The marks scored by a boy in three subjects are in the ratio 3 : 4 : 8. Boy scored an overall aggregate of 60% in the exam. If the maximum marks in each subject are the same, in how many subjects did boy score more than 75% marks?
Let the maximum marks in each subject be 100. ∴ Total score = 60% of (100 + 100 + 100) = 60% of (300) = 180 Also, 75% marks in a subject correspond to 75% of (100) = 75 Let a boy have scored 3x, 4x and 8x in the three subjects. ∴ 3x + 4x + 8x = 180 ∴ 15x = 180 i.e. x = 12 Hence, his marks in the three subjects are 36, 48 and 96. Hence, he has scored more than 75 in exactly one subject.
I. 22x² - 97x + 105 = 0
II. 35y² - 61y + 24 = 0
I. 4x² - 21 x + 20 = 0
II. 8y² - 22 y + 15 = 0
I. 7x² + 27x + 18 = 0
II. 19y² - 27y + 8 = 0
I. 10p² + 21p + 8 = 0
II. 5q² + 19q + 18 = 0
I. 14p2 – 135p + 81 = 0
II. 7q2 – 65q + 18 = 0
I. 5x2 – 18x + 16 = 0
II. 3y2 – 35y - 52 = 0
I. 2y2+ 13y + 15 = 0
II. 2x2+ 11 x + 12 = 0
I. 2x2 + 3x - 9 = 0
II. 3y2 - y - 10 = 0
I. 2y2– 19y + 35 = 0
II. 4x2– 16x + 15 = 0
I. x2 - 9x - 52 = 0
II. y2 - 16y + 63 = 0
