Answer

Verified

361.8k+ views

**Hint:**Assume that the salary of Thomas is Rs. x. Robert’s salary is 10% less than that of Thomas. So, the salary of Robert = Rs. (x-10% of x). But the salary of Robert is Rs. 3600. Now, compare and get the value of x. Similarly, assume that the salary of Jack is Rs. y. Thomas’s salary is 25% less than that of Jack so, the salary of Thomas = Rs. (y-25% of y). But earlier we calculated the salary of Thomas. Now, compare and get the value of y. Again, assume that the salary of Mary is Rs. z. The salary of Jack is 20% less than that of Mary so, the salary of Jack is Rs. (z-20% of z). At last, solve it further and get the value of z.

**Complete step-by-step solution**

According to the question, we are given that there are four friends Robert, Thomas, Jack, and Mary work in the same factory. Also, the Salary of Robert is 10% less than Thomas and Thomas gets 25% less than Jack and Jack gets 20% less than Mary and the salary of Robert is Rs. 3600.

First of all, let us assume that the salary of Thomas is Rs. x …………………………………………(1)

Since Robert’s salary is 10% less than that of Thomas so,

The salary of Robert = Rs. (x-10% of x) = Rs. \[x-\dfrac{10x}{100}=\dfrac{90x}{100}=\dfrac{9x}{10}\] ………………………………………………(2)

But we are given the salary of Thomas which is equal to Rs. 3600 ……………………………(3)

On comparing equation (2) and equation (3), we get

\[\begin{align}

& \Rightarrow \dfrac{9x}{10}=3600 \\

& \Rightarrow x=\dfrac{3600\times 10}{9} \\

& \Rightarrow x=400\times 10 \\

\end{align}\]

\[\Rightarrow x=4000\]

So, the salary of Thomas is Rs. 4000 ……………………………………..(4)

Similarly, let us assume that the salary of Jack is Rs. y …………………………………………………..(5)

Since, Thomas’s salary is 25% less than that of Jack so,

The salary of Thomas = Rs. (y-25% of y) = \[y-\dfrac{25y}{100}=\dfrac{75y}{100}=\dfrac{3y}{4}\] ………………………………………………..(6)

But, from equation (4), we also have the salary of Thomas.

Now, on comparing equation (4) and equation (6), we get

\[\begin{align}

& \Rightarrow 4000=\dfrac{3y}{4} \\

& \Rightarrow y=\dfrac{4000\times 4}{3} \\

\end{align}\]

\[\Rightarrow y=\dfrac{16000}{3}\]

So, the salary of Jack is Rs. \[\dfrac{16000}{3}\] ……………………………………..(7)

Similarly, let us assume that the salary of Mary is Rs. z …………………………………………………..(8)

Since Jack’s salary is 20% less than that of Mary so,

The salary of Jack = Rs. (z-20% of z) = \[z-\dfrac{20z}{100}=\dfrac{80z}{100}=\dfrac{4z}{5}\] ………………………………………………..(9)

But, from equation (7), we also have the salary of Jack.

Now, on comparing equation (7) and equation (9), we get

\[\begin{align}

& \Rightarrow \dfrac{16000}{3}=\dfrac{4z}{5} \\

& \Rightarrow z=\dfrac{16000\times 5}{3\times 4} \\

& \Rightarrow z=\dfrac{20000}{3} \\

\end{align}\]

**Therefore, the salary of Mary is Rs. \[\dfrac{20000}{3}\]. Hence, the correct option is (E).**

**Note:**Whenever this type of question appears, where the salary of one person is given in terms of the salary of another person. Always approach this type of question by assuming the salary of one person in terms of a variable x. This will reduce complexity.

Recently Updated Pages

The branch of science which deals with nature and natural class 10 physics CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Define absolute refractive index of a medium

Find out what do the algal bloom and redtides sign class 10 biology CBSE

Prove that the function fleft x right xn is continuous class 12 maths CBSE

Find the values of other five trigonometric functions class 10 maths CBSE

Trending doubts

How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

Why is the adrenaline hormone called fight or flight class 11 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Differentiate between lanthanoids and actinoids class 12 chemistry CBSE

What is the color of ferrous sulphate crystals? How does this color change after heating? Name the products formed on strongly heating ferrous sulphate crystals. What type of chemical reaction occurs in this type of change.

Give 10 examples of unisexual and bisexual flowers

Open circulatory system is present in I Arthropods class 12 biology CBSE

Name the highest peak of the Indian Himalayas class 8 social science CBSE