Question

Nidhi purchased 2 sarees for a total of 4000. Sold one saree at a profit of 15%
and the other saree at a loss of 15%. If the selling price of both the sarees is
same, find the cost price of each saree.​

Answer 1

AnswEr :

• Let the Cost Price of First Saree be Rs. x, Sold at Profit of 15%
• Then Price of Second Saree be Rs. (4000 - x), Sold at Loss of 15%

• According to the Question Now :

$\implies\tt Selling \:Price_{1st \: Saree} = Selling \:Price_{2nd \: Saree} \\ \\\implies\tt CP_{1st\: Saree} \times (100 + Profit)\% = CP_{2nd \: Saree} \times (100 - Loss)\% \\ \\\implies\tt x \times (100 + 15)\% = (4000 - x) \times (100 - 15)\%\\ \\\implies\tt x \times115\cancel\% = (4000 - x) \times 85 \cancel\% \\ \\\implies\tt x \times 115 = (4000 - x) \times 85 \\ \\\implies\tt115x = 340000 - 85x \\ \\\implies\tt115x + 85x = 340000 \\ \\\implies\tt200x = 340000 \\ \\\implies\tt x = \cancel\frac{340000}{200} \\ \\\implies \blue{\tt x =Rs. \: 1700}$

$\rule{300}{1}$

• Cost Price of Second Saree :

⇒ Cost Price = Rs.(4000 - x)

⇒ Cost Price = Rs.(4000 - 1700)

⇒ Cost Price = Rs. 2300

⠀

∴ Cost Price of First and Second Saree will be Rs. 1700 and Rs. 2300 respectively.

$\rule{300}{2}$

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

#answerwithquality #BAL

Answer 2

Answer:

Suppose the cost price of First Saree = Rs x.

Then price of second Saree be Rs (4000 - x).

Sold at profit of 15%.

Sold at loss of 15%.

$^{selling \: price} First \: saree \: \: = ^{selling \: price} second \: saree$

$^{cp}1st Saree \times (100 + profit)\% =^{cp} 2nd \: saree\:(100 - loss).</p><p>$

$x \times (100 + 15)\% = (4000 - x) \times (100 - 15)\%.$

x × 115% = (4000 - x) × 85%.

x × 115 = (4000 - x) × 85.

115x = 340000 - 85x.

115x+ 85x = 340000.

200x = 340000.

x = 340000

200

x = Rs 1700.

Cost price of second Saree:

Cost price = Rs(4000 - x).

Cost price = Rs(4000 - 1700).

Cost price = Rs 2300.

The cost price of 1st Saree = 1700.

And the cost price of 2nd Saree = 2300 .

#answerwithquality #BAL.