Question 22232
1)
Here, you need to compare 12/20 with 10/15.
To do this, you must re-write the fractions with a common denominator.

First, it might be helpful to reduce the fraction to their simplest forms.

{{{12/20 = 3/5}}}
{{{10/15 = 2/3}}}

Now re-write each fraction with a common denominator of 15.

{{{3/5 = 9/15}}}
{{{2/3 = 10/15}}} Ok, so we really didn't need to simplify this fraction.

Now compare: {{{9/15}}} with {{{10/15}}}

Kavita's performance was better in science {{{10/15}}} than it was in maths {{{9/15}}}

2)
The number of boys (30) plus the number of girls (20) means that there was a total of 50 pupils in the class.

The percentage of boys is is given by: [(# of boys)/(# of pupils)]*100

The percentage of boys is: {{{(30/50)*100 = 60}}}%

Similarly, the percetage of girls is given by: [(# of girls/# of pupils)*100]

The percentage of girls is: {{{(20/50)*100 = 40}}}%

3) 
The employee saves 10% of Rs 1800.  Change the percentage to its decimal equivalent: 10% = 0.1 and multiply this by 1800 to find the employee's savings.

{{{(0.1)(1800) = 180}}}

The employee saves Rs 180

4)
Earnings per month = Rs 4750
Earnigs per year = Rs 4750 /month * 12 months /year = Rs 57000/year
Earning for 12 years = Rs 57000/year * 12 years = Rs 684000 in 12 years.

5)
The agent receives 5% of Rs 96000.  Change the percent to its decimal equivalent: 5% = 0.05 and multiply this by 96000 to find the agent's fee.

{{{(0.05)(96000) = 4800}}}

The agent receives Rs 4800