Madan’s salary is 25% of Ram’s salary is 40% of Sudin’s salary. If the total salary of all the three for a month is Rs 12000.How much did Madan earn that month ?

Options

A. a) Rs 800
B. b) Rs 8000
C. c) Rs 600
D. d) Rs 850

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Define the salaries
Let Sudin's salary be \( S \).

### Step 2: Express Ram's salary in terms of Sudin's salary
According to the problem, Ram's salary is 40% of Sudin's salary. Therefore:
\[ R = 0.4S \]

### Step 3: Express Madan's salary in terms of Ram's salary
Madan's salary is 25% of Ram's salary. Thus:
\[ M = 0.25R \]
Substituting the value of \( R \):
\[ M = 0.25 \times 0.4S = 0.1S \]

### Step 4: Write the total salary equation
The total salary of Madan, Ram, and Sudin is given as Rs 12000. Therefore:
\[ M + R + S = 12000 \]
Substituting the expressions for \( M \) and \( R \):
\[ 0.1S + 0.4S + S = 12000 \]

### Step 5: Combine like terms
Combining the terms on the left side:
\[ (0.1 + 0.4 + 1)S = 12000 \]
\[ 1.5S = 12000 \]

### Step 6: Solve for Sudin's salary
Now, divide both sides by 1.5 to find \( S \):
\[ S = \frac{12000}{1.5} = 8000 \]

### Step 7: Calculate Ram's salary
Now that we have \( S \), we can find Ram's salary:
\[ R = 0.4S = 0.4 \times 8000 = 3200 \]

### Step 8: Calculate Madan's salary
Finally, we can find Madan's salary:
\[ M = 0.25R = 0.25 \times 3200 = 800 \]

### Conclusion
Madan earned Rs 800 that month.

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