Question

Write 'T' for true and 'F' for false

(i) $\frac{3}{4}$ as rate per cent is 75%
(ii) $12\frac{1}{2}\%$ expressed as a fraction is $\frac{1}{8}.$
(iii) 2 : 5 = 25%
(iv) 80 % of 450 = 360.
(v) 20% of 1 litre = 200 mL.

Answer 1

(i) True (T)
Justification: $\left(\frac{3}{4}\times 100\right)\%$ = 75%

(ii) True (T)
Justification: $12\frac{1}{2}\%=\frac{25}{2}\%$ = $\left(\frac{25}{2\times 100}\right)=\frac{1}{8}$

(iii) False (F)
Justification: $\frac{2}{5}$ = $\left(\frac{2}{5}\times 100\right)$% = $\left(2\times 20\right)\%$ = 40%

(iv) True (T)
Justification: 80% of 450 = $\left(\frac{80}{100}\times 450\right)=\left(\frac{80\times 9}{2}\right)=\left(40\times 9\right)=360$

(v) True (T)
Justification: 20% of 1 L = 20% of 1000 mL
= $\left(\frac{20}{100}\times 1000\right)$ mL = 200 mL