AFCAT I 2020 Solved Paper

Let cost of first article be x
then cost of second article will be 560−x
Profit percent on first is =x×

10

100

loss percent on second is = (560−x)×

15

100

Because profit = loss we can equate above
⇒x×

10

100

= (560−x)×

15

100

⇒

x

10

=(560−x)×

3

20

Multiply both sides of the equation by 20, the least common multiple of 10,20.
2x=20(560−x)×(‌

3

20

)
2x=3(560−x)
Use the distributive property to multiply 3 by 560−x
2x=1680−3x
Add 3x to both sides.
2x+3x=1680
Combine 2x and 3x to get 5x
5x=1680
⇒ x = 336
and second article is 560-336 = 224