A person has rupees 35000 that he has divided into three invests, part of the money is invested in a saving account with annual rate of interest of 6%, paath ine 7% annual yield Bond and the remainder in a business in 2006 when he lost 6% of the money that he invested in that business, his net income from all three investments was rupees 660. If he invested Rs 3000 more in the business then in saving account how much was invested in each?
Answers
Given : A person has rupees 35000 that he has divided into three invests, part of the money is invested in a saving account with annual rate of interest of 6% , 7% annual yield Bond , lost 6% of the money that he invested in that business
To find : how much was invested in each
Solution:
Let say Amount invested are
1000x , 1000y & 1000z at 6 % , 7 % & - 6 %
1000x + 1000y + 1000z = 35000
=> x + y + z = 35
1000x *6/100 + 1000y*7/100 + 1000z(-6/100) = 660
=> 6x + 7y - 6z = 66
=> 6(x - z) + 7y = 66
1000z = 1000x + 3000
=> z = x + 3
=> x - z = - 3
6(x - z) + 7y = 66
=> 6(-3) + 7y = 66
=> 7y = 84
=> y = 12
x + y + z = 35 => x + y + x + 3 = 35 => 2x + y = 32
2x + 12 = 32
=> 2x = 20
=> x = 10
z = 13
10000 , 12000 , 13000
Rs 10000 invested in Saving account
Rs 12000 invested in Bond
Rs 13000 invested in Business
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