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    By selling an article for Rs. 1,500, a man gains Rs. 150. At what price (in Rs. ) should he sell the article to gain 24%?
    Question

    By selling an article for Rs. 1,500, a man gains Rs. 150. At what price (in Rs. ) should he sell the article to gain 24%?

    A.

    1,560

    B.

    1,870

    C.

    1,493

    D.

    1,674

    Correct option is D

    Given:
    Selling Price (SP₁) = Rs. 1500
    Profit = Rs. 150
    Formula Used:
    Cost Price (CP) = SP - Profit
    New Selling Price (SP₂) = CP × (1 + Gain%)
    Solution:
    CP = 1500 - 150 = Rs. 1350
    To gain 24%,
    New SP=1350×(1+24100)=1350×1.24=Rs. 1674\text{New SP} = 1350 \times \left(1 + \frac{24}{100} \right) = 1350 \times 1.24 = \text{Rs. } 1674​​
    Therefore, he should sell the article at Rs. 1674 to gain 24%.

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