Question

If 15% of a number is one-fourth of 60% of 1225, then the number is ?

Answer 1

LET the number be x,

By given condition,
$15\% \times x = \frac{1}{4} \times 60\% \times 1225 \\ \frac{15x}{100} = \frac{1}{4} \times \frac{60}{100} \times 1225 \\ \frac{3x}{20} = \frac{6}{40} \times 1225 \\ \frac{3x}{20} = \frac{3}{20} \times 1225 \\ \frac{3x}{20} = \frac{3}{4} \times 245 \\ \frac{3x}{20} = \frac{735}{4} \\ 3x = \frac{735 \times 20}{4} \\ 3x = 735 \times 5 \\ x = \frac{735 \times 5}{3} \\ x = 245 \times 5 \\ x = 1225$
Hence the number is 1225.