Question

Last year, oranges were available at Rs. $24$ per dozen ; but this year, they are available at Rs. $50$ per score. Find the percentage change in the price of oranges [$1$ score $=20$].

• A. $15\%$
• B. $25\%$
• C. $50\%$
• D. $75\%$

Answer 1

The correct option is B $25\%$

Given that last year oranges were available at $Rs.24$ per dozen.

Therefore, price of one orange is $p_1=\frac{24}{12}=Rs.2$

Given that this year oranges were available at $Rs.50$ per score.

Therefore, price of one orange is $p_2=\frac{50}{20}=Rs.2.50$

we know that percentage change is given by $\frac{p_2-p_1}{p_1}\times 100$

Therefore, the percentage change in price of oranges is $\frac{2.5-2}{2}\times 100=25\%$