# A man gave 35% of his money to his elder son and 40% of the remainder to his younger son. If he is left with Rs.23400, find how much money did he have originally?

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• 1

salary given t0 elder son = 35%

salary given to younger son = 40 %

it is given that he is left with rs 23400 which is 25% of his salary

so let his orignal salary be X

23400 = x - (x * 25/100)

23400 = x - 25x/100

23400 = 100x - 25x /100

23400= 75x /100

x = 23400 * 100 / 75

after cutting u get

7800 * 4

= rs 31200

so his orignal salary was rs 31200

• 0

hope i was able 2 solve your query....thumps up....if  it helps...!!

• 0

sorry but its wrong. In our book its given 60000.

• -1

but how can it be 6000 if after spending he was left with 23400

• 0

not 6000, 60000.

• -3

Dear friend, don't worry . There is a minor error in your calculation. The answer in your book is correct. please refer to the answer below. Hope it will help to clear your doubt. all the very best for IMO tomorrow.

• 1

ANS: Let the salary earned by the man be x

So he gave  to the elder son  = 35% of x

He is left with ( x-35x/100)= 65x/100

The salary given to younger son is (65x/100 )(40/100)=26x/100

He is left with 65x/100 -26x/100 =39x/100

It is given that he is left with Rs 23400 = 39x/100

Therefore39x/100 = 23400

ð  X = 23400*100/39 =Rs 60000

Therefore, he had originally Rs 60000

• 10
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