If a:b = 2:3 and b:c = 4:3, then find a:b:c

Answer: Option C

Explanation:

Treat 2:9 as 2/9 and x:18 as x/18, treat :: as =

So we get 2/9 = x/18
=> 9x = 36
=> x = 4

Answer: Option A

Explanation:

In this type of question, we will first try to calculate the ratio of two persons. Once we get ratio then we can easily get our answer. So lets solve this.

$$\begin{aligned} \frac{4}{15}A = \frac{2}{5}B \\ A = \left(\frac{2}{5}*\frac{14}{4}\right)B \\ A = \frac{3}{2}B \\ \frac{A}{B} = \frac{3}{2} \\ A:B = 3:2 \\ \text{B's Share = }\frac{2}{5}*1210 = 484 \end{aligned}$$

Answer: Option A

Explanation:

$$\begin{aligned} a:b = 2:3 \\ b:c = 4:3 = (4*\frac{3}{4} : 3*\frac{3}{4}) \\ = 3:\frac{9}{4} \\ a:b:c = 2:3:\frac{9}{4} \\ = 8:12:9 \end{aligned}$$

Answer: Option B

Explanation:

$$\begin{aligned} A:B = 2:3 \\ B:C = 4:5 = (4*\frac{3}{4} : 5*\frac{3}{4}) \\ = 3:\frac{15}{4} \\ C:D = 6:7 = (6*\frac{15}{24} : 7*\frac{15}{24}) \\ = \frac{15}{4}:\frac{35}{8} \\ A:B:C:D = 2:3:\frac{15}{4}:\frac{35}{8} \\ = 16:24:30:35 = 8:12:9 \end{aligned}$$

Answer: Option D

Explanation:

Let the first number is A and second number is B.

As per question

$$\begin{aligned} \frac{40}{100}A = \frac{2}{3}B \\ \frac{A}{B} = \frac{2}{3}*\frac{100}{40} \\ \frac{A}{B} = \frac{5}{3} \\ => A:B = 5:3 \end{aligned}$$