Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increased by Rs 4000, the new ratio becomes 40:57. What is Sumit present salary.

Answer: Option D

Explanation:

$$\begin{aligned} a:b = 2:3 \\ b:c = 5:8 = (5*\frac{3}{5} : 8*\frac{3}{5}) \\ = 3:\frac{24}{5} \\ a:b:c = 2:3:\frac{24}{5} \\ = 10:15:24 \\ b = 98*\frac{15}{49} \\ = 30 \end{aligned}$$

Answer: Option C

Explanation:

2:3 :: 6:x

=> 2/3 = 6/x
=> x = 18/2
=> x = 9

Answer: Option D

Explanation:

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

As per question

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

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 D

Explanation:

From question, lets assume that two numbers are 3x and 5x.

$$\begin{aligned} \text{then, }\frac{3x - 9}{ 5x - 9} = \frac{12}{23}\\ => \text{23(3x - 9) = 12(5x - 9)}\\ => 9x = 99 \\ => x = 11 \end{aligned}$$
So numbers are 3(11) = 33, 5(11) = 55.
Smaller number is 33.