Question

Deepak bought two laptops for 3 42,500 and sold one to his friend Ramesh at a loss
of 10% and other at a gain of 10% to Sohan. If the selling price of each laptop is same,
determine the CP of each laptop.

Please Help me to solve This If you Don't Know Please Help me.​

Answer 1

QUESTION ⤵️

Deepak bought two laptops for 42,500 and sold one to his friend Ramesh at a loss

of 10% and other at a gain of 10% to Sohan. If the selling price of each laptop is same,

determine the CP of each laptop.

ANSWER ⤵️

as both the laptops has the same selling price then let the selling price be X rupees.

loss% = (a/10)^2

[where a is the percentage value of profit and loss]

profit amd loss %= 10%

so total loss, = (10%/10)^2 =1%

sp of 2 laptops = 42500-1% of 42500

= 42500-425

= 42075

so, 2x= 42075

therefore, x= 21037.5

he sold one laptop to his friend Ramesh at a loss of 10%

so let cost price of 10% loss laptop be a

so, x= a- 10%a

x= 100% -10%a

21037.5 = 90%a

90a/100= 21037.5

therefore, a = 23375

he sold other laptop at a gain of 10% to sohan let cost price of 10% gain laptop be b.

so, x=b+10%b

x= 100%b +10%b

x=110%b

therefore, b= 19125

now to check whether the answer is correct or not.

a+b= 42500

23375+19125=42500

hence the answer is correct

Cp of 10% loss laptop is a = 23375

Cp of 10% profit laptop is b = 19125

${\huge{\boxed{\mathcal{\pink{hope \: it \: helps}}}}}$

Answer 2

Explanation:

Deepak bought two laptops for 42,500 and sold one to his friend Ramesh at a loss

of 10% and other at a gain of 10% to Sohan. If the selling price of each laptop is same,

determine the CP of each laptop.

ANSWER ⤵️

as both the laptops has the same selling price then let the selling price be X rupees.

loss% = (a/10)^2

[where a is the percentage value of profit and loss]

profit amd loss %= 10%

so total loss, = (10%/10)^2 =1%

sp of 2 laptops = 42500-1% of 42500

= 42500-425

= 42075

so, 2x= 42075

therefore, x= 21037.5

he sold one laptop to his friend Ramesh at a loss of 10%

so let cost price of 10% loss laptop be a

so, x= a- 10%a

x= 100% -10%a

21037.5 = 90%a

90a/100= 21037.5

therefore, a = 23375

he sold other laptop at a gain of 10% to sohan let cost price of 10% gain laptop be b.

so, x=b+10%b

x= 100%b +10%b

x=110%b

therefore, b= 19125

now to check whether the answer is correct or not.

a+b= 42500

23375+19125=42500

hence the answer is correct

Cp of 10% loss laptop is a = 23375

Cp of 10% profit laptop is b = 19125

{\huge{\boxed{\mathcal{\pink{hope \: it \: helps}}}}}

hopeithelps