The price of a mobile-first successively decreases by 5% and 2%, and after that, the price is increased successively by 10%, and 20%, respectively. What is the final change in the price of the mobile?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 22%.
Let the price of the mobile be 100.
According to the question,
The new price of the mobile
⇒ 100 × (100 - 5)/100 × (100 - 2)/100 × (100 + 10)/100 × (100 + 20)/100
⇒ 100 × 95/100 × 98/100 × 110/100 × 120/100
⇒ 122
Hence, the final change in the price = (122 - 100)% = 22%