a book seller purchased 800 copies of a book for rs 4400. he sold 600 at a profit of 20% and remaining copies at a loss of 25% find percent profit/loss in the total transaction
Answers
=5.5 Rs/copy
then price of 600 copies is 3300Rs
sp= cp(100+p%)/100
=3960
sp=cp(100-loss%)/100=825
total= 3960+825=4785
profit= 4785-4400=385 Rs
There is a profit of 8.75%
Given : A book seller purchased 800 copies of a book for rs 4400. he sold 600 at a profit of 20% and remaining copies at a loss of 25%.
To find : Loss or profit percent in total transaction.
Solution :
We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate loss or profit percent)
Cost price of 800 books = Rs. 4400
Cost price of 1 book = (4400 ÷ 800) = Rs. 5.5
So,
Cost price of 600 books :
= Coste price of 1 book × 600
= Rs. (5.5 × 600)
= Rs. 3300
Remaining books = 800 - 600 = 200
So,
Cost price of 200 books :
= Cost price of 1 book × 200
= Rs. (5.5 × 200)b
= Rs. 1100
At, 20% profit, the selling price of 600 books :
= Cost price of 600 books + (Cost price of 600 books × 20%)
= Rs. {3300 + (3300 × 20%)}
= Rs. [3300 + {3300 × (20/100)}]
= Rs. (3300 + 660)
= Rs. 3960
At, 25% loss, the selling price of 200 books :
= Cost price of 200 books - (Cost price of 200 books × 25%)
= Rs. {1100 - (1100 × 25%)}
= Rs. [1100 - {1100 × (25/100)}]
= Rs. (1100 - 275)
= Rs. 825
Total selling price :
= Rs. (3960 + 825)
= Rs. 4785
Total cost price = Rs. 4400
So,
Total selling price > Total cost price
So, there will be a profit.
Profit amount :
= Total selling price - Total cost price
= Rs. (4785-4400)
= Rs. 385
Profit percentage :
= 100 × (profit amount / total cost price)
= 100 × (385/4400)
= 8.75%
(This will be considered as the final result.)
Hence, there is a profit of 8.75%