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A person buys some pen and pencil from the market at a rate such that a pencil is twice as costly as pen. He sells them such that the cost of pencil is thrice the cost of pen. By selling a pen at twice of its cost price, he makes 150 % profit on the whole. Find the ratio of pencils to pen.
  • a)
    1 : 2
  • b)
    4 : 5
  • c)
    3 : 4
  • d)
    7 : 4
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A person buys some pen and pencil from the market at a rate such that ...
Let's assume the cost of a pen as 'x' dollars.

According to the given information:
Cost of a pencil = 2x dollars
Selling price of a pen = 2 * x dollars
Selling price of a pencil = 3 * x dollars

Profit percentage on the whole = 150%
Profit percentage formula = (Profit / Cost Price) * 100

So, the profit made on selling a pen at twice its cost price = (Selling price of pen - Cost price of pen) / Cost price of pen * 100 = (2x - x) / x * 100 = x / x * 100 = 100%

Therefore, the cost price of a pen is equal to the selling price of a pencil.

Let's calculate the cost price of a pencil:
Profit percentage on the whole = (Profit / Cost Price) * 100
150% = (Profit / (2x + 3x)) * 100
1.5 = (Profit / 5x) * 100
Profit = 1.5 * 5x / 100 = 7.5x / 100 = 0.075x

Selling price of a pencil = Cost price of a pencil + Profit
3x = 2x + 0.075x
3x - 2x = 0.075x
x = 0.075x
x = 40

Therefore, the cost price of a pen is 40 dollars and the cost price of a pencil is 2 * 40 = 80 dollars.

Ratio of pencils to pens = Cost price of pencils : Cost price of pens
Ratio of pencils to pens = 80 : 40
Ratio of pencils to pens = 2 : 1

Hence, the ratio of pencils to pens is 2 : 1, which corresponds to option A.
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A person buys some pen and pencil from the market at a rate such that a pencil is twice as costly as pen. He sells them such that the cost of pencil is thrice the cost of pen. By selling a pen at twice of its cost price, he makes 150 % profit on the whole. Find the ratio of pencils to pen.a)1 : 2b)4 : 5c)3 : 4d)7 : 4Correct answer is option 'A'. Can you explain this answer?
Question Description
A person buys some pen and pencil from the market at a rate such that a pencil is twice as costly as pen. He sells them such that the cost of pencil is thrice the cost of pen. By selling a pen at twice of its cost price, he makes 150 % profit on the whole. Find the ratio of pencils to pen.a)1 : 2b)4 : 5c)3 : 4d)7 : 4Correct answer is option 'A'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A person buys some pen and pencil from the market at a rate such that a pencil is twice as costly as pen. He sells them such that the cost of pencil is thrice the cost of pen. By selling a pen at twice of its cost price, he makes 150 % profit on the whole. Find the ratio of pencils to pen.a)1 : 2b)4 : 5c)3 : 4d)7 : 4Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person buys some pen and pencil from the market at a rate such that a pencil is twice as costly as pen. He sells them such that the cost of pencil is thrice the cost of pen. By selling a pen at twice of its cost price, he makes 150 % profit on the whole. Find the ratio of pencils to pen.a)1 : 2b)4 : 5c)3 : 4d)7 : 4Correct answer is option 'A'. Can you explain this answer?.
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