Subject

    Quantitative Aptitude

    Topic

    Profit & Loss

    Anna marks up the price of a toy car by 50% and then allows a discount of 20% and sells it to Bajaj. Bajaj sells it for Rs. 20 more than what he purchased for, this S.P is 30% more than the original C.P of the toy car. Then Bajaj’s profit % is:

    ক)
    9%
    খ)
    7.5%
    গ)
    6.66%
    ঘ)
    8.33%
    ঙ)
    9.25%

    Explanation

    Assume that cost price of toy car for Anna = Rs. C Anna marks up the price of the toy car by 50% ∴ The marked price = C + 50% of C = 1.5C Anna allows a discount of 20% and sells it to Bajaj. The amount Anna receives after providing discount = marked price – 20% of marked price = 1.5C – 20% of 1.5C = 1.2C ∴ Bajaj purchased it for Rs. 1.2C Bajaj sells it for Rs. 20 more than what he purchased for. Selling price of toy car for Bajaj = Rs. (1.2C + 20) This S.P is 30% more than the original C.P of the toy car. ⇒ 1.2C + 20 = C + 30% of C ⇒ 0.1C = 20 ⇒ C = Rs. 200 Now, Bajaj’s profit % is: %  profit=  selling  price  for  bajaj−cost  price  for  Bajajcost  price  for  Bajaj×100\% \;profit = \;\frac{{{\rm{selling\;price\;for\;bajaj}} - {\rm{cost\;price\;for\;Bajaj}}}}{{{\rm{cost\;price\;for\;Bajaj}}}} \times 100 ⇒%  profit=  (1.2C  +  20)−1.2C1.2C×100  =  8.33\Rightarrow \% \;profit = \;\frac{{\left( {1.2{\rm{C\;}} + {\rm{\;}}20} \right) - 1.2{\rm{C}}}}{{1.2{\rm{C}}}} \times 100\; = \;8.33   [Using C = Rs. 200]

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