The proce of an article increased successively over three consecutive weeks. It increased by `10%` in the first week, `20%` in the second week and `25%` in the third week. Find the effective percentage increase in its price after three weeks.

Options

A. `55%`
B. `65%`
C. `50%`
D. `60%`

Answer

B

Explanation

Let the initial price be Rs. 100.
Final price (in Rs.) `=100(1+(10)/(100))(1+(20)/(100))(1+(25)/(100))=100((11)/(10))((6)/(5))((5)/(4))`
`therefore ` Effective percentage increase =65%