• # question_answer8) Find the whole quantity  if (a) 5% of it is 600.                                                             (b) 12% of it is  1080 (c) 40% of it is 500 km.                                                    (d) 70% of it is 14 minutes. (e) 8% of it is 40 litres.

(a) Let the whole quantity be P. Then,                 5% of P = 600                 $\Rightarrow$               $\frac{5}{100}\times P=600$ $\Rightarrow$               $\frac{P}{20}=600$ $\Rightarrow$               $P=600\times 20$ $\Rightarrow$               $P=12000$ Hence, the whole quantity is 12000. (b) Let the whole quantity  P. Then,                   12% of P = 1080. $\Rightarrow$               $\frac{12}{100}\times P=$  1080 $\Rightarrow$               $\frac{3P}{25}=$  1080 $\Rightarrow$               $P=\frac{1080\times 25}{3}$ $\Rightarrow$               P =  9000 Hence, the whole quantity is  9000 (c) Let the whole quantity be P km. Then,                 40% of P = 500 $\Rightarrow$               $\frac{40}{100}\times P=500$ $\Rightarrow$               $\frac{2P}{5}=500$ $\Rightarrow$               $P=\frac{500\times 5}{2}$ $\Rightarrow$               $P=125\text{0 km}$. Hence, the whole quantity is 1250 km. (d) Let the whole quantity be P minutes Then, 70% of P = 14                 $\Rightarrow$               $\frac{70}{100}\times P=14$                 $\Rightarrow$               $\frac{7P}{10}=14$                 $\Rightarrow$               $P=\frac{14\times 10}{7}$                 $\Rightarrow$               P = 20                 Hence, the whole quantity is 20 minutes.                 (e) Let the whole quantity be P litres. Then.                                 8% of P = 40                 $\Rightarrow$               $\frac{8}{100}\times P=40$                 $\Rightarrow$               $\frac{2P}{25}=40$                 $\Rightarrow$               $P=\frac{40\times 25}{2}$                 $\Rightarrow$               $P=500$                 Hence, the whole quantity is 500 litres.