Question

A student scored 32% mark but failed by 39 marks.If he scored 48% marks ,he passed by 65 marks. Find passing percentage

Answer 1

Full mark = x

Pass mark = y

32% of x = y - 39

32x = 100y - 3900  ...............(1)

48x = 100y + 6500 ...............(2)

(2) - (1)

48x - 32x = 6500 - 3900

16x = 2600

x = 162.50

32 * 162.5 = 100y - 3900

100y = 5200 + 3900 = 9100

y = 91

Full mark = 162.50

pass mark = 91

percent of passmark = 91/162.5  x 100 = 55.39%