mohan gives 35℅of his savings to his wife.30℅,25℅,25℅,of the remaining gives to the three children.90℅of the remaining gives to a hospital still he has rs.6500,find mohan's savings.
Answers
Answer:
let Mohan's savings be = x
savings given to wife:
35/100 * x = 35x/100 [35% of savings]
remaining savings now = x - 35x/100 = 100x/100 - 35x/100 = 65x/100
savings given to children:
a = 30/100 * 65x/100 = 1950x/10000 [30% of remaining savings]
b = 25/100 * 65x/100 = 1625x/10000 [25% of remaining savings]
c = 25/100 * 65x/100 = 1625x/10000 [25% of remaining savings]
a + b + c = 1950 + 1625 + 1625 / 10000 = 5200x/10000 = 52x/100
remaining savings now = 65x/100 - 52x/100 = 13x/100
savings given to hospital:
90/100 * 13x/100 = 1170x/10000 = 11.7x/100 [90% of remaining savings]
remaining savings = 13x/100 - 11.7x/100 = 1.3x/100
given: Mohan has Rs. 6500 left.
Thus, 1.3x/100 = 6500
1.3x = 6500* 100
1.3x = 650000
x = 650000/1.3
x = 6500000/13
x = 500000
Therefore, Mohan's total savings are Rs. 500000 or 5 lakh rupees.