Question

A shopkeeper bought two sofa sets for rupees 45000 each he sold one at a profit of 20% and other at a loss of 15% find the total profit or loss percent​

Answer 1

$\huge\mathbb{QUESTION\::-}$

A shopkeeper bought two sofa sets for rupees 45000 each he sold one at a profit of 20% and other at a loss of 15% find the total profit or loss percent​

$\huge\mathbb{SOLUTION\::-}$

CP of 1st sofa = sp × 100/100+p%

$45000 \times \frac{100}{100 + 20} \\ \\ 45000 \times \frac{100}{120} \\ \\ cut \: it \: and \: multiply \\ \\ =37500$


CP of 1st sofa = ₹37,500

CP of 2nd sofa = sp × 100/100-L%

$45000 \times \frac{100}{100 - 15} \\ \\ 45000 \times \frac{100}{85} \\ \\ cut \: it \: and \: multiply$
CP of 2nd sofa = ₹52941.17

Total CP = 52941.17 + 37500
Total CP = ₹90441.17

Total SP = 45000 + 45000
Total SP = ₹90000

CP > SP = loss

loss = CP - SP
loss = 90441.17 - 90000
loss=₹441.17

loss % = loss/cp ×100

$\frac{441.17}{90441.17} \times 100 \\ \\ cut \: it \: and \: multiply \\ \\ ans = > 0.4 \: \% \: approax$

$<marquee>HOPE IT WILL HELP YOU</marquee>$

Answer 2

\huge\mathbb{QUESTION\::-}QUESTION:−

A shopkeeper bought two sofa sets for rupees 45000 each he sold one at a profit of 20% and other at a loss of 15% find the total profit or loss percent

\huge\mathbb{SOLUTION\::-}SOLUTION:−

CP of 1st sofa = sp × 100/100+p%

\begin{lgathered}45000 \times \frac{100}{100 + 20} \\ \\ 45000 \times \frac{100}{120} \\ \\ cut \: it \: and \: multiply \\ \\ =37500\end{lgathered}

45000×

100+20

100

45000×

120

100

cutitandmultiply

=37500

CP of 1st sofa = ₹37,500

CP of 2nd sofa = sp × 100/100-L%

\begin{lgathered}45000 \times \frac{100}{100 - 15} \\ \\ 45000 \times \frac{100}{85} \\ \\ cut \: it \: and \: multiply \\ \\\end{lgathered}

45000×

100−15

100

45000×

85

100

cutitandmultiply

CP of 2nd sofa = ₹52941.17

Total CP = 52941.17 + 37500

Total CP = ₹90441.17

Total SP = 45000 + 45000

Total SP = ₹90000

CP > SP = loss

loss = CP - SP

loss = 90441.17 - 90000

loss=₹441.17

loss % = loss/cp ×100

\begin{lgathered}\frac{441.17}{90441.17} \times 100 \\ \\ cut \: it \: and \: multiply \\ \\ ans = > 0.4 \: \% \: approax\end{lgathered}

90441.17

441.17

×100

cutitandmultiply

ans=>0.4%approax

HOPE IT WILL HELP YOU