Question

Total number of people 60000.If $16\frac{2}{3}\%$ of the people who prefer Piano, would go with the people who prefer Flute, the percentage of people who prefer flute would have been.

• A. $13.5\%$
• B. $14.5\%$
• C. $15.5\%$
• D. $12.5\%$

Answer 1

The correct option is D $12.5\%$

No. of people who prefer piano $=9\%$ of $60,000$

$=60,000\times \frac{9}{100}$

$=600\times 9$

$=5400$

According to question $16\frac{2}{3}\%$ no. of people who prefer piano go with flute $\frac{50}{3}\%$ of $5400=900$

Required percentage -

$\Rightarrow \frac{900+11\%of60,000}{60,000}\times 100$

$\frac{900+6600}{60,000}\times 100$

$12.5\%$

Hence, the answer is $12.5\%.$