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.

Please Help Me to solve This.​

Answer 1

Answer With Step-by-step explanation:

the selling price of each laptop is same

so, let Selling price of each laptop be x

Deepak bought 2 laptops for Rupees 42500 and sold one to his friend ramesh at a loss of 10% and other at a gain of 10% to Sohan

[ NOTE : if two objects are sold with same percentage of profit and loss is loss

so, loss% = (a/10)²

where a is the percentage value of profit and loss]

profit and loss = 10%

so, total loss = (10%/10)² = 1%

selling price of 2 laptops = 42500 - 1% of 42500 = 42500 - 425 = 42075

so, 2x = 42075

x = 42075/2

x = 21037.5

sold one to his friend ramesh at a loss of 10%

let cost price of 10% loss laptop be a

so, x = a - 10% a

x = 100% a - 10%a

21037.5 = 90%a

90a/100 = 21037.5

90a = 2103750

a = 2103750/90

a = 23375

other 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

21037.5 = 110% b

110b/100 = 21037.5

110b = 2103750

b = 2103750/110

b = 19125

to check whether answer is correct or not:

a + b = 42500

23375 + 19125 = 42500

42500 = 42500

hence the answer is correct

cost price of 10% loss laptop is a = 23375

cost price of 10% profit laptop is b = 19125

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