Question

David and Raja both purchased a carpet each for ₹ 32000. David sold his carpet for ₹ 34,220 and Raja sold his carpet for ₹ 34,880. What was the profit percent for each of them?

Answer 1

Concept Used: $\mathrm{Profit}\%=\frac{\mathrm{S}.\mathrm{P}-\mathrm{C}.\mathrm{P}}{\mathrm{C}.\mathrm{P}}\times 100$

Step 1: Given:

S.P. = ₹ 1904
Profit percent = 12%
Step 2:

C.P. of the carpet is = 32,000
David sold his carpet for = 34,240
$$\begin{gathered} \mathrm{Profit}\%=\frac{\mathrm{S}.\mathrm{P}-\mathrm{C}.\mathrm{P}}{\mathrm{C}.\mathrm{P}}\times 100 \\ =\frac{34240-32000}{32000}\times 100 \\ =\frac{2240}{320} \\ =\frac{224}{32} \end{gathered}$$

David got Profit = $7\%$

Step 3:

C.P. of the carpet is = 32,000

Raja sold his carpet for = 34,880

$$\begin{gathered} \mathrm{Profit}\%=\frac{\mathrm{S}.\mathrm{P}-\mathrm{C}.\mathrm{P}}{\mathrm{C}.\mathrm{P}}\times 100 \\ =\frac{34880-32000}{32000}\times 100 \\ =\frac{7880}{320} \\ =\frac{288}{32} \end{gathered}$$

David got Profit = $9\%$

Step 4: Hence, profit percent for David and Raja are 7% and 9% respectively