Question

The monthly salary of A,B, C is in the proportion of \[2:3:5\]. If C’s monthly salary is Rs.\[1200\] more than that of A, then B’s annual salary is
(A)Rs.\[14400\]
(B)Rs.\[24000\]
(C) Rs.\[1200\]
(D) Rs.\[2000\]

Answer 1

Hint: As the ratio of the salaries is given so take it as components as two components of total ten components are of A and three components of total ten components are of B and five components of total ten components are of C. Then equate the component of C to C salary and we get value for each component and then calculate salary of B.

Complete step-by-step answer:
The monthly salary of A,B, C is in the proportion of \[2:3:5\]. If C’s monthly salary is Rs. \[1200\] more than that of A.
Stepwise Solution:
Ratio of salary A, B, C is\[2:3:5\]
Let their salary isbe \[2x,{\text{ }}3x,{\text{ }}5x\]respectively
C’s salary is \[1200\] more than that of A
Salary of C = \[5x\]
Salary of A = \[2x\]
Now represent in mathematical form
\[
\Rightarrow 5x = 1200 + 2x \\
\Rightarrow 3x = 1200 \\
\Rightarrow x = 400 \;
 \]
Now salary of b = \[3x\]
Put \[x{\text{ }} = 400\]
We get
\[\Rightarrow 3x = 3 \times 400 = 1200\]
Hence, we find that B’s monthly salary is \[1200\]
As there are \[12\] months in a year so annual salary will be \[12\] times the monthly
Salary
Now the annual salary of B = \[1200 \times 12 = {\text{Rs}}{\text{. }}14400\].
Hence option A is correct.
So, the correct answer is “Option A”.

Note: First take care in salary calculation. Then take care that there is a monthly salary given as in ratio and the question is about annual salary. So multiply the monthly salary by $ 12 $ at last to adjust the units.