The ratio of the income of A and B as well as B and C is 3 : 2. If one - third of A's income exceeds one - fourth of C's income by Rs. 1000, what is B's income in Rs = ?
A. Rs. 3000
B. Rs. 2500
C. Rs. 3500
D. Rs. 4000
Answer: Option A
Solution(By Examveda Team)
Given,A : B = 3 : 2
B : C = 3 : 2
Equal the value of B in both equation
A : B = 3 : 2 (multiply with 3) and
B : C = 3 : 2 (multiply with 2)
i.e. A : B = 9 : 6 and
B : C = 6 : 4
∴ A : B : C = 9 : 6 : 4
Now $$\frac{A}{3}$$ - 1000 = $$\frac{C}{4}$$
i.e. $$\frac{9x}{3}$$ - 1000 = $$\frac{4x}{4}$$
⇒ 3x - 1000 = x
⇒ x = 500
∴ Income of B is = 6x = 6 × 500 = 3000
Related Questions on Ratio
If a : b : c = 3 : 4 : 7, then the ratio (a + b + c) : c is equal to
A. 2 : 1
B. 14 : 3
C. 7 : 2
D. 1 : 2
If $$\frac{2}{3}$$ of A=75% of B = 0.6 of C, then A : B : C is
A. 2 : 3 : 3
B. 3 : 4 : 5
C. 4 : 5 : 6
D. 9 : 8 : 10
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