Question

Rehan gets a lumpsum amount on retirment. First, he spends 40% on buying a house,
and 30% of the remaining he spends on his daughter's marrjage. From the balance he invests 75% in a business and final the is left with 113820. How much amount does Rehan get on his retirement?

a) 1084000 b) 1506000 c) 1508400 d) 1284000 e) 1314500

Answer 1

The amount Rehan gets on his retirement is 1084000

Given :

• Rehan gets a lump sum amount on retirement .

• First, he spends 40% on buying a house

• 30% of the remaining he spends on his daughter's marriage.

• From the balance he invests 75% in a business and final the is left with 113820

To find :

The amount Rehan gets on his retirement

Solution :

Step 1 of 2 :

Form the equation

Let the amount Rehan gets on his retirement = 100x

First, Rehan spends 40% on buying a house

∴ Rehan spends on buying a house = 40x

∴ The remaining amount = 100x - 40x = 60x

Now Rehan spends 30% of the remaining on his daughter's marriage

∴ Rehan spends on his daughter's marriage

$\displaystyle \sf{ = 60x \: \times \frac{30}{100} }$

$\sf = 18x$

∴ The remaining amount = 60x - 18x = 42x

From the balance Rehan invests 75% in a business

Rehan invests in a business

$\displaystyle \sf{ = 42x \: \times \: \frac{75}{100} }$

$\displaystyle \sf{ = 31.5x }$

∴ The remaining amount = 42x - 31.5x = 10.5x

Since Rehan is left with 113820

By the given condition

10.5x = 113820

Step 2 of 2 :

Find the amount Rehan gets on his retirement

$\displaystyle \sf{ 10.5x = 113820 }$

$\displaystyle \sf{ \implies x = \frac{113820}{10.5}}$

$\displaystyle \sf{ \implies x =10840}$

So the amount Rehan gets on his retirement

= 100x

= 100 × 10840

= 1084000

Hence the correct option is a) 1084000

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Answer 2

Answer:

Rehan received a lumpsum of Rs. 1084000 upon his retirement.

Step-by-step explanation:

Given - A lumpsum is given to Rehan.
             40% of the lumpsum - house
             30% of the remaining - daughter's marriage
             75% of the remaining - business investment
             balance - 113830

To find - the lumpsum received

Solution -
To find the received lumpsum, we first form the equations based on the given situation.

Let us assume that the amount Rehan gets upon retirement is 100x.
Now, if he has spent 40% of it on the house, he has spent 40x. Thus, he is left with 60x.
Now, we are told that he spends 30% of the remaining in his daughter's marriage, which would be 18x.

Thus, he'd now be left with 42x.

He then invests 75% of the remaining in a business, which would be 31.5x.
He'd thus be left with 10.5x, which is said to be Rs. 113820

Now, we use the equations and the given value to arrive at the answer.

$10.5x = 113820\\\\x = \frac{113820}{10.5} \\\\x = 10840$

Thus, $100x = 10840 \times 100 = 1084000$

Thus, Rehan received Rs. 1084000 upon his retirement.

So the amount Rehan gets on his retirement

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