Question

A laptop and a mobile phone web bought for rupees 40000 and rupees 24000 respectively the shopkeeper made a profit of 8% n laptop and a loss of 12% age on mobile phone find his gain or loss percent on the whole transaction

Answer 1

Answer:

profit = 0.5%. Hope this helps

Answer 2

Answer:

In the whole transaction, the gain of 0.5 % was made.

Step-by-step explanation:

Given :

Laptop was bought at = Rs. 40,000

Mobile was bought at = Rs. 24,000

Profit made on Laptop = 8 %

Loss occured on Mobile = 12 %

To find :

The total Loss or Gain % in the whole transaction

Solution :

$\textbf{\underline{\underline{Case I - }}}$

Here :

• Cost Price = 40,000
• Profit % = 8 %
• Selling Price = ??

$\bigstar \: {\boxed{\tt\:{SP = \frac{(100 + profit\%)} {100} \times CP}}}$

⇒ $\tt\:{SP = \dfrac{(100 + 8)} {100} \times 40000}$

⇒ $\tt\:{SP = \dfrac{108} {1} \times 400}$

⇒ $\tt\:{SP = 43200}$

Selling Price of the Laptop = Rs. 43,200.

$\rule{300}{1.5}$

$\textbf{\underline{\underline{Case II -}}}$

Here :

• Cost Price = 24,000
• Loss % = 12 %
• Selling Price = ??

$\bigstar \: {\boxed{\tt\:{SP = \frac{(100 - loss\%)} {100} \times CP}}}$

⇒ $\tt\:{SP = \dfrac{(100 - 12)} {100} \times 24000}$

⇒ $\tt\:{SP = \dfrac{88} {1} \times 240}$

⇒ $\tt\:{SP = 21120}$

Selling Price of the Mobile is Rs. 21,210.

$\rule{300}{1.5}$

$\textbf{\underline{\underline{Total Gain or Loss \% - }}}$

✯ $\textsf{Total Cost Price = }$

⇒ 40,000 + 24,000

⇒ 64,000

✯ $\textsf{Total Selling Price = }$

⇒ 43,200 + 21,120

⇒ 64,320

64,320 > 64,000

Selling Price > Cost Price

$\therefore$ It is a Gain !

$\rule{300}{1.5}$

$\textbf{\underline{\underline{Gain =}}}$

$\bigstar\:\boxed{\tt{Gain=Selling\: Price-Cost\: Price}}$

⇒ $\tt{Gain = 64320 - 64000}$

⇒ $\tt{Gain = 320}$

Gain = Rs. 320

$\rule{300}{1.5}$

$\textbf{\underline{\underline{Gain \% -}}}$

$\bigstar \: \boxed{\tt\:{Gain\% = \frac{Gain}{CP} \times 100}}$

⇒ $\tt\:{Gain\% = \dfrac{320}{64000} \times 100}$

⇒ $\tt\:{Gain\% = \dfrac{320}{640}}$

⇒ $\tt\:{Gain\% = 0.5\%}$

$\therefore$ In the whole transaction, the gain of 0.5 % was made.