Question

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

Answer 1

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.