When a plot is sold for $18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?

Question: When a plot is sold for $18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?

Solution:
When the plot is sold for $18,700, the owner loses 15%.
So, selling price = 85% of the cost price

Let, cost price = $x

According to the question,
85% of x = 18,700
⇒ 85x/100 = 18,700
⇒ x = (18,700 × 100)/85
⇒ x = 22,000

So, the cost price of the plot = $22,000

Now, to gain 15%,
Required selling price = 115% of the cost price
= 115% of 22,000
= (115 × 22,000)/100
= 25,300

Therefore, the plot must be sold for $25,300.

Correct Answer: গ) $25,300