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    A reduction of 20% in the price of wheat enables a housewife to obtain 4 kgs more for ₹ 1200, what is the reduced price per kg (in ₹)?
    Question

    A reduction of 20% in the price of wheat enables a housewife to obtain 4 kgs more for ₹ 1200, what is the reduced price per kg (in ₹)?

    A.

    40

    B.

    60

    C.

    75

    D.

    50

    Correct option is B

    Given:

    Reduction in price = 20%

    Amount spent = ₹1200

    Solution:

    Extra quantity obtained = 4 kg

    Let the original price be ₹x per kg.

    Reduced price = 80% of x = 0.8x

    Extra quantity 

    12000.8x1200x=4 =>1500x1200x=4 =>15001200x=4 =>300x=4 =>x=3004=75\begin{aligned}&\frac{1200}{0.8x} - \frac{1200}{x} = 4 \\\ \\&\Rightarrow \frac{1500}{x} - \frac{1200}{x} = 4 \\\ \\&\Rightarrow \frac{1500 - 1200}{x} = 4 \\\ \\&\Rightarrow \frac{300}{x} = 4 \\\ \\&\Rightarrow x = \frac{300}{4} = 75\end{aligned}​​

    Original price = ₹75 per kg

    Reduced price = 0.8 × 75 = ₹60 per kg

    Reduced price per kg = ₹60

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