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Question Detail


  • 12%

  • 30%

  • 50%

  • 60%

Answer: Option C




  • Question Detail

  • 1. A material is purchased for Rs. 600. If one fourth of the material is sold at a loss of 20% and the remaining at a gain of 10%, Find out the overall gain or loss percentage

  • 2. A man gains 20% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be.

  • 3. A man buys an article for Rs. 27.50 and sells it for Rs 28.60. Find his gain percent

  • 4. A fruit seller sells mangoes at the rate of Rs.9 per kg and thereby loses 20%. At what price per kg, he should have sold them to make a profit of 5%

  • 5. A person incurs a loss of 5% be selling a watch for Rs. 1140. At what price should the watch be sold to earn 5% profit.

  • If the cost price of 12 pencils is equal to the selling price of 10 pencils, then what is the gain percentage?

  • Answer (Detailed Solution Below)

  • Post your Question

  • Post your Answer (Best answer will be rewarded with handsome gifts)

  • What will be the profit if man sold 12 pens for the CP of 15 pens?

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

  • What is the cost of 15 pens?

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

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

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

  • What is the profit percentage if 12 bananas are sold at the cost price of 28 bananas?

  • How do you find selling price when price and gain percentage is given?


Explanation:



Friends, we know we will need gain amount to get gain percent, right. So lets get gain first.


Let the cost price of 1 pen is Re 1
Cost of 8 pens = Rs 8
Selling price of 8 pens = 12
Gain = 12

– 8 = 4


beginaligned
Gain% = left( fracGainCost * 100 right)% \
= left( frac48 * 100 right)% = 50%
endaligned


Similar Questions :



1. A material is purchased for Rs. 600. If one fourth of the material is sold at a loss of 20% and the remaining at a gain of 10%, Find out the overall gain or loss percentage


  • beginaligned 4frac12 endaligned

  • beginaligned 3frac12 endaligned

  • beginaligned 2frac12 endaligned

  • beginaligned 1frac12 endaligned

Answer: Option C


Explanation:



We need to get the Total selling price to solve this question. Because after getting selling price

we can get profit or loss, then we can calculate profit% or loss%


So lets solve this:


Price Received by selling one fourth of the material at a loss of 20% =
(1/4) * 600 * (80/100) = Rs. 120


Price Received by remaining material at a gain of 10% =
(3/4) * 600 * (110/100) = Rs. 495 [Note: 1-(1/4) = 3/4]


Total Selling Price = 120 + 465 = Rs. 615


Profit = 615 – 600 = 15


beginaligned
Profit% = left( fracGainCost * 100 right)% \

= left( frac15600 * 100 right)% \
= frac52% = 2frac12%
endaligned



2. A man gains 20% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be.


  • 130%

  • 140%

  • 150%

  • 160%

Answer: Option B


Explanation:



Let the C.P. = x,
Then S.P. = (120/100)x = 6x/5
New S.P. = 2(6x/5) = 12x/5


Profit = 12x/5 – x = 7x/5


Profit% = (Profit/C.P.) * 100
=> (7x/5) * (1/x) * 100 = 140 %



3. A man buys an article for Rs. 27.50 and sells it for Rs 28.60. Find his gain percent


  • 1%

  • 2%

  • 3%

  • 4%

Answer:
Option D


Explanation:



So we have C.P. = 27.50
S.P. = 28.60


Gain = 28.60 – 27.50 = Rs. 1.10


beginaligned
Gain% = left( fracGainCost * 100 right)% \
= left( frac1.1027.50 * 100 right)% = 4%
endaligned



4. A fruit seller sells mangoes at the rate of Rs.9 per kg and thereby loses 20%. At what price per kg, he should have sold them to make a profit of 5%


  • Rs 8.81

  • Rs 9.81

  • Rs 10.81

  • Rs 11.81

Answer: Option D


Explanation:


85 : 9 = 105 : x
x= (9×105/85)
= Rs 11.81



5. A person incurs a loss of 5% be selling a watch for Rs. 1140. At what price should the watch be sold to earn 5% profit.


  • Rs.1200

  • Rs.1230

  • Rs.1260

  • Rs.1290

Answer: Option C


Explanation:



Let the new S.P. be x, then.
(100 – loss%):(1st S.P.) = (100 + gain%):(2nd S.P.)


beginaligned
=>left( frac951140 = frac105x right) \


=> x = 1260
endaligned


Read more from – Profit and Loss Questions Answers




If the cost price of 12 pencils is equal to the selling price of 10 pencils, then what is the gain percentage?


  1. 20%

  2. 25%

  3. 18%

  4. (162 over 3)%

Nội dung chính


  • If the cost price of 12 pencils is equal to the selling price of 10 pencils, then what is the gain percentage?

  • Answer (Detailed Solution Below)

  • Post your Question

  • Post your Answer (Best answer will be rewarded with handsome gifts)

  • What will be the profit if man sold 12 pens for the CP of 15 pens?

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

  • What is the cost of 15 pens?

  • What is the profit if the cost price of 16 V is equal to

    the selling price of 12 volts?

Answer (Detailed Solution Below)


Option 1 : 20%


Free


15 Questions 15 Marks 9 Mins


Given:


Cost price of 12 pencil = selling price of 10 pencil


Calculation:


Let selling price be SP and cost price be CP of one pencil.


CP × 12 = SP × 10


SP/CP = 12/10 = 6/5


SP – CP = P


So, P/CP = (6 – 5)/5 = 1/5


Profit percentage = P/CP × 100 = (1/5) × 100 = 20%.


∴ The gain percentage is 20%.


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Given: Selling price of 12 pens is

equal to the cost price of 15 pens.


To find: Here we have to find the gain percentage.


Solution:


Let the cost price of 15 pens = a


So,


$Selling price of 12 pens = a$


$Selling price of 1 pen = fraca12$


$Selling price of 15 pens = frac15a12$




Now,


$Profit = SP of 15 pens – CP of 15 pens$


$Profit = frac15a12 – a$


$Profit = frac15a – 12a12$


$Profit = frac3a12$


$Profit

= fraca4$


Therefore profit % is as below,


$Profit % = fracProfitCP times 100 %$


$Profit % = fracfraca4a times 100 %$


$Profit % = frac14 times 100 %$


$mathbfProfit % = 25 %$


So, the answer is 25%.


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Question


The

selling price of 12 pens is equal to the cost price of 15 pens . find the gain percent.


Posted by: rishu priyadarshi in OlympiadRMO+INMO+IMO 1 decade ago, Total Answer(s): 5


Answer(s)


Let the CP of each pen be Rs.x.


Then,


CP of 12 pens=Rs.12


SP of 12 pens=CP of 15 pnes=Rs.15


now,gain=SP-CP=Rs.(15-12)=Rs.3


gain%=gain/cp*100


         =(3/12*100)%=25%


Hence,the

gain=25%.


By: arishta jain, 1 decade ago


Let the C.P of 1 pen be Rs.1


Therefore,


The C.P of 15 pens = Rs. 15


Given,


C.P of 15 pens= S.P of 12 pens.


So, S.P of 12 pens = Rs.15


Selling Price of 1 pen = Rs. 1.25


Gain= Rs. 0.25


Gain percent= Gain x 100/C.P %


  = 0.25 x 100/1 %


  =25/1 %


  = 25 %


Therefore, the gain percent is 25%




Hope

You understood it… 🙂


By: Sriram Vudayagiri, 1 decade ago


12SP=15CP


SP/CP= 15/12


15-12=3


3/12*100=25%


By: RAHUL KUMAR, 3 years ago


12SP=15CP


SP/CP= 15/12


15-12=3


3/12*100=25%


By: RAHUL KUMAR, 3 years ago


SP OF 12 PENS =CP OF 15 PENS 


SP OF 1 PENS =   R. 1


SP OF 12 PENS=  R. 12


SP OF 15 PENS = R. 15


CP OF 15 PENS =R. 12


NOW, SP >CP 


SO, GAIN = SP -CP


 

               =R. 15 – R. 12 =R. 3


GAIN % = GAIN  *100. =3/12  *100 =25%


                   CP


Answer=25%


By: RAHUL KUMAR, 3 years ago


Post your Answer (Best answer will be rewarded with handsome gifts)


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Hi Friends, the

solution given by Shruti is good.


But I thought to try a new. Let us see whether you are comfortable or not. Dont mind.


Given that “cp of 12 pens = sp of 15 pens”


==> cp of 1 pen = sp of 15 pens / 12


==> cp of 1 pen = sp of 5/4 pens


==> cp of 1 pen = sp of 1 pen + sp of (1/4th part of the pen)


==> the sp of 1 pen is less than cp of 1 pen by “sp of 1/4th part of pen” ( which is loss on one pen, since SP<CP)


That implies, Loss % = [sp

of 1/4 pens] / [cp of 1 pen] * 100


= [sp of 1/4 pens] / [ sp of 5/4 pens] * 100


= 1/4 divided by 5/4 * 100


= 1/4 * 4/5 * 100 = 20 %


What will be the profit if man sold 12 pens for the CP of 15 pens?


Given: Selling price of 12 pens is equal to the cost price of 15 pens. To find: Here we have to find the gain percentage. So, the answer is 25%.


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%


What is the cost of 15 pens?


Given the cost of 15 pens is Rs. 148.50. This means that the total cost

of 15 pens is Rs. 148.50.


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..




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 percentage if 12 bananas are sold at the cost price of 28 bananas?


Detailed Solution. ∴ The profit% of the shopkeeper is 25%.

How do you find selling price when price and gain percentage is given?


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 )

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