If the cost price of 100 pens is equal to the selling price of 75 pens, then the gain percent is

Given :

By selling 100 oranges, a vendor gains a profit equal to the selling price of 20 oranges. 

To do :

We have to find the gain percent.

Solution :

Let the selling price of 1 orange be $Rs.\ 1$.

This implies,

The selling price of 100 oranges $= Rs.\ 100 \times1=Rs.\ 100$

Selling price of 25 oranges $= Rs.\ 25 \times 1= Rs.\ 25$

This implies,

Gain $=Rs.\ 25$

Cost price of 100 oranges $=$ Selling price of 100 oranges $-$ Gain

$= Rs.\ (100 - 25)$

$= Rs.\ 75$

Therefore,

Gain percent $= \frac{Gain}{Cost\ price}\times100 \%$

$= \frac{25}{75}\times100 \%$

$= \frac{100}{3} \%$

$= 33.33 \%$

The gain percent is $33.33 \%$.

Solution

Let the cost price of one pen be ₹1. Then, CP of 20 pens = ₹20 and SP of 20 pens = ₹15 (∵ SP of 20 pens = CP of 15 pens) Therefore, CP is more than SP. So, Loss = CP − SP = ₹20 − ₹15 = ₹5Losspercent=LossCP×100 =520×100=25% Hence, the correct option is (a).

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If selling price of 75 articles is equal to cost price of 60 articles, then the approximate loss or gain percent is :

This question was previously asked in

SSC CGL 2020 Tier-I Official Paper 19 (Held On : 24 Aug 2021 Shift 1)

View all SSC CGL Papers >

  1. No profit no loss
  2. Loss of 30%
  3. Profit of 25%
  4. Loss of 20%

Answer (Detailed Solution Below)

Option 4 : Loss of 20%

Free

General Knowledge and Awareness Mock Test

10 Questions 10 Marks 10 Mins

Given:

the selling price of 75 articles is equal to the cost price of 60 articles

Formula used:

Loss = SP – CP

Loss% = Loss/CP × 100

Calculation:

Selling price of 75 articles is equal to the cost price of 60 articles

According to the question

75 SP = 60 CP

SP/CP = 4/5

SP : CP = 4 : 5

Suppose SP = 4 unit and CP = 5 unit

Loss = CP – SP = 5 – 4 = 1

Loss percentage = (1/5) × 100 = 20%

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If the cost price of 100 pens is equal to the selling price of 75 pens, then the gain percent is

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  • Percentage Exercise 7.1
  • Percentage Exercise 7.2
  • Percentage Exercise 7.3
  • Percentage Exercise 7.4

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  • Cubes and Cube Roots
  • Playing with Numbers
  • Operation on sets Venn Diagrams
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ML Aggarwal Solutions Class 8 Mathematics Solutions for Percentage Exercise 7.2 in Chapter 7 - Percentage

Question 10 Percentage Exercise 7.2

A shopkeeper buys a certain number of pens. If the selling price of 5 pens is equal to the cost price of 7

pens, find his profit or loss percentage

Answer:

Consider ₹ x as the C.P. of 7 pens

C.P. of 1 pen = ₹ x/7

Based on the question

S.P. of 5 pens = ₹ x

S.P. of 1 pen = ₹ x/5

Profit = S.P. – C.P.

Substituting the values

= x/7 – x/5

Taking LCM

= (7x – 5x)/ 35

= ₹ 2x/ 35

We know that

Profit % = Profit/C.P. × 100 %

Substituting the values

= 2x/ 35/ x/7 × 100 %

It can be written as

= 2x/35 × 7/x × 100 %

By further calculation

= 2/5 × 100 %

So we get

= 2 × 20 %

= 40 %

Video transcript

hello everybody welcome to lido learning channel my name is rajna chaudhary and we have to solve the question it is a shopkeeper buys a certain number of pens if the selling price of five pens is equal to the cost price of seven pens then find the profit or loss percent so uh we do not know either cost price or selling price so what we can do is we can let it but how to let is we will let the x as the cost price of seven pens right so we are letting cost price of seven price uh seven pence so let's let it let x is cp of seven pens now because x is the cost price of seven pens we can also find the cost price of one pen so cost price of one pen would be x upon now we also have to find selling price because cost price of seven pen is also equal to the selling price of five pen so x is also selling price of five pen so here i'm writing that selling price of five pen is also equal to x so selling price of one pen would be x upon five we are calculating the selling price and cost price of one pen because uh we we do not know the exactly number how many total pens were bought or sold so let's do it by calculating one now substituting the values and finding the profit uh so because why are we saying that it is profit because we can clearly say that cost price is greater than the selling price so that is a profit so let's find the profit so profit is selling price minus cost price that is x upon 7 minus x upon 5 after simplification we have 2 x upon 35 so this is the profit in rupees but we have to find profit percent so profit percent would be profit upon cp multiply by 100 now profit we know in rupees it is given that 2x upon 35 we have to put a hundred in the uh we have to put cost price in the denominator so cost price of a cost price of one pen that is x upon 7 multiplied by 100 and a percent sign after calculation we can write it like 2x upon 35 multiplied by 7 upon x x is cancelled out here 35 is also cancelled out by 7 5 times and we also have 100 and percent side now uh this 5 can cancel out this 100 it is 20 times now we are left with 2 and 20 in numerator so they would multiply together and we would get answer as 40 percent so here profit percent is 40. so i hope you understand this method how to calculate the profit person when any selling price of any item some item is equal to the cost price or some other i some other number of same items so see you in my next video don't forget to like share and subscribe channel thank you for watching

Was This helpful?

Is the cost price of 12 pens is equal to the selling price of 8 pens the gain percentage is?

∴ Gain %= (48×100)%=50%.

Is the selling price of 10 pens is the same as the cost price of 12 pens then gain percentage?

If the cost price of 12 pens is equal to selling price of 10 pens, what is the percentage of profit is: 16.67%

Is the cost price of 12 pens is equal to the selling price of 15 pencils then the loss percentage?

Hence, the loss percent is 20%.

What is the profit if the cost price of 16 V is equal to the selling price of 12 volts?

PROFIT % = PROFIT/CP x 100 = 1/3 X 100 = 33.33% Q.