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Examveda

By selling a bicycle for Rs. 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price will be:

A. Rs. 2600

B. Rs. 2700

C. Rs. 2800

D. Rs. 3000

Answer: Option B

Solution(By Examveda Team)

Let Cost Price was X.
X + 14% of X = 2850
X + $$\frac{{14{\text{X}}}}{{100}}$$ = 2850
X + 0.14X = 2850
1.14X = 2850
X = 2500.
So, Cost Price = Rs. 2500.
Now, Selling Price When profit remains at 8%,
= 2500 + 8% of 2500
= Rs. 2700.

Short-Cut
CP of bicycle = $$\frac{{100}}{{114}}$$ × 2850 = Rs. 2500
SP for a profit of 8% = $$\frac{{108}}{{100}}$$ × 2500 = Rs. 2700

This Question Belongs to Arithmetic Ability >> Profit And Loss

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Comments ( 13 )

  1. ABDUL KADIR
    ABDUL KADIR :
    1 year ago

    CP= 100/(100+GAIN) × SP

  2. ABDUL KADIR
    ABDUL KADIR :
    1 year ago

    CP= 100/(100+GAIN) × SP

  3. Anilendhu A
    Anilendhu A :
    2 years ago

    Given that
    Selling price = 2850
    At that time shopkeeper got 14% gain
    Assume
    Cost price = 100
    Selling price = 100+14=114
    Given that the profit is reduced to 8%
    14% profit change to 8%
    Selling price =100+8 =108
    Given 114 -> 2850
    108 -> (2850÷114)×108 =2700




  4. Prakash Thapa
    Prakash Thapa :
    3 years ago

    SP=(2850/114)X108
    SP=2700

  5. Sampa Sharma
    Sampa Sharma :
    3 years ago

    Profit is reduced.. But it can't show that way why? It is show in increased position..

  6. Yasomati Mahato
    Yasomati Mahato :
    4 years ago

    114 percent = 2850 so, 100 percentage =2500
    1percentage =25
    8 percentage =200
    So, 2500 +200=2700rupees

  7. Subhojit Datta
    Subhojit Datta :
    5 years ago

    c.p=100/(100+14)*2850=2500
    if he want to profit 8% on 2500
    then s.p=(108/100)*2500=2700

  8. Nasir Khan
    Nasir Khan :
    5 years ago

    ,☺☺☺☺☺

  9. Tahera Parveen
    Tahera Parveen :
    5 years ago

    Salim makes a profit of 15% by selling a cycle at Rs 4140. At what price should he sell it to make a profit of 18% ?
    Dimaag h to y answer 10 mins m kar k bataao

  10. Gary Pandat
    Gary Pandat :
    6 years ago

    we have
    114% =2850
    1%=1/2850
    108%=(1/2850)*108=2700

  11. Babu Khan
    Babu Khan :
    6 years ago

    plz review the answer this question.answer not fit according to question's instructions.

  12. Krishna
    Krishna :
    6 years ago

    A very good question indeed... :-)

  13. Akanksha
    Akanksha :
    8 years ago

    how you have do it

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