Question

Complete the following table with appropriate entries (Wherever possible)

S. no.	Cost Price (in Rs.)	Expenses (in Rs.)	Selling Price (in Rs.)	Profit (in Rs.)	Loss (in Rs.)	Profit Percentage	Loss Percentage
1	750	50		80
2	4500	500			1000
3	46000	4000	60000
4	300	50				12%
5	330	20					10%

Answer 1

Hint: We will first mention out the formulas we will use and then divide the question into 5 parts as per different serial numbers and then solve them using the formulas applicable.

Complete step-by-step answer:
We will use the following formulas in the parts we are going to solve:-
Selling Price = Cost to shopkeeper + Profit …………….(1)
$ \Rightarrow \Pr ofit\% = \dfrac{{\Pr ofit}}{{\operatorname{Cos} t}} \times 100$ ………………(2)
Selling Price = Cost to shopkeeper – Loss …………….(3)
$ \Rightarrow Loss\% = \dfrac{{Loss}}{{\operatorname{Cos} t}} \times 100$ ………………(4)
Let us now divide the question into 5 different parts as per 5 different sets of information given to us.
Part 1:
Here, we are given that the cost price is Rs. 750, the expenses are Rs. 50 and the profit is Rs. 80.
Now, we need to find the selling price and the profit percentage since it is an entry with profit, so loss and loss percentage are not applicable here.
Since, the cost price was Rs. 750 and the expenses were Rs. 50, so it eventually did cost the shopkeeper / person at Rs. ( 750 + 50 ) = Rs. 800.
Now, since they had the profit of Rs. 80. So, using the formula of the selling price as in equation (1), we get: Selling price = Rs. (800 + 80) = Rs. 880
Now, we will use the formula of Profit Percentage given by the equation (2).
Putting the values, we will get:-
$ \Rightarrow \Pr ofit\% = \dfrac{{80}}{{800}} \times 100$
On simplification, we get: Profit % = 10 %
Part 2:
Here, we are given that the cost price is Rs. 4500, the expenses are Rs. 500 and the loss is Rs. 1000.
Now, we need to find the selling price and the loss percentage since it is an entry with loss, so profit and profit percentage are not applicable here.
Since, the cost price was Rs. 4500 and the expenses were Rs. 500, so it eventually did cost the shopkeeper / person at Rs. (4500 + 500) = Rs. 5000.
Now, since they had the loss of Rs. 1000. So, using the formula of the selling price as in equation (3), we get: Selling price = Rs. (5000 - 1000) = Rs. 4000
Now, we will use the formula of Loss Percentage given by the equation (4).
Putting the values, we will get:-
$ \Rightarrow Loss\% = \dfrac{{1000}}{{4000}} \times 100$
On simplification, we get: Loss % = 25 %
Part 3:
Here, we are given that the cost price is Rs. 46000, the expenses are Rs. 4000 and the selling price is Rs. 60000.
Since, the cost price was Rs. 46000 and the expenses were Rs. 4000, so it eventually did cost the shopkeeper / person at Rs. (46000 + 4000) = Rs. 50000.
Since, the cost to shopkeeper < Selling price, the shopkeeper has a profit.
We will find the profit using the formula in the equation (1), putting the values, we get:-
$ \Rightarrow $60000 = 50000 + Profit
On simplifying the above equation for profit, we get:-
Profit = Rs. 10000
Now, we will use the formula of Profit Percentage given by the equation (2).
Putting the values, we will get:-
$ \Rightarrow \Pr ofit\% = \dfrac{{10000}}{{50000}} \times 100$
On simplification, we get: Profit % = 20 %
Part 4:
Here, we are given that the cost price is Rs. 300, the expenses are Rs. 50 and the profit percentage is 12%.
Since, the cost price was Rs. 300 and the expenses were Rs. 50, so it eventually did cost the shopkeeper / person at Rs. (300 + 50) = Rs. 350.
Since we are given a profit percentage as 12%, we have to find the profit and selling price now.
Putting the given values in the formula given in equation (2), we get:-
$ \Rightarrow 12 = \dfrac{{\Pr ofit}}{{350}} \times 100$
Simplifying the above equation to get profit, we will get:-
$ \Rightarrow $Profit = Rs. 42
Now, we will put the values in the equation (1) to get:-
$\Rightarrow$Selling price = Rs. (350 + 42) = Rs. 392
Part 5:
Here, we are given that the cost price is Rs. 330, the expenses are Rs. 20 and the loss percentage is 10%.
Since, the cost price was Rs. 330 and the expenses were Rs. 20, so it eventually did cost the shopkeeper / person at Rs. (330 + 20) = Rs. 350.
Since we are given a loss percentage as 10%, we have to find the loss and selling price now.
Putting the given values in the formula given in equation (4), we get:-
$ \Rightarrow 10 = \dfrac{{Loss}}{{350}} \times 100$
Simplifying the above equation to get profit, we will get:-
$ \Rightarrow $Loss = Rs. 35
Now, we will put the values in the equation (3) to get:-
$\Rightarrow$Selling price = Rs. (350 – 35) = Rs. 315
Now we will put all the found values in the table and we will get:-

S. no.	Cost Price (in Rs.)	Expenses (in Rs.)	Selling Price (in Rs.)	Profit (in Rs.)	Loss (in Rs.)	Profit Percentage	Loss Percentage
1	750	50	880	80	-	10	-
2	4500	500	4000	-	1000	-	25
3	46000	4000	60000	10000	-	20	-
4	300	50	392	42	-	12%	-
5	330	20	315	-	35	-	10%

Note:
The students must note that we generally have the cost price in the formula but here, we will use the cost price as a cost price plus the expenses because that is the cost to the shopkeeper and he will earn on that only. So, do not forget to use the column of expenses.
The students must note that profit and loss are both on the cost price, therefore, we have cost price in denominator of their formulas.
The students must commit to memory the following formulas:-
Selling Price = Cost to shopkeeper + Profit
$ \Rightarrow \Pr ofit\% = \dfrac{{\Pr ofit}}{{\operatorname{Cos} t}} \times 100$
Selling Price = Cost to shopkeeper – Loss
$ \Rightarrow Loss\% = \dfrac{{Loss}}{{\operatorname{Cos} t}} \times 100$