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Bunuel
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On selling 630 pens, a shopkeeper makes a profit equal to the selling 17 Jun 2021, 09:00
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On selling 630 pens, a shopkeeper makes a profit equal to the selling price of 90 pens. Find the approximate profit percentage.

(A) 12.5%
(B) 14.28%
(C) 16.67%
(D) 20%
(E) 22.22%
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C
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dhawalsachdeva
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On selling 630 pens, a shopkeeper makes a profit equal to the selling 17 Jun 2021, 10:10
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Let price of each pen is x.

Then SP =630x
Profit = 90x
CP = SP - Profit = 540x

Therefore Profit percentage = 90x/540x × 100

= 16.67% (C)

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LaveenaPanchal
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On selling 630 pens, a shopkeeper makes a profit equal to the selling 17 Jun 2021, 09:13
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If selling price is x then profit = 90x/630x ×100 = 14.28%

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On selling 630 pens, a shopkeeper makes a profit equal to the selling 17 Jun 2021, 12:42
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Solution:

Let Selling Price of 1 pen be SP and Cost price of 1 pen be CP

Hence Selling Price of 630 pens = 630 SP and Cost price of 630 pens=630 CP

=>Profit = 630 SP -630 CP and this profit is equal to the Selling Price of 90 pens = 90SP

=> 90 SP = 630 SP -630 CP

=> 630 CP = 540 SP

=> CP /SP = 540/630---->CP corresponds to 540 and SP corresponds to 630

=> Profit% = 630-540/540 *100

=90/540*100

=1/6 *100 = 16.67% (option c)

Happy Studying :student_woman:

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On selling 630 pens, a shopkeeper makes a profit equal to the selling 17 Jun 2021, 22:23
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On selling 630 pens, a shopkeeper makes a profit equal to the selling price of 90 pens. Find the approximate profit percentage.

Cost price: 630 - 90 = 540 [If he sells 630 pens, he makes a profit of S.P. of 90 pens which means he has bought 630 - 90 pens]

Profit (%) = \(\frac{90 }{ 540} * 100 = \)16.67%

Answer C
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On selling 630 pens, a shopkeeper makes a profit equal to the selling 02 Sep 2024, 22:35
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Bunuel
On selling 630 pens, a shopkeeper makes a profit equal to the selling price of 90 pens. Find the approximate profit percentage.

(A) 12.5%
(B) 14.28%
(C) 16.67%
(D) 20%
(E) 22.22%
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­Assuming y as SP and x as CP
630y-630x = 90y
7y-7x=y
6y=7x
\(\frac{y}{x} = \frac{7}{6}\)
\(profit percentage = \frac{y-x}{x}*100 = \frac{100}{6}\)
Answer is C.­
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On selling 630 pens, a shopkeeper makes a profit equal to the selling 03 Sep 2024, 03:49
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Purnank Bunuel
Hello, I need help understanding why the profit percentage is calculated based on cost rather than revenue. I might have an issue grasping when to use which. In this question, I don't understand why the profit percentage is based on cost, not revenue, as this is my usual understanding of profit percentage.­
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On selling 630 pens, a shopkeeper makes a profit equal to the selling 03 Sep 2024, 04:55
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Cost of a pen = x
Profit =90x
SP= 630x

Profit = SP-CP
CP= 540x

Profit percentage = profit/CP x 100
90x/540x *100
=16.67

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On selling 630 pens, a shopkeeper makes a profit equal to the selling 03 Sep 2024, 04:58
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Sanskar115
Purnank Bunuel
Hello, I need help understanding why the profit percentage is calculated based on cost rather than revenue. I might have an issue grasping when to use which. In this question, I don't understand why the profit percentage is based on cost, not revenue, as this is my usual understanding of profit percentage.­
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Profit percentage = (profit/CP) *(100)

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On selling 630 pens, a shopkeeper makes a profit equal to the selling 03 Sep 2024, 08:04
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Purnank Bunuel
Hello, I need help understanding why the profit percentage is calculated based on cost rather than revenue. I might have an issue grasping when to use which. In this question, I don't understand why the profit percentage is based on cost, not revenue, as this is my usual understanding of profit percentage.­
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­
Profit percentage is usually based on cost because it shows how much profit is made relative to the investment.
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On selling 630 pens, a shopkeeper makes a profit equal to the selling 25 Sep 2025, 22:29
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Hi

You got the numerator right but..
It will be 90SP/540SP x 100 = 16.66%

We are calculating the CP by deducting the profit from SP of 630 pens. So, 630SP - 90SP = 540SP is the CP.
LaveenaPanchal
If selling price is x then profit = 90x/630x ×100 = 14.28%

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