Question

The cost price of an article if 500rs. nandu sold it to chandu at 10% profit chandu sold it do gotu at 10% loss .for what price did gotu purchase it?

Answer 1

Answer:

Rs 495

Step-by-step explanation:

Cost Price of article for Nandu = Rs 500

Nandu sold to chandu at 10 % Profit

10 % profit = (10/100)× 500 = Rs 50

Selling Price = Cost Price + Profit

Selling price = 500 + 50 = Rs 550

Selling Price by Nandu = Cost Price for Chandu

So cots price of Chandu = Rs 550

Chandu Sold to Gotu at 10% Loss

10% Loss = (10/100) × 550 = Rs 55

Chandu Selling Price = 550 - 55

= Rs 495

Chandu Selling Price = Gotu Purchase price

So gotu purchased it in RS 495

Answer 2

$\sf\textsf{This is how the cycle of purchase\\ goes according to the question.}$

$\Huge\sf\textsf{Nandu\rightarrow{Chandu\rightarrow{Gotu}}}$

Cost price of the article=₹500

It is given that Nandu sold it to Chandu at a profit of 10%

So,now ₹500 is SP for Nandu and CP Chandu.

CP=₹500

Gain=10%

So, SP=CP×(100+GAIN%/100)

=500×(100+10/100)

=500×110/100

=₹550

So, the selling price of the article that was sold to Chandu by Nandu is ₹550.

Now, it is given that Chandu sold the article to Gotu at a loss of 10%.

Here, the SP of article is CP for Gotu.

So, CP=₹550

Loss=10%

So, SP=CP×(100-Loss%/100)

=550×(100-10/100)

=550×90/100

=₹495

So, Gotu purchased the article for ₹495