Question

Find the number which when multiplied by $\frac{0.0016\times 0.025}{0.325\times 0.05}÷\frac{0.1216\times 0.105\times 0.002}{0.08512\times 0.625\times 0.039}$ yields the product $200$?

• A. $25$
• B. $100$
• C. $80$
• D. $200$

Answer 1

The correct option is B $100$

$\frac{0.0016\times 0.025}{0.325\times 0.05}÷\frac{0.1216\times 0.105\times 0.002}{0.08512\times 0.625\times 0.039}$

$=\frac{0.0016\times 0.025}{0.325\times 0.05}\times \frac{0.08512\times 0.625\times 0.039}{0.1216\times 0.105\times 0.002}$

$=\frac{1.6\times 25}{325\times 5}\times \frac{851.2\times 625\times 39}{1216\times 105\times 2}$

$=\frac{1.6\times 25}{325\times 5}\times \frac{851.2\times 625\times 39}{1216\times 105\times 2}$

$=2$

Let the number to be multiplied be $a$.

Given, $2\times a=200$

$=>a=100$