Exercise 8C
Question 1
What percentage is:
(a) 7 of 70?
Sol :
$=\left(\frac{7}{70}\times 100\right)$%
=10 %
(b) 8 of 32?
Sol :
$=\left(\frac{8}{32}\times 100\right)$%
=25%
(c) 19 of 25?
Sol :
$=\left(\frac{19}{25}\times 100\right)$%
=76%
(d) 117 of 650?
Sol :
$=\left(\frac{117}{650}\times 100\right)$%
=18%
(e) 180 of 300?
Sol :
$=\left(\frac{180}{300}\times 100\right)$%
=60%
(f) 850 of 3400?
Sol :
$=\left(\frac{850}{3400}\times 100\right)$%
=25%
(g) 780 of 1950?
Sol :
$=\left(\frac{780}{1450}\times 100\right)$%
=40%
(h) 27 of 9?
Sol :
$=\left(\frac{27}{9}\times 100\right)$%
=300%
Question 2
What percent is:
(a) 40 paise of Rs. 8
Sol :
∴$\left(\frac{40}{800}\times 100\right)$%
=5%
(b) Rs. 5.10 of Rs. 6?
Sol :
$=\left(\frac{5.10}{6}\times 100\right)$%
$=\left(\frac{510}{6\times 100}\times 1000\right)$%
=85%
(c) 400 ml of 1 L?
Sol :
∴$\left(\frac{400}{1000}\times 100\right)$%
=40%
(d) 8.24 cm of 8 m?
Sol :
$\left(\frac{8.24}{800}\times 100\right)$% [8m=800cm]
$=\left(\frac{824}{800\times 100}\times 100\right)$%
=1.03%
(e) 6 s of 10 min?
Sol :
∴$\left(\frac{6}{600}\times 100\right)$%
=1%
(f) 18 h of 1 day?
Sol :
∴$\left(\frac{18}{24}\times 100\right)$%
=75%
(g) 900 kg of 1.5 tonne?
Sol :
∴$\left(\frac{900}{1500}\times 100\right)$ [1.5 tonne=1500 kg]
=60%
Question 3
18 karat gold is a mixture of gold and another metal. 18 out of 24 parts are pure gold. Express the pure gold as a percentage of the the total.
Sol :
∴Percentage of pure gold in the mixture$=\left(\frac{18}{24}\times 100\right)$%
=75%
Question 4
A CD ROM has 700 megabytes of storage space. What per cent of the space is used by a file, that take up 154 megabytes?
Sol :
∴Percentage of space$=\left(\frac{154}{700}\times 100\right)$%
=22%
Question 5
As per 2011 census, the population of Sikkim is 6,10,577 of which 3,23,070 are males. What percent of the total population of Sikkim are females? [You may use calculator for calculations].
Sol :
∴Percentage of females of total population
$=\left(\frac{610577-323070}{610577}\times 100\right)$%
$=\frac{287507}{610577}\times 100$%
=47.08
≃47.1
Very best
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