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Question

Mathematics Question on Ratio and Proportion

There are a total of 43800 students in 4 schools of a city. Half the number of students of the first school, two-thirds of the second, three-fourth of the third and four-fifths of the fourth are all equal. What is the ratio of the number of students of A to D, if A, B, C and D be the first, second, third and fourth schools,respectively?

A

8 : 5

B

1 : 3

C

2 : 3

D

7 : 9

Answer

8 : 5

Explanation

Solution

Given,

Total number of students in 4 schools of a city = 43,800 and

12(A)=23(B)=34(c)=45(c)\frac{1}{2}(A)=\frac{2}{3}(B)=\frac{3}{4}(c)=\frac{4}{5}(c)

A:B=4:3A:B=4:3 and

B:D=6:5B:D=6:5

Now, A:B:D=8:6:5A:B:D=8:6:5

A:D=8:5A:D=8:5

Hence, option A is the correct answer.The correct option is (A): 8 : 5