Question

if you are able then help me please my question is that ----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 if the selling price of each laptop is same. determine the CP of each laptop.

Answer 1

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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