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6. If 60% of people in the city like cricket, 30% football and the remaining like other games, then what percent of the people like other games? If the total number of people is 50 lakh, find the exact number who like each type of game.

Given,   Total number of people = 50 lakhs Percentage of people who like cricket = 60% Percentage of people who like football = 30% Since remaining people like other games,  Percentage of people who like other games = {100 - (60 + 30) } = (100 - 90) = 10% 10% of the people like other games. Now,    Number of people who like cricket = 60% of 50 lakhs  Number of people who like football = 30% of...

5  If Chameli had Rs 600 left after spending 75% of her money, how much did she have in the beginning?

Let the amount of money Chameli had in the beginning = Rs. X She spends 75% of the money.  Percentage of money left = (100 - 75)% = 25% Since she has Rs. 600 left.  25% of X = 600 X =2400 Therefore, Chameli had Rs. 2400 with her in the beginning.

4   A football team won 10 matches out of the total number of matches they played. If their win percentage was 40, then how many matches did they play in all?

Given, Win percentage of the team = 40% This means that they won 40 matches out of 100 matches played.  They won 10 matches out of   = 25 matches played. Therefore, they played a total of 25 matches in all.

3  72% of 25 students are interested in mathematics. How many are not interested in mathematics?

Given; 72% of 25 students are interested in mathematics  Percentage of students not interested in mathematics = (100 - 72)% = 28 %  The number of students not interested in mathematics = 28% of 25 Therefore, 7 students (out of 25) are not interested in mathematics.

2 Convert the following ratios to percentages.

(b) $2:3$

To convert a ratio to a percentage, we multiply the ratio by 100%.  The required percentage of ratio 2:3 =

2      Convert the following ratios into percentages.

(a) $3:4$

To convert a ratio to a percentage, we multiply the ratio by 100%.  The required percentage of the ratio 3:4 =

1.  Find the ratio of the following.

(c) 50 paise to Rs. 5

To find the ratio, we first make the quantities of the same unit. We know, Rs. 1 = 100 paisa.  Rs. 5 = 5x100 = 500 paisa Therefore, the required ratio =   = 1:10

1. Find the ratio of the following.

(b) 5m to 10km

To find the ratio, we need to make both quantities of the same unit. We know, 1 km = 1000 m.   10 km = 10x1000 m = 10000 m Therefore the required ratio =   = 1 : 2000

1. Find the ratio of the following.

(a) Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour.

The ratio of the speed of cycle to the speed of scooter =  = 1:2
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