If 80% of 50% of $\frac{3}{8}$ of a number is 537, find the number.
If 80% of 50% of $\frac{3}{8}$ of a number is 537, find the number.
यदि किसी संख्या के $\frac{3}{8}$ का 50% का 80% = 537 है, तो वह संख्या ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
3580
Let the number be $x$.
According to the question:
$80%$ of $50%$ of $\frac{3}{8}$ of $x = 537$
So,
$\frac{80}{100} \times \frac{50}{100} \times \frac{3}{8} \times x = 537$
$\frac{4}{5} \times \frac{1}{2} \times \frac{3}{8} \times x = 537$
$\frac{3}{20}x = 537$
$x = 537 \times \frac{20}{3}$
$x = 179 \times 20 = 3580$
Correct Answer: 3580
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