# Q.5.    Find the whole quantity if(a) 5% of it is 600. (b) 12% of it is Rs 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 X
Therefore, 5 % of X = 600
$\\\Rightarrow \frac{5}{100}\times X=600\\ \Rightarrow X = \frac{600\time 100}{5}=12000$
Thus the required whole quantity is 12000

(b) 12 % of X = Rs 1080
$\\\Rightarrow \frac{12}{100}\times X=1080\\ \Rightarrow X = \frac{1080\time 100}{12}=9000$

(c) 40 % of X = 500 km
$\\\Rightarrow \frac{40}{100}\times X=500\\ \Rightarrow X = \frac{50000\time 100}{40}=1250\ km$

(d) 70% of X = 14 minutes
$\\\Rightarrow \frac{70}{100}\times X=14\ min\\ \Rightarrow X = \frac{1400\time 100}{70}=20\ min$

(e) 8 % of X = 40 litre
$\\\Rightarrow \frac{8}{100}\times X=40\ L\\ \Rightarrow X = \frac{4000}{8}=500\ L$

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