The ratio of the incomes of A and B as well as of B and

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The ratio of the incomes of A and B as well as of B and C is 3 : 2. If one third of A’s income exceeds one fourth of C's income by ₹ 1000, what is B’s income in ?

1. 3000
2. 2500
3. 3500
4. 4000

Correct Option: A

A : B = 3 : 2 = 9 : 6
B : C = 3 : 2 = 6 : 4
∴ A : B : C = 9 : 6 : 4

∴	9x	−	4x	= 1000
	3		4

⇒ 3x – x = 1000
⇒ 2x = 1000
⇒ x = 500
∴ B’s income = 6x = 6 × 500
= ₹ 3000