A shopkeeper has 100 kg of wheat flour which he sells in packets of 5 ...
Solution: When the shopkeeper sells for the 4th time, he has replaced flour by husk 3 times.
If the cost price per kg is Re. 1, then in the 4th transaction,
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A shopkeeper has 100 kg of wheat flour which he sells in packets of 5 ...
STOCK. SOLD TO CUSTOMER
100 kg flour ~ 5 kg flour to 1st customer
95kg flour + 5kg husk ~ 4.75kg flour + 0.25kg husk to 2nd customer.
90.25kg flour + 9.75kg husk ~ 4.5125kg flour + 0.4875kg husk to 3rd customer.
85.7375kg flour + 14.2625kg husk ~ 4.286875kg flour + 0.713125kg husk to 4th customer
Profit made to 4th customer =( 0.713125/4.286875)*100
A shopkeeper has 100 kg of wheat flour which he sells in packets of 5 ...
Given:
- The shopkeeper has 100 kg of wheat flour.
- He sells the flour in packets of 5 kg at cost price.
- After selling one packet, he adds an equal amount of husk to the leftover flour.
To find:
- The percentage profit the shopkeeper earns on the packet sold to the 4th customer.
Solution:
Step 1: Calculate the selling price of one packet of wheat flour:
The shopkeeper sells one packet of wheat flour at cost price, so the selling price of one packet is the same as the cost price.
Step 2: Calculate the cost price of one packet of wheat flour:
Since the shopkeeper has 100 kg of wheat flour and he sells it in packets of 5 kg, he has a total of 100/5 = 20 packets.
Therefore, the cost price of one packet of wheat flour is 100/20 = 5 kg.
Step 3: Calculate the amount of husk added to the leftover flour after each sale:
After each sale, the shopkeeper adds an equal amount of husk to the leftover flour.
Since the shopkeeper sells one packet of wheat flour at a time, after each sale, he is left with 100 - 5 = 95 kg of flour.
Therefore, the amount of husk added to the leftover flour after each sale is 5 kg.
Step 4: Calculate the total weight of flour and husk after selling to the 4th customer:
After selling to the 4th customer, the shopkeeper has sold a total of 4 * 5 = 20 kg of flour.
Therefore, the weight of leftover flour is 100 - 20 = 80 kg.
Since the shopkeeper adds 5 kg of husk to the leftover flour after each sale, the weight of husk added to the leftover flour after selling to the 4th customer is 4 * 5 = 20 kg.
Therefore, the total weight of flour and husk after selling to the 4th customer is 80 + 20 = 100 kg.
Step 5: Calculate the profit percentage:
The shopkeeper sells one packet of wheat flour at cost price, so the profit made on one packet is 0.
The cost price of one packet of wheat flour is 5 kg, and the selling price of one packet is also 5 kg.
Therefore, the profit made on one packet is 5 - 5 = 0 kg.
Since the shopkeeper sells a total of 4 packets to the 4th customer, the total profit made is 4 * 0 = 0 kg.
The profit percentage is given by the formula: (Profit / Cost Price) * 100.
Substituting the values, we get: (0 / 20) * 100 = 0%.
Therefore, the shopkeeper earns a 0% profit on the packet sold to the 4th customer.
So, the correct answer is option C) 0%.