Question

The price of a bike is increased by 20% from its original price and its new price is Rs. 48000. Find the original price.

• A. Rs. 40000
• B. Rs. 45000
• C. Rs. 44000
• D. Rs. 42000

Answer 1

The correct option is A

Rs. 40000

The new price of the bike = Rs.48000
Percentage increase = $\frac{NewPrice-OriginalPrice}{OriginalPrice}\times 100$ = $\frac{Rs.48000-OriginalPrice}{OriginalPrice}\times 100$
$\Rightarrow 20=\frac{Rs.48000-OriginalPrice}{OriginalPrice}\times 100$
$\Rightarrow$ 20 x Original Price = Rs. 48000 x 100 - Original Price x 100
$\Rightarrow$ 20 x Original Price + Original Price x 100 = Rs. 48000 x 100
$\Rightarrow$ 120 x Original Price = Rs. 48000 x 100
$\therefore$ Original Price = $\frac{Rs.48000\times 100}{120}=Rs.40000$