Question

7. Find gain and loss per cent of
(a) CP=600 and SP = 650
(c) CP= 3.50 and SP=2.80
(d) CP = * 400, overhead expenses = * 80 and SP = * 500
(b) CP = 21,000 and SP = 24,500​

Answer 1

$\huge \bold \color{green}{ \underline{ \underline \red{required \: answer:- }}}$

$\bold{ \underline{ \underline{formulae }}}:-$

$\bold \color{orange}profit = sp - cp$

$\bold \color{orange}loss = cp - sp$

$\bold \color{orange}profit \: \% = 100 \times \frac{profit}{cp}$

$\bold \color{orange}loss \: \% = 100 \times \frac{loss}{cp}$

$\bold{ \underline{ \underline{answers }}}:-$

1. 8.3% profit
2. 20% loss
3. 4.16% profit
4. 16.6% profit

$\bold{ \underline{ \underline{solution }}}:-$

$\bold \color{blue}{i)cp = 600 \: and \: sp = 650}$

here sp is greater then cp;

$\bold{ \: profit = 650 - 600} \\ \bold{ \implies \: profit = 50 \: \: \: \: \: }$

then..

$\bold{profit\% = 100 \times \frac{profit}{cp} } \\ \\ \bold{profit\% = 100 \times \frac{50}{600} \: \: \: \: \: } \\ \\ \bold{ \: \: \: \: \: = 8. \bar3\%}$

$\bold \color{blue}ii) \: cp = 3.50 \: and \: sp = 2.80$

here cp is greater than sp;

$\bold{loss = \: 3.50 - 2.80} \\ \bold{ \implies \: loss \: = 0.7 \: \: \: \: \: \: \: }$

then,

$\bold{loss\% = 100 \times \frac{loss}{cp} } \\ \\ \bold{loss\% = 100 \times \frac{0.7}{3.50} } \\ \\ \bold{ = 20\%}$

$\bold \color{blue}iii) \: cp = 400 + 80 \: and \: sp = 500$

here cp is greater than sp;

$\bold{profit = 500 - (400 + 80)} \\ \bold{\implies \: profit = 20 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }$

then,

$\bold{profit\% = 100 \times \frac{profit}{cp} } \\ \\ \bold{profit \% = 100 \times \frac{20}{480} \: \: \: \: } \\ \\ \bold{ \: \: \: \: \: = 4.1 \bar6\%}$

$\bold \color{blue}iv) \: cp = 21000 \: and \: sp = 24500$

here sp is greater than cp;

$\bold{profit = 24500 - 21000} \\ \bold{ \implies \: profit = 3500 \: \: \: \: \: \: \: \: \: \: \: }$

then,

$\bold{profit\% = 100 \times \frac{profit}{cp} } \\ \\ \bold{profit\% = 100 \times \frac{3500}{21000} } \\ \\ \bold{ \: \: \: \: = 16. \bar6\%}$