Question

ram scored 48% marks in a test and he failed by 14 marks had he scored 51% marks in the same test , he would have passed by 7 marks. find the pass marks ?

Answer 1

he passed by 21 mark's is the correct answer

Answer 2

Ram scored 48% marks in a test. The pass mark is 350

Solution:

Given, Ram scored 48% marks in a test and he failed by 14 marks  

If had he scored 51% marks in the same test, he would have passed by 7 marks. We have to find the pass marks  

Let, the pass marks be “x”

Now, x = 48% of total marks + 14 marks.  

And x = 51% of total marks – 7 marks.

So, equate both the equations now

48% x total marks + 14 = 51% x total marks – 7

$\frac{48}{100} \times \text { total marks }+14=\frac{51}{100} \times \text { total marks }-7$

$\frac{51}{100} \times \text { total marks }-\frac{48}{100} \times \text { total marks }=14-7$

$\frac{51-48}{100} \times \text { total marks }=21$

$3 \times total marks = 21 \times 100$

$\text { Total marks }=\frac{2100}{3}=700$

Now, x = 48% of total marks + 14

$\begin{array}{l}{=\frac{48}{100} \times 700+14} \\\\ {=48 \times 7+14} \\\\ {=336+14=350}\end{array}$

Hence, the pass marks is 350