Question

Find the missing values from the data given in the table.

Answer 1

$\left(1\right)$ Given that, $C.P.=750$, Expenses $=50$ and Profit $=80$

We know that, $S.P.=C.P.+Expenses+Profit$

$\therefore$ $S.P.=750+50+80=880$

We also know that, $\text{Profit}\%=\frac{Profit\times 100}{C.P.}\%$

$\therefore$ Profit percentage $=\frac{80}{800}\times 100=10\%$

$\text{Hence,}S.P.=880\text{and profit percentage}=10\%$

$\left(2\right)$ Given that, $C.P.=4500$, Expenses $=500$ and Loss $=1000$

$\therefore$ $S.P.=4500+500-1000=4000$ $[S.P.=C.P.+Expenses-Loss]$

We know that, $\text{Loss}\%=\frac{Loss\times 100}{C.P.}\%$

$\therefore$ Loss percentage $=\frac{1000}{5000}\times 100=20\%$

$\text{Hence,}S.P.=4000\text{and loss percentage}=20\%$

$\left(3\right)$ Given that, $C.P.=46000$, Expenses $=4000$ and $S.P.=60000$

We know that, $Profit=S.P.-C.P.-Expenses$

$\therefore$ Profit $=60000-46000-4000=10000$

$\therefore$ Profit percentage $=\frac{10000}{50000}\times 100=20\%$ $[\text{Profit}\%=\frac{Profit\times 100}{C.P.}\%]$

$\text{Hence, profit}=10000\text{and profit percentage}=20\%$

$\left(4\right)$ Given that, $C.P.=300$, Expenses $=50$ and Profit percentage $=12\%$

We know that, $\text{Profit}=\frac{Profit\%\times C.P.}{100}\%$

$\therefore$ Profit $=\frac{12}{100}\times 350=42$

$\therefore$ $S.P.=300+50+42=392$ $[S.P.=C.P.+Expenses+Profit]$

$\text{Hence, profit}=42\text{and}S.P.=392$

$\left(5\right)$ Given that, $C.P.=330$, Expenses $=20$ and Loss percentage $=10\%$

We know that, $\text{Loss}=\frac{Loss\%\times C.P.}{100}\%$

$\therefore$ Loss $=\frac{10}{100}(330+20)=35$

$\therefore$ $S.P.=350-35=315$ $[S.P.=C.P.-Loss]$

$\text{Hence, loss}=35\text{and}S.P.=10\%$