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A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 950gm. for a kg.His gain is
- a)5.26%
- b)6.25%
- c)7.26%
- d)none
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A dishonest shopkeeper professes to sell pulses at the cost price, but...
His percentage gain is 100 × (50/950) as he is gaining 50 units for his purchase of 950 units.so 5.26%.
Most Upvoted Answer
A dishonest shopkeeper professes to sell pulses at the cost price, but...
To solve this problem, we need to understand the concept of cost price, selling price, and profit.
Cost Price (CP): The price at which an item is purchased by the shopkeeper.
Selling Price (SP): The price at which an item is sold by the shopkeeper.
Profit (P): The difference between the selling price and the cost price.
In this case, the dishonest shopkeeper claims to sell pulses at the cost price, but he actually uses a false weight of 950gm for a kilogram. Let's calculate his gain using the following steps:
Step 1: Calculate the actual cost price per kilogram (CP_actual) using the false weight.
CP_actual = (CP of 950gm) / 0.95
Step 2: Calculate the selling price per kilogram (SP) using the actual cost price per kilogram.
SP = CP_actual
Step 3: Calculate the profit percentage (P%) using the formula:
P% = ((SP - CP_actual) / CP_actual) * 100
Now, let's substitute the values and calculate the gain:
Assuming the cost price of 1 kilogram of pulses is 'x' rupees.
Step 1:
CP_actual = (x / 0.95) rupees per kilogram
Step 2:
SP = CP_actual = (x / 0.95) rupees per kilogram
Step 3:
P% = ((SP - CP_actual) / CP_actual) * 100
= ((x / 0.95) - (x / 0.95)) / (x / 0.95) * 100
= 0 / (x / 0.95) * 100
= 0
Therefore, the dishonest shopkeeper does not make any profit. The gain is 0%.
The correct answer is option 'D' (none).
Cost Price (CP): The price at which an item is purchased by the shopkeeper.
Selling Price (SP): The price at which an item is sold by the shopkeeper.
Profit (P): The difference between the selling price and the cost price.
In this case, the dishonest shopkeeper claims to sell pulses at the cost price, but he actually uses a false weight of 950gm for a kilogram. Let's calculate his gain using the following steps:
Step 1: Calculate the actual cost price per kilogram (CP_actual) using the false weight.
CP_actual = (CP of 950gm) / 0.95
Step 2: Calculate the selling price per kilogram (SP) using the actual cost price per kilogram.
SP = CP_actual
Step 3: Calculate the profit percentage (P%) using the formula:
P% = ((SP - CP_actual) / CP_actual) * 100
Now, let's substitute the values and calculate the gain:
Assuming the cost price of 1 kilogram of pulses is 'x' rupees.
Step 1:
CP_actual = (x / 0.95) rupees per kilogram
Step 2:
SP = CP_actual = (x / 0.95) rupees per kilogram
Step 3:
P% = ((SP - CP_actual) / CP_actual) * 100
= ((x / 0.95) - (x / 0.95)) / (x / 0.95) * 100
= 0 / (x / 0.95) * 100
= 0
Therefore, the dishonest shopkeeper does not make any profit. The gain is 0%.
The correct answer is option 'D' (none).
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A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 950gm. for a kg.His gain isa)5.26%b)6.25%c)7.26%d)noneCorrect answer is option 'A'. Can you explain this answer?
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