Question

Two numbers A and B are such that the sum of
5% of A and 4% of B is two-third of the sum of
6% of A and 8% of B. Find the ratio of A : B.
(a) 1 : 2 (b) 3 : 1
(c) 3 : 4 (d) 4 : 3

Answer 1

5A/100+4B/100=2/3(6A/100+8B/100)

solving this we get A/B=4/3

option d

Answer 2

Answer:

a : b = 4 : 3

Step-by-step explanation :

According to the given condition is the question :

Two numbers a and b are such that the sum of 5% of a and 4% of b is two-third of the sum of 6% of a and 8% of b

⇒ (5% of a) + (4% of b) = (2/3) × [(6% of a) + (8% of b)

⇒ 0.05a + 0.04b = 2/3 × (0.06a + 0.08b)

⇒ 0.15a + 0.12b = 0.12a + 0.16b

⇒ 0.03a = 0.04b

⇒ a/b = 4/3

⇒ a : b = 4 : 3