Nandan bought some pencils at the rate of Rs 20 per pencil . He also bought an equal number of erasers at the rate of Rs 4 per eraser . He m

Question

Nandan bought some pencils at the rate of Rs 20 per pencil . He also bought an equal number of erasers at the rate of Rs 4 per eraser . He made 40 % profit on pencils and 50 % profit on erasers . At the end of the day, all the pencils and erasers were sold out and he made a profit of Rs 470 . Find the number of pencils he purchased.

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RobertKer 7 months 2021-08-09T07:50:00+00:00 1 Answers 2 views 0

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    2021-08-09T07:51:07+00:00

    Answer:

    47 pencil

    Step-by-step explanation:

    Let x represent the number of pencils that were bought. Since equal number of erasers where also purchased, hence x erasers were purchased.

    Cost of pencils = Rs 20 per pencil * x pencils = 20x

    Cost of erasers = Rs 4 per eraser * x eraser = 4x

    40% profit was made on pencils, hence:

    Profit on pencils = 40% of cost price = 0.4 * 20x = 8x

    50% profit was made on erasers, hence:

    Profit on eraser = 50% of cost price = 0.5 * 4x = 2x

    Since the total profit from pencil and eraser was Rs 470, hence:

    8x + 2x = 470

    10x = 470

    x = 47

    Therefore he purchased 47 pencil

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