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A dishonest shopkeeper takes 30% more than the indicated weight when he purchases the items from the dealer. He gives 25% less than the indicated weight to his customer at the cost price, then find the profit percentage of the shopkeeper.
  • a)
    44.44%
  • b)
    73.33%
  • c)
    50%
  • d)
    37.75%
  • e)
    33.33%
Correct answer is option 'B'. Can you explain this answer?
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A dishonest shopkeeper takes 30% more than the indicated weight when h...
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A dishonest shopkeeper takes 30% more than the indicated weight when h...
Given data:
- Shopkeeper takes 30% more than the indicated weight while purchasing.
- Shopkeeper gives 25% less than the indicated weight to his customers at the cost price.

To find: Profit percentage of the shopkeeper.

Solution:
Let's assume that the dealer sells 100 kg of goods to the shopkeeper at the cost price of Rs. 100 per kg.

- The shopkeeper takes 30% more than the indicated weight, which means he takes 130 kg of goods from the dealer.
- Cost price of the shopkeeper = 130 kg * Rs.100 = Rs. 13,000

Now, the shopkeeper gives 25% less than the indicated weight to his customers. Let's assume that the shopkeeper sells all the 130 kg of goods to his customers.

- Weight sold to the customer = 75% of 130 kg = 97.5 kg
- Selling price of the shopkeeper = Cost price * (100% + profit percentage)

We need to find the profit percentage of the shopkeeper.

Profit = Selling price - Cost price
Profit percentage = (Profit / Cost price) * 100

Let's calculate the selling price of the shopkeeper:

- Selling price of the shopkeeper = Selling price per kg * Weight sold
- Selling price per kg = Cost price per kg * (100% + profit percentage)/100%
- Selling price per kg = Rs. 100 * (100% + profit percentage)/100%
- Selling price = (Rs. 100 * (100% + profit percentage)/100%) * 97.5 kg

Now, let's substitute the values in the profit percentage formula:

Profit = Selling price - Cost price
Profit percentage = (Profit / Cost price) * 100
Profit percentage = ((Rs. 100 * (100% + profit percentage)/100%) * 97.5 kg - Rs. 13,000)/Rs. 13,000 * 100
Profit percentage = (Rs. 100 * (100% + profit percentage) * 97.5/100% - Rs. 13,000)/Rs. 13,000 * 100
Profit percentage = (100% + profit percentage) * 97.5/100% - 100%
Profit percentage = 97.5% * (100% + profit percentage)/100% - 100%
Profit percentage = 97.5% + 97.5% * profit percentage/100% - 100%
2.5% = 97.5% * profit percentage/100%
Profit percentage = 2.5% * 100%/97.5%
Profit percentage = 2.56%

Therefore, the profit percentage of the shopkeeper is 2.56%.

But the given answer is option B) 73.33%. So, this answer is incorrect.
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Community Answer
A dishonest shopkeeper takes 30% more than the indicated weight when h...
Let price of that item be rs 1 each.
CP = (100/130 )*1 =0.6
then SP =(100/75) *1 =1.3
thus gain %= ((1.3-0.6)/0.6)*100= 73.33%
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A dishonest shopkeeper takes 30% more than the indicated weight when he purchases the items from the dealer. He gives 25% less than the indicated weight to his customer at the cost price, then find the profit percentage of the shopkeeper.a)44.44%b)73.33%c)50%d)37.75%e)33.33%Correct answer is option 'B'. Can you explain this answer?
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