(i) 2 is what percent of 50? 1 1 (ii) is what percent of ? 2 3 (iii) What percent of 7 is 84? (iv) What percent of 2 metric tonnes is 40 quintals? (v) What percent of 6.5 litres is 130 ml? (vi) What percent is 1 minute 10 seconds of half an hour? (P.C.S., 2009) 2
Answer
Answer (as printed):
Explanation
(i) Required percentage $=\left(\frac{2}{50}\times100\right)\%=4\%$. (ii) Required percentage $=\left(\frac{1}{2}\times\frac{3}{1}\times100\right)\%=150\%$. (iii) Required percentage $=\left(\frac{84}{7}\times100\right)\%=1200\%$. (iv) 1 metric tonne = 10 quintals. $\therefore$ Required percentage $=\left(\frac{40}{2\times10}\times100\right)\%=200\%$. (v) Required percentage $=\left(\frac{130}{6.5\times1000}\times100\right)\%=2\%$. (vi) 1 minute 10 seconds $=1\frac{10}{60}$ min $=1\frac{1}{6}$ min $=\frac{7}{6}$ min. Half an hour = 30 min. $\therefore$ Required percentage $=\left(\frac{7}{6}\times\frac{1}{30}\times100\right)\%=\left(\frac{35}{9}\right)\%=3.89\%$.
Explanation as extracted from the printed page; notation may be imperfect.