Find the number which when multiplied by {0.0016 x 0.025}/{0.325 x 0.05}

Question

Find the number which when multiplied by \(\cfrac{0.0016\times0.025}{0.325\times0.05}\div \cfrac{0.1216\times0.105\times0.002}{0.08512\times0.625\times0.039}\) yields the product 20?

(a) 25

(b) 100

(c) 80

(d) 200

Answer 1

Correct option : (b) 100

Given Exp. \(=\cfrac{0.0016\times0.025}{0.325\times0.05} \times \cfrac {0.08512\times0.625\times0.039}{0.1216\times0.105\times0.002}\)

\(=\cfrac{16\times25}{325\times5\times100} \times \cfrac {8512\times625\times39}{1216\times105\times2\times10}\)

\(=\cfrac{1}{1000} \times \cfrac {8512}{1216}\times \cfrac{25}{325} \times \cfrac{625}{5} \times \cfrac{16}{2} \times \cfrac{39}{105}\)

\(=\cfrac{1}{1000} \times 7\times \cfrac{1}{13} \times 125\times 8 \times \cfrac{13}{35}\)

\(=\cfrac{1}{1000} \times 8 \times \cfrac{125}{5}\)

\(=\cfrac{8\times25}{1000} =\cfrac{8}{40}=\cfrac{2}{10}.\)

So, we have to multiplied given expression with 100 to yield the product 20.