Arun has twice as much money as Eden. Eden has 50% more than Pramod has.average amount they have is Rs 1100. how much money does Arun have?
Answers
Arun has Rs. 1800
Given :
- Arun has twice as much money as Eden.
- Eden has 50% more than Pramod has.
- Average amount they have is Rs. 1100
To find :
The amount of money Arun has
Solution :
Step 1 of 2 :
Form the equation to calculate the amount of money of Arun
Let amount of money Pramod has = Rs. 100x
Since Eden has 50% more than Pramod has
∴ Amount of money Eden has = Rs. 150x
Since Arun has twice as much money as Eden
∴ Amount of money Arun has = Rs. 300x
Again average amount they have is Rs. 1100
By the given condition
Step 2 of 2 :
Calculate amount of money Arun has
∴ Amount of money Arun has
= Rs. 300x
= Rs. (300 × 6)
= Rs. 1800
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GIVEN:-
Arun has twice as much money as Eden. Eden has 50% more than Pramod has.
Average amount they have is Rs 1100.
TO FIND:-
How much money does Arun have?
SOLUTION:-
As per given data ,
Let Pramod has total money = 2X.
And Eden has 50% more of Pramod = ( 50% of 2X ) + 2X
= X + 2X.
= 3X.
And again Arun has twice as much as Eden = 2 × 3X
= 6X.
∵ average of all amount they have = Rs 1100.
∴ The total amount Arun has = 6X
= 6 × 100
= Rs 600
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