The ratio of marks obtained by Ashpreet and Bhupinder on

an exam is 6 : 5. If the combined average of their percentage scores is

68.75%, and the sum of their marks is 275, what was the exam out of?

Let the marks the exam was out of be z. Let Ashpreet's mark out of z be x and Bhupinder's mark out of z be y.

Hence, x/z x 100 is Ashpreet's percentage and y/z x 100 is Bhupinder's percentage. 68.75% is equivalent to 0.6875, so we can set up the equation: (x/z + y/z)/2 = 0.6875. Multiplying both sides by 2, x/z + y/z = 1.375.

We know the total marks is 275, and since the common denominator is z x/z + y/z can become (x+y)/z. x+y is 275, so rearranging the equation:

275/z = 1.375
275=1.375z
z=275/1.375
z=200.

The exam was out of 200.