Question

A furniture dealer buys 50 chairs for ₹19000. He spends ₹1000 for their transportation. if he sells the chairs for ₹450 each, find his gain or loss percent in the transaction​

Answer 1

AnswEr :

$\tt{Given} \begin{cases}\sf Cost\: Price ( CP ) = Rs. 19,000 + Extra \: Expenses \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sf (Rs. 19,000 +Rs.1,000) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf=\red{ Rs. 20,000}\\ \sf Selling\: Price ( SP ) = Number \times Cost \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sf (50 \times Rs. 450) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf=\red{Rs.22,500}\end{cases}$

As we Can see that Selling Price is More, therefore there will must be Gain Percent.

$\rule{300}{1}$

• According to the Question Now :

$\implies \large\boxed{ \tt Gain\% = \frac{Gain}{CP} \times 100}$

$\implies \tt Gain\% = \dfrac{(SP - CP)}{CP} \times 100$

$\implies \tt Gain\% = \dfrac{(22500 - 20000)}{200\cancel{00}} \times \cancel{100}$

$\implies \tt Gain\% = \cancel\dfrac{2500}{200}$

$\implies \pink{\tt Gain\% = 12.5\%}$

⠀

∴ Gain% on Whole Transaction is 12.5%

$\rule{300}{2}$

$\boxed{\begin{minipage}{7 cm}\underline{\text{Some Important Formulae Related to it :}}\\ \\ SP=CP\times(100+Profit)\%\\ \\SP=CP\times(100-Loss)\%\\ \\Profit\%=\dfrac{Profit}{CP}\times100 \\ \\Loss\%=\dfrac{Loss}{CP}\times100 \end{minipage}}$

Answer 2

Answer:

$\large\bold\green{12.5\%}$

$\large{\boxed{\mathfrak\purple{Solution:-}}}$

● Given:-

☆Cost price = Buying price + Transportation

So, Cost Price =Rs.(19000+1000)

★Cost Price=Rs.20000

☆ Selling Price=Number+cost

So, Selling price= 50 × 450

★ Selling Price = 22500

As selling price is more than the cost price so it should be gain.

★ Gain = Selling Price - Cost price

So, Gain = 22500-20000

★ Gain =2500

Then, Gain%=(Gain × 100)/Cost price

So, Gain% = (2500 × 100)/20000

Gain% = 250000/20000

So, Gain =12.5%

$\large{\boxed{Gain=12.5\%}}$

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