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.
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%