Instructions

The following table gives the marks obtained by six students in six different subjects in an examination.

The maximum marks for each subject are given in the brackets.

Question 70

# What percentage is the total marks obtained by Lokesh and Summit in Hindi, English and Maths of the total marks obtained by Aman and Kartik in Economy, Accountancy and Geography correct to one decimal place)?

Solution

Marks obtained by Lokesh and Sumit in Hindi, English and Maths = (55+115+60) + (75+85+75) = 465

Marks obtained by Aman and Kartik in Economy, Accountancy and Geography would be (100+120+90) + (95+100+80) = 585

We are to find out what percentage of the second number is approximately the first number.
We calculate this using$$\frac{465}{585}\times\ 100=\frac{31}{39}\times\ 100$$

The denominator is very close to 40, approximating the denominator to be 40; we get the percentage value to be 77.5%

Since we have approximated up the denominator, the value which we have gotten is actually smaller than the real value. Therefore, the real value would be a little higher than 77.5%

Of the given options, only 78.8% satisfy our requirements.

Therefore, Option C is the correct answer.