1000g)

When machine shows 1 gm then actual weight = 1000/950 = 20/19

when machine show 100 kg then actual weight = (20/19) * 100 = 2000/19 kg

Cost Price of 2000/19 kg =  2000X/19

Profit = 115 X - 2000X/19

=> Profit = (X/19)(2185 - 2000)

=> Profit =  185X/19

Profit % = {(185X/19)/(2000/19) } * 100

= 185/20

= 9.25 %