Raja gave 30% of his salary to his mother, 40% of the remaining salary, he invest in an insurance scheme and ppf in the ratio of 4:3 and the remaining he keeps in his bank account. If the difference between the amount he gives to his mother and that he invest in insurance scheme is RS. 8400. How much is raja's salary?
A) RS.60,000 B) RS. 62,000 C) RS. 64,000 D) RS. 65,000 E) RS. 54000
Answers
Answer:
the answer of the questions it is the rupees 65000
Raja's salary is 60000.
According to the question,
Raja gives 30% of his salary to his mother, and 40% of the remaining salary he invests in an insurance scheme and PPF in the ratio of 4 : 3 and the remaining he keeps in his bank account.
If the difference between the amount he gives to his mother and that he invests in an insurance scheme is ₹ 8400,
Let Raja salary=X
Salary is given to the mother= 30% of X=30/100of X = 0.3X
Money left=100 - 30 = 70% = 100 X = 0.7 X
As of now investment of Raja in insurance and PPF is 40% of the remaining salary.
+PPF = (7X×40)/(10×100)=28X/100= 7X/25,
..Remaining salary of Raja = 7X/10-7X/25=(35X-14X)/50=21X/50
So now Raja's investment in the insurance scheme =(7X)/25 × (4/7)=4X/25
So now the difference between the amount he gives to his mother and that he invests in an insurance scheme is
3X/10-4X/25=8400
(15X-8X)/50=8400
7X/50=8400
7X=8400×50
X=(8400×50)/7
X=1200 ×50
X=₹60000.
Hence, Raja's salary is 60000.
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