If 60% of 80% of $$\frac 35$$​ of a number is 216 , find the number.

Correct option is B

Given
$$60\% \,of \,80\%\, of \frac{3}{5}$$​of a number = 216
Solution
Let the unknown number be x.
​$$\frac{60}{100} \times \frac{80}{100} \times \frac{3}{5} \times x = 216 \\\frac{3}{5} \times \frac{4}{5} \times \frac{3}{5} \times x = 216 \\\frac{36}{125} \times x = 216 \\x = \frac{216 \times 125}{36} \\x = 6 \times 125 = 750$$​​
Final Answer
So the correct answer is (b)