Math Problem Statement

answer

A person buys a pen from a wholesaler at Rs. 60 for 20 pens. He sells those pens at Rs. 50 for 20 pens. Find his loss percent.

Solution

To solve this problem:

Step 1: Cost Price (C.P.) per pen

The person buys 20 pens for Rs. 60. Therefore, the cost price per pen is: C.P.=6020=3Rs.C.P. = \frac{60}{20} = 3 \, \text{Rs.}

Step 2: Selling Price (S.P.) per pen

The person sells 20 pens for Rs. 50. Hence, the selling price per pen is: S.P.=5020=2.5Rs.S.P. = \frac{50}{20} = 2.5 \, \text{Rs.}

Step 3: Loss per pen

The loss per pen is: Loss=C.P.S.P.=32.5=0.5Rs.\text{Loss} = C.P. - S.P. = 3 - 2.5 = 0.5 \, \text{Rs.}

Step 4: Loss percentage

The loss percentage is calculated as: Loss %=(LossC.P.)×100=(0.53)×100=16.67%\text{Loss \%} = \left( \frac{\text{Loss}}{\text{C.P.}} \right) \times 100 = \left( \frac{0.5}{3} \right) \times 100 = 16.67 \%

Final Answer:

The loss percentage is 16.67%.

Let me know if you'd like a detailed breakdown of any step or have further questions!
Here are some related questions for practice:

  1. What would be the profit percentage if the pens were sold at Rs. 70 for 20 pens?
  2. Calculate the loss percentage if the pens were sold at Rs. 40 for 20 pens.
  3. What is the break-even selling price per pen?
  4. How does the loss percentage change if 25 pens were sold for Rs. 60?
  5. If the cost price of 30 pens is Rs. 90, how does this affect the loss percentage calculation?

Tip: Always calculate cost price and selling price per unit when dealing with bulk transactions!

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Math Problem Analysis

Mathematical Concepts

Cost Price
Selling Price
Profit and Loss
Percentage Calculation

Formulas

Cost Price (C.P.) per unit = Total Cost / Quantity
Selling Price (S.P.) per unit = Total Selling Price / Quantity
Loss = C.P. - S.P.
Loss Percentage = (Loss / C.P.) × 100

Theorems

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Suitable Grade Level

Grades 6-8