Question

Aman gave $40\mathrm{\%}$ of the amount he had to Rohan. Rohan in turn gave one-fourth of what he received from Aman to Sahil. After paying Rs. $200$ to the taxi driver out of the amount he got from Rohan, Sahil now has Rs. $600$ left with him. How much will Aman have.
(A) 4000
(B) 8000
(C) 12000
(D) Data inadequate

Answer 1

Hint: In this type of question we have to choose one person’s amount as variable “$X$” and rest are calculated by converting all in the form of variable $X$.

Complete step-by-step answer:
Let the amount with Aman be Rs. $X$, because we have to find how much money Aman will have.
Now according to the question Aman gave $40\mathrm{\%}$ of the amount he had to Rohan.
Amount received by Rohan = $40\mathrm{\%}$ of $X$
That is ${\displaystyle \frac{40\times X}{100}}$
Now amount received by Sahil is ${\displaystyle \frac{1}{4}}$of Rohan’s amount
So total amount received by Sahil = ${\displaystyle \frac{1}{4}}\times {\displaystyle \frac{40\times X}{100}}$
 Total amount received by Sahil = ${\displaystyle \frac{X}{10}}$
Now the question says that after giving Rs.$200$ to the taxi driver Sahil have Rs.$600$as remaining amount
So $600+200={\displaystyle \frac{X}{10}}$
$800={\displaystyle \frac{X}{10}}$
By using cross-multiplication in above equation
From this we get $X=8000$
And we choose $X$ as the amount of Aman, therefore we get an amount of Aman as Rs.$8000$.
Option B is the correct answer.

Note:This is the basic question of linear equations in one variable. Linear equations in one variable are always in the form of $$ax+b=c$$. In this type of question do not take more than one variable that creates a solution complicated.