RD Sharma solution class 7 chapter 11 Percentage Exercise 11.1

Exercise 11.1

Page-11.3

Question 1:

Express each of the following per cents as fractions in the simplest forms:
(i) 45%
(ii) 0.25%
(iii) 150%
(iv) $6\frac{1}{4}\%$

Answer 1:

(i) 45% =  45/100 = 9/20
(ii) 0.25% =  0.25/100 = 25/10000 = 5/2000 = 1/400
(iii) 150% = 150/100 = 15/10 = 3/2
(iv) $6\frac{1}{4}\%=\frac{25}{4}÷100=\frac{25}{100\times 4}=\frac{1}{16}$

Question 2:

Express each of the following fractions as a per cent:
(i) $\frac{3}{4}$
(ii) $\frac{53}{100}$
(iii) $1\frac{3}{5}$
(iv) $\frac{7}{20}$

Answer 2:

(i) $\left(\frac{3}{4}\times 100\right)\%=75\%$
(ii) $\left(\frac{53}{100}\times 100\right)\%=53\%$
(iii) $1\frac{3}{5}=\left(\frac{8}{5}\times 100\right)\%=160\%$
(iv) $\left(\frac{7}{20}\times 100\right)\%=35\%$

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