Question : If the price of an apple is reduced by 30 percent, it enables the customer to buy 5 more apples for Rs. 140. Find the reduced rate of apple.
Option 1: Rs. 14
Option 2: Rs. 7
Option 3: Rs. 8.4
Option 4: Rs. 12
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Correct Answer: Rs. 8.4
Solution :
Let the original price of an apple be $10x$.
The new price will be reduced by 30% $= 7x$
Now, according to the question,
$\frac{140}{7x}-\frac{140}{10x}=5$
⇒ $\frac{420}{70x}=5$
⇒ $\frac{6}{x}=5$
⇒ $x = 1.2$
The new price of apple $= 7x=7\times1.2=8.4$
Hence, the correct answer is Rs. 8.4.
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