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A dishonest shopkeeper claims to sell salt at a rate of Rs. 25/kg. The cost price of the salt is Rs. 25/kg. Not satisfied with this, he tries to make
Question

A dishonest shopkeeper claims to sell salt at a rate of Rs. 25/kg. The cost price of the salt is Rs. 25/kg. Not satisfied with this, he tries to make profit by removing 200 gm from each kg. What is the shopkeeper’s gain percentage?

A.

15%

B.

25%

C.

30%

D.

20%

Correct option is B

Given:-

Selling price per kg claimed by the shopkeeper: Rs. 25
- Cost price of salt: Rs. 25 per kg
- The shopkeeper sells only 800 grams of salt for Rs. 25, removing 200 grams from each kg.

 Formula Used:

Gain Percentage=(GainCost Price of 800 gm)×100\text{Gain Percentage} = \left( \frac{\text{Gain}}{\text{Cost Price of 800 gm}} \right) \times 100​​​​
Where:
- Gain = Selling Price of 800 grams - Cost Price of 800 grams
- Cost Price of 800 grams = 8001000×Cost Price per kg\frac{800}{1000} \times \text{Cost Price per kg}

Solution:
1. Calculate the Cost Price of 800 grams:
Cost Price of 800 gm=8001000×25=20 Rs\text{Cost Price of 800 gm} = \frac{800}{1000} \times 25 = 20 \text{ Rs}
2. Determine the Gain:
Gain=Selling Price of 800 gmCost Price of 800 gm=2520=5 Rs\text{Gain} = \text{Selling Price of 800 gm} - \text{Cost Price of 800 gm} = 25 - 20 = 5 \text{ Rs}
3. Calculate the Gain Percentage:
Gain Percentage=(520)×100=25%\text{Gain Percentage} = \left( \frac{5}{20} \right) \times 100 = 25\%
Ans:25%

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