Question

a shopkeeper sold an article at a gain of 5%. If he had sold it for Rs.16.50 less,he would have lost 5%. find the cost price of the article

Answer 1

Let the cost price be x.

Given , 5% gain = x + (5/100) * x

                           = 1.05x.

Given, 5% Loss = x - (5/100) * x

                          = 0.95x

Given that 1.05x - 0.95x = 16.5

                    0.1x = 16.5

                           x = 165.


Hope this helps!

Answer 2

Answer:

165

Step-by-step explanation:

Let C.P. be x.

On 5% gain = x + 5% * x

= x + 5/100 * x

= x + x/20

= 20x + x/20

= 19x/20

On 5% loss = x - 5% * x

= x - 5/100 * x

= x - x/20

= 20x - x/20

= 19x/20

ATQ

21x/20 - 19x/20 = 16.50

21x - 19x/20 = 1650/100

2x/20 = 1650/100

x = 1650/100 * 20/2

x = 165