Ajith sells a table to Ajay at 10% profit and Ajay sells it to Anoob at 10% loss. At what price did Ajith purchase the table if Anoob paid Rs.2178?
Response
WebCam
O Rs 2100
ORs.2150
O Rs.2200
O Rs.2250
Answers
Given,
Ajith sells a table to Ajay at 10% profit.
Ajay sells the same table to Anoob at a 10% loss.
The total amount paid by Anoob = Rs. 2178
To find,
The total amount paid by Ajith to purchase the table.
Solution,
We can simply solve this mathematical problem using the following process:
Let us assume that the cost price of the table for Ajith is Rs. x.
Mathematically,
Profit/loss percentage = (total profit/loss earned)/(cost price) × 100
=> total profit/loss earned = (profit/loss percentage)/100 × (cost price)
Now, according to the question;
The total amount paid by Ajay to purchase the table
= (cost price of the table for Ajith) + (10% of the cost price of the table for Ajith)
= Rs. x + Rs. (10/100 × x)
= Rs. x + Rs. (x/10)
= Rs. 11x/10
Now, according to the question;
The total amount paid by Anoob to purchase the table = Rs. 2178
=> (cost price of the table for Ajay) - (10% of the cost price of the table for Ajay) = Rs. 2178
=> Rs. (11x/10) - Rs. (10/100 × 11x/10) = Rs. 2178
=> Rs. 11x/10 - Rs. (11x/100) = Rs. 2178
=> Rs. (110x/100 - 11x/100) = Rs. 2178
=> Rs. 99x/100 = Rs. 2178
=> 99x/100 = 2178
=> x = (2178×100)/99
=> x = 2200
=> cost price of the table for Ajith = Rs. 2200
=> total amount paid by Ajith to purchase the table = Rs. 2200
Hence, the total amount paid by Ajith to purchase the table is equal to Rs. 2200. (Option-C)