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    Atulit buys an old bicycle for ₹4,000 and spends ₹400 towards its repairs. If he sells the bicycle for ₹5,000 his percentage gains is :
    Question

    Atulit buys an old bicycle for ₹4,000 and spends ₹400 towards its repairs. If he sells the bicycle for ₹5,000 his percentage gains is :

    A.

    713117\frac{13}{11}%%​

    B.

    713127\frac{13}{12}%%​

    C.

    1311113\frac{1}{11}%%​

    D.

    1371113\frac{7}{11}%%

    Correct option is D

    Given:

    C.P of bicycle = 4,000

    He spends Rs. 400 towards its repairs.

    S.P of bicycle = 5,000

    Formula used:

    Profit% = ​[(S.PC.P)C.P×100\frac{[(S.P−C.P)}{C.P}× 100

    Solution:

    Total C.P = 4000 + 400 = Rs. 4400

    P%=[(50004400)4400×100P\% = \frac{[(5000−4400)}{4400}× 100​​

    =>P%=6004400×100=> P\% = \frac{600}{4400} × 100​​
    P%=0.13636×100=13.636 or 13711%P\% = 0.13636 \times 100 = 13.636 \ \text{or} \ 13 \frac{7}{11}\%

    Hence, option (d) is correct answer.


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