Question : The number of students in a class has increased by 20% and the number has now become 66. Initially, the number was:
Option 1: 45
Option 2: 50
Option 3: 55
Option 4: 60
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Correct Answer: 55
Solution : Given: The number of students in a class has increased by 20% and the number has now become 66. Let the initial number of students be $x$. According to the question, ⇒ $\frac{120x}{100} = 66$ ⇒ $x = 55$ Hence, the correct answer is 55.
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Question : A student's marks were wrongly entered as 65 instead of 45. Due to this, the average marks for the class got increased by $\frac{1}{3}$. The number of students in the class is:
Option 1: 40
Option 2: 20
Option 3: 60
Option 4: 30
Question : From 1980 to 1990, the population of the country increased by 20%. From 1990 to 2000, the population of the country increased by 20%. Over 2000-2010, the population of the country increased by 20%. Then, the overall increased population (in percentage) of the country from 1980 to 2010 was:
Option 1: 72.2%
Option 2: 60%
Option 3: 72.8%
Option 4: 62.8%
Question : A man spends 60% of his income on different items. His income has increased by 20% and his expenditure has also increased by 10%. Find the percentage increase in his savings.
Option 1: 10%
Option 2: 15%
Option 3: 20%
Option 4: 35%
Question : The ratio of expenditure to savings of a woman is 5 : 1. If her income and expenditure are increased by 10% and 20%, respectively, then find the percentage change in her savings.
Option 1: 55%
Option 3: 50%
Option 4: 40%
Question : The average mark obtained by a class of 60 students is 65. The average marks of half of the students were found to be 85. The average marks of the remaining students are:
Option 1: 35
Option 2: 45
Option 4: 65
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