Question

Sahil purchased an iron almirah for Rs. 5200 and paid Rs. 180 for its transportation. He also spent Rs. 120 on painting and then sold it at a gain of 10%. Find the amount for which he sold the almirah.

Answer 1

Hint: First, find the total cost of an iron almirah by adding the cost price of an almirah, transportation cost, and the painting cost. After that, find the gain by multiplying the gain percent with the total cost. Now, add the total cost price with the gain amount to find the selling price. The amount obtained is the desired result.

Complete step by step answer:
Given: - Sahil purchased an iron almirah for Rs. 5200.
Spent on transportation = Rs. 180
Spent on painting = Rs. 120
Gain = 10%.
Let the selling price of an iron almirah be Rs $x$, the total price be $y$.
The total cost of an iron almirah will be obtained by adding the cost price, transportation cost, and painting cost. Then,
$ \Rightarrow y = 5200 + 180 + 120$
Add the terms on the right side to get the total cost,
$ \Rightarrow y = {\text{Rs}}{\text{. }}5500$
The gain on selling an iron almirah is obtained by multiplying the gain percent with the total cost,
$ \Rightarrow $Gain $ = \dfrac{{10}}{{100}} \times 5500$
Cancel out the common term and multiply the remaining terms,
$ \Rightarrow $Gain $ = {\text{Rs}}{\text{. }}550$
Now add the gain and the total cost price to get the selling price of the iron almirah,
$ \Rightarrow y = 5500 + 550$
Add the terms on the right side,
$\therefore y = {\text{Rs}}{\text{. }}6050$

Hence, the selling price is Rs. 6050.

Note: Cost Price: The price at which an article is purchased, is called its cost price (C.P.).
Selling Price: The price at which an article is purchased is known as its selling price (S.P.).
Profit or Gain: If SP is greater than CP then the seller is said to have profit or gain.