Question : A reduction of 21% in the price of an item enables a person to buy 3 kg more for Rs. 100. The reduced price of the item per kg is:
Option 1: Rs. 5.50
Option 2: Rs. 7.50
Option 3: Rs. 10.50
Option 4: Rs. 7
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Correct Answer: Rs. 7
Solution :
Given: A reduction of 21% in the price of an item enables a person to buy 3 kg more for Rs. 100.
Let the original price be Rs. $100x$. After the 21% reduction, the price dropped by Rs. $21x$.
Rs. $21x$ is also the cost of 3 kg more.
Now, Rs. $100x$ will enable a purchase of ($\frac{3×100x}{21x}$) = $\frac{100}{7}$ kg more.
So, we get $\frac{100}{7}$ kg for Rs. 100
Therefore, the reduced price of the item per kg is = 100 × $\frac{7}{100}$ = Rs. 7
Hence, the correct answer is Rs. 7.
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