Ramya scored 65% of the marks in an examination and scored 75 marks more than the passing marks and Reena scored 38% marks and failed by 6 marks. If the total marks scored by Ramya, Reena and Raja together is 459, then find the percentage of the marks scored by Raja.
Answers & Comments
Answer:
50%
Step-by-step explanation:
Let the total number of marks be x
Ramya = 65/100*x -75
Reena = 38/100*x + 6
Now let's equate both of them to get the value of x as it is the same in both equations
65/100x - 75 = 38/100*x + 6
65/100x - 38/100x = 6 + 75
27/100x = 81
x = 81*100/27
x = 300
Now we know that the total number of marks is 300
so now let's calculate the marks of Ramya = 65/100x - 75
= 65/100 * 300
= 65*3
=195
Now let's calculate the marks of Reena = 38/100*x + 6
= 38/100*300 + 6
= 38*3
=114
So, 114 + 195 + Marks of Raja = 459
314+ Marks of raja = 459
Marks of Raja = 459 - 309
= 150
% of Raja's marks = 150/300*100
= 50%