Question

varun sold two almirahs for ₹2730 each.on one he lost 9℅ while on other he gain 12 ℅ find his gain or loss in the whole transaction. ​

Answer 1

$\large\purple{ \underline{ \underline{ \blue{ \rm \: given : }}}}$

• Number of almirah = 2

• Cost 1 almirah = rs. 2730

• Loss% on 1 almirah = 9%

• Gain% on 2 almirah = 12%

$\large\pink{ \underline{ \underline{ \orange{ \rm \: to \: find : }}}}$

• Gain or Loss in whole transaction

$\large\red{ \underline{ \underline{ \green{ \rm \: solution : }}}}$

• Case 1

$\: \large \orange{ \boxed{ \boxed{ \purple{ \rm \: loss = \frac{loss\% \times c.p}{100} }}}}$

$\implies \rm \: loss = \dfrac{9 \times2730 }{100}$

$\implies \rm \: loss = \dfrac{9 \times273 }{10}$

$\implies \rm \: loss = \dfrac{2457 }{10}$

$\large \therefore \blue{ \boxed{ \red{ \rm \: loss = rs \: \: 245.7}}}$

• Case 2

$\: \large \orange{ \boxed{ \boxed{ \purple{ \rm \: profit = \frac{profit\% \times c.p}{100} }}}}$

$\implies \rm \: profit = \dfrac{12 \times2730 }{100}$

$\implies \rm \: profit = \dfrac{12 \times273 }{10}$

$\implies \rm \: profit = \dfrac{3276 }{10}$

$\large \therefore \blue{ \boxed{ \red{ \rm \: profit= rs \: \: 327.6}}}$

Since,

$\large \purple{ \rm \: profit > loss}$

$\therefore$ He has Profit

$\: \blue{ \boxed{ \boxed{ \green{ \rm total \: \: profit = profit - loss }}}}$

$\implies$ 327.6 - 245.7

$\therefore$ Total profit = rs 81.9

$\rightarrow$ Total C.P = 2730 + 2730

= rs. 5460

$\: \large \orange{ \boxed{ \boxed{ \pink{ \rm \: profit\% = \frac{profit}{c.p} \times 100}}}}$

$\implies \rm \: p\% = \dfrac{81.9}{5460} \times 100$

$\implies \rm \: p\% = \dfrac{819}{54600} \times 100$

$\implies \rm \: p\% = \dfrac{819}{546}$

$\large \green{ \boxed{ \therefore\underline{ \purple{ \rm \: profit\% = 1.5\%}}}}$