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29 March, 22:08

David sold a bicycle at a profit of 10% had he sold it for rupees 150 more, the profit would have been 15%. find the cost price of the bicycle

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  1. 30 March, 01:53
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    The cost price was 3,000 rupees.

    Step-by-step explanation:

    A profit is an excess of the cost price you bought the bicycle at.

    The original cost price as a decimal = 1.0

    10% profit in excess of original cost as a decimal = 1 + 0.10 = 1.10

    15% profit in excess of original cost as a decimal = 1+0.15 = 1.15

    And if he sold the bicycle at 150rupees more, he makes 15% profit;

    The differential percentage = 15%-10% = 5% or 0.05

    If 5% = 150 rupees

    then 100% = (100*150) / 5

    = 15,000/5

    = 3,000 rupees

    To verify;

    At 15% profit it would be = 3000*1.15 = 3,450 rupees

    At 10% profit, it would be = 3000 * 1.10 = 3,300 rupees

    Difference = 3,450 - 3,300 = 150 rupees

    Therefore, the cost price was 3,000 rupees.
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