What is the profit percentage if the cost price of 25 pens is equal to selling price of 20 pens?

  1. 25%
  2. 30%
  3. 41.15%
  4. 33.3%

Answer (Detailed Solution Below)

Option 4 : 33.3%

Given:

The cost price of 20 pens is equal to the selling price of 15 pens

Formula used:

Gain = selling price – cost price

Gain % = (Gain × 100)/C.P

Calculation:

Let cost price be 1 pen is Rs. x

Then, the cost price of 15 pens = Rs. 15x

The selling price of 15 pens = Rs. 20x

According to the question:

Gain = 20x – 15x = 5x

Gain % = (5x × 100)/15x

⇒ 100/3 = 33.3%

∴ The gain percent is 33.3%.

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A) 20%

B) 25%

C) 15%

D) 5%

Correct Answer:

B) 25%

Description for Correct answer:
CP of 25 pen = S.P of 20 pen

\( \Large \frac{CP}{SP}=\frac{20}{25}=\frac{4}{5}> \)1 = profit

profit % \( \Large =\frac{1}{4} \times 100 = 25\% \)

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A. 20%

B. 25%

C. 15%

D. 5%

Solution(By Examveda Team)

CP of 25 pens = SP 20 pens
$$\frac{{{\text{CP}}}}{{{\text{SP}}}} = \frac{{20}}{{25}} = \left. {\frac{4}{5}} \right)1 = {\text{Profit}}$$
$$\eqalign{ & {\text{Profit }}\% = \frac{1}{4} \times 100 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 25\% \cr} $$

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Aptitude miscellaneous

  1. If the cost price of 25 pens is equal to the selling price of 20 pens, then the profit per cent is

    1. 20%
    2. 25%
    3. 15%
    4. 5%

Correct Option: B

Let the C.P. of each pen be Re. 1.
∴ C.P. of 20 pens = Rs. 20
∴ S.P. of 20 pens = Rs. 25
Profit = S.P. of 20 pens - C.P. of 20 pens = 25 - 20 = Rs. 5

∴ Profit percent = Profit × 100
C.P. of 20 pens

Profit percent = 500 = 25%
20

What is the profit percentage if the cost price of 25 pens is equal to selling price of 20 pens?


Your comments will be displayed only after manual approval.

How do you find the profit of a 25 on the selling price?

Detailed Solution.
Given. Profit % on selling price is 25%.
Concept used. Profit % = (Profit / CP) × 100. Profit = SP – CP..
Calculation. Let SP be 100x. So, Profit = 25x, As we know, Profit = SP – CP, CP = SP – Profit. CP = 100x - 25x. CP = 75x. Profit% = (25/75) × 100. Profit % = 33.33% Download Soln PDF. Share on Whatsapp..

How do you calculate 20% profit on a selling price?

Detailed Solution.
Given: Profit percentage = 20% (On selling price).
Concept : Profit = Selling Price (SP) – Cost Price (CP) ... .
Calculation: Let selling price = Rs.100. ... .
∴ The actual percentage profit is 25%..
Let the CP be x. Let the SP be y. ... .
∴ Actual Profit = [1.25 – 1] × 100 = 25%.
Mistake Points..

How do you calculate profit price when selling percentage?

Cost price = Selling price − profit ( when selling price and profit is given ) Cost price = Selling price + loss ( when selling price and loss is given ) Cost price =100×Selling Price100+Profit%( when selling price and profit % is given )