Question

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?

Answer 1

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

$\displaystyle \sf \frac{100x + 150x + 300x}{3} = 1100$

Step 2 of 2 :

Calculate amount of money Arun has

$\displaystyle \sf \frac{100x + 150x + 300x}{3} = 1100$

$\displaystyle \sf{ \implies } \frac{550x}{3} = 1100$

$\displaystyle \sf{ \implies }x = 1100 \times \frac{3}{550}$

$\displaystyle \sf{ \implies }x = 6$

∴ Amount of money Arun has

= Rs. 300x

= Rs. (300 × 6)

= Rs. 1800

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Answer 2

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.

       $\frac{(6X~+~3X~+~2X)}{3} = 1100$

 

      $\frac{11X}{3} = 1100$

       $x=\frac{1100}{11} \\\\X = 100$

∴ The total amount Arun has = 6X

                                                = 6 × 100

                                                = Rs 600

THANKS.

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