Question

A shopkeeper 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

if he sells 1000gms with 15% profit, he gains 150gms, and earlier 50gm benefit (950only weighing out of 1000), so totally per kg he gains 200gms, then (200÷1000)×100=20kgs gain, finally (20÷100)×100= 20% profit

Answer 2

Answer:

Profit % =9.25%

Step-by-step explanation:

Given : A shopkeeper sells wheat at 15% profit, but the weighing machine shows 950 grams for 1 kg.

To find : What is the % profit for shopkeeper if he sells 100 kg of wheat

Solution :

Let say wheat price per kg = Rs x

15% Profit,

$\frac{15}{100}x = Rs 0.15x$

Selling Price =$x + 0.15x = 1.15x$   Rs per kg

Sold 100 kg,

Selling price of 100 kg = $1.15x \times 100 =Rs. 115x$

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

When machine shows 1 gm then actual weight =$\frac{1000}{950}=\frac{20}{19}$

When machine show 100 kg then actual weight = $\frac{20}{19}\times 100=\frac{2000}{19}$

Cost Price of $\frac{2000}{19}kg =\frac{2000x}{19}kg$

Profit is  $115x-\frac{2000x}{19}$

Profit is $\frac{185x}{19}$

$P\%=\frac{\frac{185x}{19}}{\frac{2000x}{19}}\times 100\\P\%=\frac{185}{20}$

Profit % =9.25%