Four friends Robert, Thomas, Jack, and Mary works in the same factory and if their salary is as follows: Salary of Robert is less than Thomas and Thomas gets less than Thomas and Thomas gets less than Jack and Jack gets less than Jack and Jack gets less than Mary and the salary of Robert is Rs. 3600 , then find the salary received by Mary.

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Rs. 3500

Rs. 4000

Rs.

Rs. 4800

answer is C.

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Detailed Solution

Concept- Assume Thomas's annual salary is Rs. x. Robert's pay is 10% less than Thomas'. So, Robert's pay is Rs (x-10 percent of x) . However, Robert's pay is Rs. 3600. Now compare and calculate the value of x. Similarly, if Jack's salary is Rs. y. Thomas's pay is 25% less than Jack's, hence Thomas's compensation equals Rs (y-25 percent of y) . But first, we estimated Thomas's wage. Now, compare and calculate the value.
of y. Assume Mary's salary is Rs. z once more. Jack's pay is 20% less than Mary's income, hence Jack's salary is Rs (z-20 percent of z) . Finally, solve it further to determine the value of z.
According to the question, four buddies named Robert, Thomas, Jack, and Mary work at the same factory. Also, Robert's income is 10% less than Thomas', and Thomas' salary is 25% less than Jack's, and Jack's salary is 20% less than Mary's, and Robert's salary is Rs. 3600.
First of all, suppose the salary of Thomas is Rs. x……..(i)
Since Robert's salary is

less than that of Thomas so,
The salary of Robert Similarly, let us assume that the salary of Jack is Rs. y

.……..(ii)
However, Thomas's salary is Rs. 3600……….(iii)
Comparing equations (2) and (3) , we obtain

……….(iv)
Similarly, let us assume that the salary of Jack is Rs. y………(v)
Since, Thomas's salary is

less than that of Jack so,
The salary of Thomas = Rs.

………(vi)
But, from equation (iv) , we also have the salary of Thomas.
Now, on comparing equation (iv) and equation (vi) , we get

………(vii)
So, the salary of Jack is Rs.

Similarly, let us assume that the salary of Mary is Rs. z………….(viii)
Since Jack's salary is

less than that of Mary so,
The salary of Jack = Rs.

………….(ix)
But, from equation (vii) , we also have the salary of Jack.
Now, on comparing equation (vii) and equation (ix) , we get

So, the salary of Mary is Rs.

.
Hence, 3 is the correct option.

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