Question

In 2016, the price of a refrigerator increased by 5%, and in 2017, it decreased by 5%. At the end of the year 2017, its price was ₹47,880. What was its price at the beginning of the year 2016?

• A. ₹48,000
• B. ₹46,000
• C. ₹48,560
• D. ₹54,050

Answer 1

Answer:

A. ₹48,000

Let the original price at the beginning of 2016 be ₹x.

Increase of 5% in 2016

Decrease of 5% in 2017

$\text{Final price} = 1.05x \times 0.95 = 0.9975x$

Given:
$0.9975x = 47880$
$x = \frac{47880}{0.9975} = 48000$
Price at the beginning of 2016 = ₹48,000