Question

A earns 50% of B's salary, B earns 80% of C's salary. If the total earnings for a month is Rs. 22000, then what is the earning for A ?
A) Rs. 4000
B) Rs. 4200
C) Rs. 4400
D) Rs. 4600

Answer 1

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Here is your answer.
Let the salary of C is x
Salary of B is
80% of x
$= \frac{80}{100} \times x \\ = \frac{4x}{5}$
Now Salary of A is 50% of B
$= \frac{50}{100} \times \frac{4x}{5} \\ = \frac{2x}{5}$
ATQ
$\frac{2x}{5} + \frac{4x}{5} + x = 22000 \\ \frac{2x + 4x + 5x}{5} = 22000 \\ 11x = 22000 \times 5 \\ x = \frac{22000 \times 5}{19} \\ x = 10000$
Salary of A is
$\frac{2x}{5} \\ = \frac{2 \times 10000}{5} \\ = 4000$
Hence the Salary of A is Rs 4000

Option (A) 4000 is your answer
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