Mr. mukherjee gave 5/14 of his money to his son,2/3 of the remainder to his daughter and rest to his wife. if his wife got rupees 36000,what was the total amount
Answers
5/14 + 2/3= 15/42 + 28/42
=43/42
43/42+36000
43/42+1512000/42=1512043/42
Hope it helps! !
Answer:
Step-by-step explanation:
Saanvipriya avatar
Saanvipriya
04.06.2017
Math
Secondary School
+5 pts
Answered
Mr. Mukherjee gave 5/14 of his money to his son, 2/3 of the remaining to his daughter and the rest to his wife. If his wife got Rs. 36000, what was the total amount?
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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