1. Convert the following ratios to percentages:
(i) Adults to children in a town = 55:45
(ii) Pens to pencils in a pencil box = 6:4
(iii) Notebooks to textbooks in a bag = 12:10
(iv) Rasgullas to gulab jamuns in a tin = 2:3
(v) Boys to girls in a group = 7:5
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(vi) White socks to black socks in
drawer = 8:5
Answers
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Given:
(i) Adults to children in a town = 55:45
(ii) Pens to pencils in a pencil box = 6:4
(iii) Notebooks to textbooks in a bag = 12:10
(iv) Rasgullas to gulab jamuns in a tin = 2:3
(v) Boys to girls in a group = 7:5
(vi) White socks to black socks in drawer = 8:5
To find:
Convert the ratios to percentages
Solution:
From the given information, we have the data as follows.
(i) Adults to children in a town = 55:45
The percentage conversion is,
= 55/45 × 100/100
= 122 %
(ii) Pens to pencils in a pencil box = 6:4
The percentage conversion is,
= 6/4 × 100/100
= 150 %
(iii) Notebooks to textbooks in a bag = 12:10
The percentage conversion is,
= 12/10 × 100/100
= 120 %
(iv) Rasgullas to gulab jamuns in a tin = 2:3
The percentage conversion is,
= 2/3 × 100/100
= 66.67 %
(v) Boys to girls in a group = 7:5
The percentage conversion is,
= 7/5 × 100/100
= 140 %
(vi) White socks to black socks in drawer = 8:5
The percentage conversion is,
= 8/5 × 100/100
= 160 %
Therefore, we have,
(i) Adults to children in a town = 55:45 = 122 %
(ii) Pens to pencils in a pencil box = 6:4 = 150 %
(iii) Notebooks to textbooks in a bag = 12:10 = 120 %
(iv) Rasgullas to gulab jamuns in a tin = 2:3 = 66.67 %
(v) Boys to girls in a group = 7:5 = 140 %
(vi) White socks to black socks in drawer = 8:5 = 160 %