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The price of a pen and a pencil is Rs. 35. The pen was sold at a 20% profit and the pencil at a 10% loss. If in the transaction a man gains Rs. 4, how much is cost price of the pen?
- a)Rs. 10
- b)Rs. 25
- c)Rs. 20
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The price of a pen and a pencil is Rs. 35. The pen was sold at a 20% p...
Solve using options as that would be the best way to tackle this question. Option (b) fits the situation perfectly as if we take the price of the pen as Rs. 25, the cost of the pencil would be Rs. 10. The profit in selling the pen would be Rs.5 while the loss in selling the pencil would be Rs. 1. The total profit would be Rs. 4 as stipulated by the problem.
Most Upvoted Answer
The price of a pen and a pencil is Rs. 35. The pen was sold at a 20% p...
Let take the pen price is x and pencil price is y
then a.q. x+y=35
1.2x+0.9y=39 so we find x=25 ansr.
then a.q. x+y=35
1.2x+0.9y=39 so we find x=25 ansr.
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The price of a pen and a pencil is Rs. 35. The pen was sold at a 20% p...
Given information:
Price of a pen and a pencil = Rs. 35
Pen was sold at 20% profit
Pencil was sold at 10% loss
Man gains Rs. 4
To find: Cost price of the pen
Let the cost price of the pen be x.
Cost price of the pencil = (35 - x)
The pen was sold at a 20% profit, so the selling price of the pen = (120/100) * x = 1.2x
The pencil was sold at a 10% loss, so the selling price of the pencil = (90/100) * (35 - x) = 31.5 - 0.9x
The total selling price = selling price of pen + selling price of pencil = 1.2x + 31.5 - 0.9x = 31.5 + 0.3x
The man gains Rs. 4, so the total selling price is (cost price + 4)
Therefore,
31.5 + 0.3x = x + 4
0.7x = 27.5
x = 27.5/0.7 = Rs. 39.28
Hence, the cost price of the pen is Rs. 25 (Option B).
Price of a pen and a pencil = Rs. 35
Pen was sold at 20% profit
Pencil was sold at 10% loss
Man gains Rs. 4
To find: Cost price of the pen
Let the cost price of the pen be x.
Cost price of the pencil = (35 - x)
The pen was sold at a 20% profit, so the selling price of the pen = (120/100) * x = 1.2x
The pencil was sold at a 10% loss, so the selling price of the pencil = (90/100) * (35 - x) = 31.5 - 0.9x
The total selling price = selling price of pen + selling price of pencil = 1.2x + 31.5 - 0.9x = 31.5 + 0.3x
The man gains Rs. 4, so the total selling price is (cost price + 4)
Therefore,
31.5 + 0.3x = x + 4
0.7x = 27.5
x = 27.5/0.7 = Rs. 39.28
Hence, the cost price of the pen is Rs. 25 (Option B).
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The price of a pen and a pencil is Rs. 35. The pen was sold at a 20% profit and the pencil at a 10% loss. If in the transaction a man gains Rs. 4, how much is cost price of the pen?a)Rs. 10b)Rs. 25c)Rs. 20d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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