Question

Calculate the profit or loss and profit or loss per cent in each of the following cases:
(i) C.P. $=Rs.4560$, S.P. $=Rs.5000$
(ii) C.P. $=Rs.2600$, S.P. $=Rs.2470$
(iii) C.P. $=Rs.332$ S.P.$=Rs.350$
(iv) C.P. $=Rs.1500$, S.P.$=Rs.1500$

Answer 1

(i) Given CP $=Rs.4560$, SP $=Rs.5000$
Here, SP$>$ CP. So, profit.
Profit amount$=$ SP $-$ CP$=Rs.(5000-4560)=Rs.440$
Profit $\%=\frac{\text{Profit}}{\text{CP}}\times 100\%$
$=\frac{440}{4560}\times 100\%$
$=0.0965\times 100\%$
Therefore profit $\%=9.65\%$
(ii) Given CP $=Rs.2600$, SP $=Rs.2470$.
Here, CP $>$ SP. So, loss.
Loss $=$ CP $-$ SP $=Rs.(2600-2470)=Rs.130$
Profit$\%=\frac{\text{Profit}}{\text{CP}}\times 100$
$=\frac{130}{2600}\times 100\%$
$=0.05\times 100\%$
Therefore, Profit$\%=5\%$
(iii) Given CP $=Rs.332$, SP$=Rs.350$.
Here, SP $>$ CP. So, profit.
Profit $=$SP $-$ CP
$=Rs.(350-332)$
$=Rs.18$
Profit$\%=\frac{\text{Profit}}{\text{CP}}\times 100\%$
$=\frac{18}{332}\times 100\%$
$=0.054\times 100\%$
Profit$\%=5.4\%$
(iv) CP $=Rs.1500$, SP $=Rs.1500$
SP $=$ CP.
So, neither profit nor loss.