Question

2. A shopkeeper sells his goods at cost
price but uses a weight of 800 gm
instead of kilogram weight. What is his
profit percentage?​

Answer 1

A shopkeeper sells his goods at cost  price but uses a weight of 800 gm  instead of kilogram weight. The profit percentage is 25 %

Solution:

Given that,

A shopkeeper sells his goods at cost  price but uses a weight of 800 gm  instead of kilogram weight

If a trader professes to sell his goods at cost price, but uses false weights, then:

$Gain \% = [\frac{error}{true\ value - error} \times 100] \%$

Here,

True value = 1 kg = 1000 grams

But uses a weight of 800 gm

Therefore,

Error = 1000 - 800 = 200 grams

Therefore,

$Gain \% = [\frac{200}{1000-200} \times 100] \%\\\\Gain \% = [ \frac{200}{800} \times 100 ] \%\\\\Gain \% = 25 \%$

Thus profit percentage is 25 %

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Answer 2

Answer:

25 %

Step-by-step explanation:

Hi Guys

Let the cost price ( C.P ) of 1000g is "x"

Cost price ( C.P ) of 1g is x / 1000 g .

Let the selling price ( S.P ) of 800g is "x"

Selling price ( S.P ) of 1g is x / 800 g

Profit % = S.P – C.P / C.P × 100

=> x / 800 – x / 1000 / x / 1000 × 100

=> Simplify the expression , you will get

=> 200 / 800 × 100 = 25%

Therefore , Profit % = 25 %

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