400 students took a mock exam in Delhi. 60% of the boys and 80% of the girls cleared the cut off in the examination. If the total percentage of students qualifying is 65%, how many girls appeared in the examination?

100

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

120

No worries! We‘ve got your back. Try BYJU‘S free classes today!

150

No worries! We‘ve got your back. Try BYJU‘S free classes today!

300

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 100
The ratio of boys and girls appearing for the exam can be seen to be 3 : 1 using the following alligation figure.

This means that out of 400 students, there must have been 100 girls who appeared in the exam.

Conventional Approach:
Let the number of boys be 'x'.
Then, 0.6x + 0.8(400-x) = 0.65(400)
x = 300
Hence, number of girl students appeared in the exam = 400 - 300 = 100.

Suggest Corrections

Similar questions

2500

1100

50 %

40 %

1800

900

42 %

30 %

1200

650

70

40

Join BYJU'S Learning Program