
Aman gave of the amount he had to Rohan. Rohan in turn gave one-fourth of what he received from Aman to Sahil. After paying Rs. to the taxi driver out of the amount he got from Rohan, Sahil now has Rs. left with him. How much will Aman have.
(A) 4000
(B) 8000
(C) 12000
(D) Data inadequate
Answer
500.7k+ views
Hint: In this type of question we have to choose one person’s amount as variable “ ” and rest are calculated by converting all in the form of variable .
Complete step-by-step answer:
Let the amount with Aman be Rs. , because we have to find how much money Aman will have.
Now according to the question Aman gave of the amount he had to Rohan.
Amount received by Rohan = of
That is
Now amount received by Sahil is of Rohan’s amount
So total amount received by Sahil =
Total amount received by Sahil =
Now the question says that after giving Rs. to the taxi driver Sahil have Rs. as remaining amount
So
By using cross-multiplication in above equation
From this we get
And we choose as the amount of Aman, therefore we get an amount of Aman as Rs. .
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 . In this type of question do not take more than one variable that creates a solution complicated.
Complete step-by-step answer:
Let the amount with Aman be Rs.
Now according to the question Aman gave
Amount received by Rohan =
That is
Now amount received by Sahil is
So total amount received by Sahil =
Total amount received by Sahil =
Now the question says that after giving Rs.
So
By using cross-multiplication in above equation
From this we get
And we choose
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
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