*75. The total number of students in two schools A andB are 990. If the number of students of school Aisdecreased by 5% and the number of students ofschool B is increased by 14%, the number ofstudents of the schools will becomes equal. Theratio of the students of school A and B is.(a) 115:83 (b) 56:43 (c) 5:4 (d) 6:5
Answers
Answered by
5
Answer:6:5
Step-by-step explanation:
let the no. of students be x in a and b in y
so x + y = 990
x = 990 - y (1)
and according to question,
x - 5x/100 = y + 14y / 100
⇒19x /20 = 57y / 50
on multiplying the equation by 10
⇒19x/2 = 57y/5
⇒5(19x) = 2(57y)
⇒95x =114y (2)
on using substitution method,
95(990 - y)= 114y
⇒114y = 94050 - 95y
⇒114y + 95y = 94050
⇒209y = 94050
⇒ y = 450
now,
x = 990 - y
⇒ x = 990 - 450
= 540
ratio = 540/450
= 6/5
Answered by
8
Answer:
Step-by-step explanation:
1. A is decreased by 5%=A(95%)
2. B is increased by 14%=B(114%)
A/B =114/95
A/B=6/5(19*6/19*5)
therefore 6:5 ans...
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