Question

Complete the following table with appropriate entries (Wherever possible).

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

Answer 1

Hint: For solving this problem, first consider each row one by one and identify the correct formula to obtain the value of desired quantity to fill the particular cell. By using the relevant data corresponding to that row, we can easily evaluate the required quantities.

Complete step-by-step solution -

The suitable formulas for completing the table are:
 Total cost price = C.P = C.P + expenses.
Selling price of the article = Profit + C.P
 Profit of the article = C.P – S.P
Loss of the article = S.P – C.P
Percentage profit \[=\dfrac{\text{Profit }}{C.P}\times 100\]
Percentage loss \[=\dfrac{\text{Loss}}{C.P}\times 100\]
For row 1,
Total cost price = C.P + expense = 750 + 50
Total cost price = = Rs.800
Now, total cost price and profit are given. So, the selling price is:
S.P = Profit + C.P $=800+80$
S.P = Rs. 880
Percentage profit $=\dfrac{\text{Profit }}{C.P}\times 100=\dfrac{80}{800}\times 100$
Percentage profit = 10 percent.
Loss = Percentage loss = 0.
 For Row 2,
Total cost price = C.P + expenses = 4500 + 500
Total cost Price = Rs.5000
Loss = C.P – S.P
S.P = C.P - Loss = 5000 - 1000
S.P = Rs.4000
Percentage loss \[=\dfrac{\text{Loss}}{C.P}\times 100=\dfrac{\text{1000}}{5000}\times 100=20\]
Percentage profit = Profit = 0.
For row 3,
Total C.P = C.P + expenses = 46000 + 40000 = 50000
Profit or loss = S.P – C.P = 60000 – 50000 = Rs.10000(Profit)
Percentage Profit $=\dfrac{\text{Profit}}{C.P}\times 100$
Percentage Profit $=\dfrac{10000}{50000}\times 100=20$
Loss = Percentage loss = 0
For row 4,
Total C.P = C.P + expenses = 300 + 50 =350
Profit = S.P – C.P
Percentage Profit $=\dfrac{\text{Profit}}{C.P}\times 100$
$\begin{align}
  & \dfrac{\text{Percentage profit }\times \text{ C}\text{.P }}{100}=12\times 3.5 \\
 & \text{Profit}=42 \\
\end{align}$
S.P = Profit + C.P = 42 + 350 = Rs.392
Loss = Percentage loss = 0
For Row 5,
Total C.P = C.P + expense = 330 + 20 = Rs.350
Percentage loss \[=\dfrac{\text{Loss}}{C.P}\times 100\]
$\begin{align}
  & \dfrac{\text{Percentage loss }\times \text{ C}\text{.P }}{100}=0.1\times 350 \\
 & \text{Loss}=35 \\
\end{align}$
S.P = C.P - Loss = 350 – 35 = Rs. 315
Profit percent = 0.

S No.	Cost Price(C.P.)	Expenses	Selling Price (S.P)	Profit	Loss	ProfitPercentage	Loss Percentage
1	Rs.750	Rs.50	Rs.880	Rs. 80	Rs. 0	10%	0
2	Rs.4500	Rs.500	Rs.4000	Rs.0	Rs.1000	0	20%
3	Rs.46000	Rs.4000	Rs.60000	Rs.10000	Rs.0	20%	0
4	Rs.300	Rs.50	Rs.392	Rs.42	Rs.0	12%	0
5	Rs.330	Rs.20	Rs.315	Rs.0	Rs.35	0	10%

Note: This is a direct problem related to simple formula application of profit and loss. Students must remember that total cost price must be obtained by adding the cost price and expenses. One common mistake is the consideration of cost as only cost price as given in the table.