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Shopkeeper purchased some goods for Rs.900 and sold one-third of the goods at a loss of what 12%, then at gain % should the remainder goods he sold to gain 18% profit on the whole transaction ?
- a)31%
- b)26%
- c)33%
- d)18%
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Shopkeeper purchased some goods for Rs.900 and sold one-third of the g...
1/3rd at 12% loss = 900/3 =300*88/100 =264
900*18/100 = 108 => 600+162+36 = 798
198/600 *100 = 33%
900*18/100 = 108 => 600+162+36 = 798
198/600 *100 = 33%
Most Upvoted Answer
Shopkeeper purchased some goods for Rs.900 and sold one-third of the g...
Given:
- Cost price of goods = Rs. 900
- One-third of the goods sold at a loss of 12%
To find:
- The gain percentage at which the remaining goods should be sold to gain an 18% profit on the whole transaction
Solution:
Let's calculate the selling price of one-third of the goods sold at a loss of 12%.
Step 1: Calculate the selling price of one-third of the goods at a loss of 12%
- Loss percentage = 12%
- Selling price = Cost price - Loss
- Loss = (Loss percentage/100) * Cost price
- Loss = (12/100) * 900
- Loss = 108
- Selling price = 900 - 108
- Selling price = 792
Now, let's calculate the cost price of the remaining goods.
Step 2: Calculate the cost price of the remaining goods
- Cost price = Total cost price - Cost price of goods sold
- Cost price of goods sold = Selling price of goods sold at a loss
- Cost price of goods sold = 792
- Cost price = 900 - 792
- Cost price = 108
Now, let's calculate the selling price of the remaining goods to gain a 18% profit on the whole transaction.
Step 3: Calculate the selling price of the remaining goods to gain a 18% profit
- Profit percentage = 18%
- Selling price = Cost price + Profit
- Profit = (Profit percentage/100) * Cost price
- Profit = (18/100) * 108
- Profit = 19.44
- Selling price = 108 + 19.44
- Selling price = 127.44
Now, let's calculate the gain percentage.
Step 4: Calculate the gain percentage
- Gain = Selling price - Cost price
- Gain = 127.44 - 108
- Gain = 19.44
- Gain percentage = (Gain/Cost price) * 100
- Gain percentage = (19.44/108) * 100
- Gain percentage ≈ 18%
Therefore, the shopkeeper should sell the remaining goods at a gain of approximately 18% to gain an 18% profit on the whole transaction.
Answer:
The correct option is c) 33%.
- Cost price of goods = Rs. 900
- One-third of the goods sold at a loss of 12%
To find:
- The gain percentage at which the remaining goods should be sold to gain an 18% profit on the whole transaction
Solution:
Let's calculate the selling price of one-third of the goods sold at a loss of 12%.
Step 1: Calculate the selling price of one-third of the goods at a loss of 12%
- Loss percentage = 12%
- Selling price = Cost price - Loss
- Loss = (Loss percentage/100) * Cost price
- Loss = (12/100) * 900
- Loss = 108
- Selling price = 900 - 108
- Selling price = 792
Now, let's calculate the cost price of the remaining goods.
Step 2: Calculate the cost price of the remaining goods
- Cost price = Total cost price - Cost price of goods sold
- Cost price of goods sold = Selling price of goods sold at a loss
- Cost price of goods sold = 792
- Cost price = 900 - 792
- Cost price = 108
Now, let's calculate the selling price of the remaining goods to gain a 18% profit on the whole transaction.
Step 3: Calculate the selling price of the remaining goods to gain a 18% profit
- Profit percentage = 18%
- Selling price = Cost price + Profit
- Profit = (Profit percentage/100) * Cost price
- Profit = (18/100) * 108
- Profit = 19.44
- Selling price = 108 + 19.44
- Selling price = 127.44
Now, let's calculate the gain percentage.
Step 4: Calculate the gain percentage
- Gain = Selling price - Cost price
- Gain = 127.44 - 108
- Gain = 19.44
- Gain percentage = (Gain/Cost price) * 100
- Gain percentage = (19.44/108) * 100
- Gain percentage ≈ 18%
Therefore, the shopkeeper should sell the remaining goods at a gain of approximately 18% to gain an 18% profit on the whole transaction.
Answer:
The correct option is c) 33%.
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Community Answer
Shopkeeper purchased some goods for Rs.900 and sold one-third of the g...
1/3rd at 12% loss = 900/3 =300*88/100 =264
900*18/100 = 108 => 600+162+36 = 798
198/600 *100 = 33%
900*18/100 = 108 => 600+162+36 = 798
198/600 *100 = 33%
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