Profit and Loss – Paper sheets and packing boxes: Jimmy buys paper sheets for Rs 7200, spends Rs 200 on transport, and pays Rs 600 for having 330 boxes made. He then sells all 330 boxes at Rs 28 each. Calculate his overall profit percentage on the entire transaction.

Difficulty: Medium

Correct Answer: 15.5%

Explanation:


Introduction / Context:
In profit and loss problems, total cost price (CP) includes every expense such as purchase cost, transport, and making charges. Total selling price (SP) equals quantity sold multiplied by selling price per unit. Profit percent is computed on CP.



Given Data / Assumptions:

  • Paper sheets cost = Rs 7200
  • Transport expense = Rs 200
  • Box making charges = Rs 600
  • Number of boxes = 330
  • Selling price per box = Rs 28


Concept / Approach:
Compute CP as the sum of all costs. Compute SP as units * unit price. Profit = SP - CP. Profit% = (Profit / CP) * 100.



Step-by-Step Solution:
CP = 7200 + 200 + 600 = 8000SP = 330 * 28 = 9240Profit = 9240 - 8000 = 1240Profit% = (1240 / 8000) * 100 = 15.5%



Verification / Alternative check:
Check arithmetic: 33 * 28 = 924; therefore 330 * 28 = 9240, consistent. CP components clearly sum to 8000.



Why Other Options Are Wrong:
40% and 60% are much larger than 1240/8000. 12% underestimates the ratio. “None” is incorrect because 15.5% matches computation.



Common Pitfalls:
Ignoring transport or making charges, or dividing by SP instead of CP.



Final Answer:
15.5%

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