Question 65

Due to 20% reduction in the price of wheat per kg, Ram is able to buy 5 kg more fore ₹800. What is the original price (in ₹)of wheat per kg?

Solution

Let the original price be ₹100x per kg

So, the reduced price will be $$100x\times\ \frac{80}{100}=80x$$

According to question,

$$\frac{800}{80x}-\frac{800}{100x}=5$$

$$\frac{10}{x}-\frac{8}{x}=5$$

$$\therefore\ x=\frac{2}{5}$$

So original price = $$\therefore100\times\ \frac{2}{5}=₹40$$

Hence, Option D is correct.

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