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A reduction of 12.5% in the price of the dining table brought down its price at Rs. 4375. What is the original price of the dining table?
A. 8,000
B. 5,000
C. 5,500
D. 6,080

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Last updated date: 18th Jul 2024
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Answer
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Hint: Start by assuming that the initial price of the dining table is a variable, and then apply the condition in the question to determine the value of x.

Complete step-by-step answer:
Let us assume the original price of the dining table to be Rs x.
$x - \dfrac{{12.5}}{{100}}x = 4375$
On simplifying the equation, we get,
$ \Rightarrow 100x - 12.5x = 437500$
$ \Rightarrow x = \dfrac{{437500}}{{87.5}}$
On dividing, we get,
$ \Rightarrow x = 5000$
Therefore, the original price of the dining table is Rs 5000.
So, Option (B) is the correct answer.

Note: Begin by assigning the unknown value to a variable and then apply the condition to get the answer. Make sure whenever there is there is % convert it and simplify.