mukharjee gave 5/14 of his
money to his son 2/3
of the remainder to his
daughter and the rest to his
wife. if his wife got Rs 36000
what was the total amount.
Answers
ANSWER
Let the total money be x.
Therefore , Mr. Mukherjee gave 5/14 of money to his son = 5/14 of x = 5x/14
Mr. Mukherjee gave 2/3 of remaining to his daughter.
So, remaining money = x - 5x/14
=( 14x - 5x )/14
= 9x/14
He gave 2/3 of remaining I.e.
2/3 of 9x/14
= 2/3 × 9x/14
=3x/7
According To Question , when we form equation it is -
x - (5x/14 + 3x/7) = 36000
or, x - {(5x + 6x )/14} = 36000
or, x - 11x/14 = 36000
or, (14x - 11x)/14 = 36000
or, 3x / 14 = 36000
or, 3x = 36000 × 14
or , x = (36000×14)/3
or, x = 12000×14
or, x = 168000
So, he gave 5/14 of it to his son I.e.
5/14 of 168000
= 5/14 × 168000
= 60000
He gave 2/3 of remaining to his daughter -
remaining = 168000-60000
= 108000
2/3 of 108000 = 2/3 × 108000
= 72000
Her wife got 36000
Sum -
60000+72000+36000 = ₹168000
Hence , verified also.
Answer) Total amount of money was ₹168000
Answer:
168000
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