44% of 80% of a number is 6864. What will be 15% of that number?
Answer & explanation
Correct answer: option 3
44% of 80% of a number is 6864
Let the number is = N
\(\frac{44}{100}\) × \(\frac{80}{100}\) × N = 6864
\(\frac{11}{25}\) × \(\frac{4}{5}\) × N = 6864
N = 6864 × \(\frac{25}{11}\) × \(\frac{5}{4}\)
= 19,500
Now, 15% of 19,500
= \(\frac{15}{100}\) × 19,500
= \(\frac{3}{20}\) × 19,500
= 2,925