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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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