Mr Hari spends 66% of his salary on his family. 20% of the remaining he gives to a trust for charity and is left with Rs12240. What is the total salary of Mr Hari and how much amount does he give to the trust?

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Solution

Let Salary = S
Spent on family = 0.66×S
Remaining=S - 0.66×S
=0.34×S
given to the trust ,
= 0.20× 0.34×S
= 0.068×S

The amount left is 80% of 0.34×S
So, left = 0.80×(0.34×S)
= 0.272×S
But,
0.272×S = 12,240 Rs
so S=12240/0.272
S=Rs 45,000

given to trust =0.068×S
=0.068×45000
=Rs 3, 060

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Q. Sir,
Please help my son to solve this problem.

Mr.Hari spends 66% of his salary on his family. 20% of the remaining he gives to a trust for charity and is left with Rs12240. What is the total salary of Mr.Hari and how much amount does he give to the trust??
Answers are Rs45,000 and Rs.3060

Thank you

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Mr Hari spends 66% of his salary on his family. 20% of the remaining he gives to a trust for charity and is left with Rs12240. What is the total salary of Mr Hari and how much amount does he give to the trust?

Let Salary = S Spent on family = 0.66×S Remaining=S - 0.66×S =0.34×S given to the trust , = 0.20× 0.34×S = 0.068×S The amount left is 80% of 0.34×S So, left = 0.80×(0.34×S) = 0.272×S But, 0.272×S = 12,240 Rs so S=12240/0.272 S=Rs 45,000 given to trust =0.068×S =0.068×45000 =Rs 3, 060

Let Salary = S
Spent on family = 0.66×S
Remaining=S - 0.66×S
=0.34×S
given to the trust ,
= 0.20× 0.34×S
= 0.068×S

The amount left is 80% of 0.34×S
So, left = 0.80×(0.34×S)
= 0.272×S
But,
0.272×S = 12,240 Rs
so S=12240/0.272
S=Rs 45,000

given to trust =0.068×S
=0.068×45000
=Rs 3, 060