The price of an article is ₹ 25. After two successive cuts by the same percentage, the price becomes ₹ 20.25. If each time the cut was x%, then

Options

A. x = 9
B. x = 10
C. x = 11
D. x = 11.5

Answer

B

Explanation

Accordign to the question,
`rArr 25xx((100-x)/(100)) ((100-x)/(100)) = 20.25`
`rArr (100-x)^(2) = (202500)/(25) rArr (100-x)^(2) = 8100`
`rArr 100-x = 90`
`therefore x = 10`
Alternate Solution:
2 Successive discount of x%
`= (x+ x -(x^(2))/(100))%`
Here discount % `= (4.75)/(25) = 19%`
`therefore ` From option we can say
x =10, to make total discount of 19% .