A sum of ₹5100 is divided amongst A, B and C, such that the ratio of shares of A and B is 1 : 2 and that of B and C is 3 : 4. Find the sum of the shares of A and B.
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → ₹2700
The two ratios share B, so they are joined into one ratio A : B : C by making B’s share the same number in both; the LCM of 2 and 3 is 6.
A : B \(=1:2=3:6\)
B : C \(=3:4=6:8\)
A : B : C \(=3:6:8\), a total of 17 parts
One part \(\displaystyle =\frac{5100}{17}=300\)
A and B together have \(3+6=9\) parts: \(9\times300=2700\)