If 4A = 5B and 3A = 2C then the ratio of B : C is :

Posted on 02-02-2023

Ques - If 4A = 5B and 3A = 2C then the ratio of B : C is :

(a) 4 : 3

(b) 5 : 8

(c) 8 : 15

(d) 10 : 15

Solution -

Given,

4A = 5B

B = (4/5)A _________ (1)

3A = 2C

C = (3/2)A _________ (2)

For the ratio of b and c, Divide equation(1) by equation(2)

we get,

B/C = (4/5)A / (3/2)A

B/C = 8/15

Thus,

B : C = 8 : 15

Hence,

The correct answer is option (c) 8 : 15.

Thank You

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