A person invested some money at 12% and other amount at 10% simple interest. He earns a yearly interest of 1300. If he had interchanged the amount he would have received ₹40 more as yearly interest. How much did he invest at different interest?
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Let X be the amount invested at 12 % and Y be the amount invested at 10 %.
We can write
(12x/100) + (10y/100) = 1300 - - - - - - - Eqn (1)
In the second case, changing the amount
We can write
(10x/100) + (12y/100) = 1340 - - - - - - - - Eqn (2)
Eqn(1) X 5
(60x/100) + ( 50y/100) = 6500 - - - - Eqn(3)
Eqn(2) X 6
(60x/100) + (72y/100) = 8040-------Eqn(4)
Eqn(4) - Eqn(3) = (22y/100) = 1540
Therefore Y =7000
Eqn(1) X 6
(72x/100) + ( 60y/100) = 7800 - - - - - Eqn(5)
Eqn(2) X 5
(50x/100) + ( 60y/100) = 6700--------Eqn(6)
Eqn(5) - Eqn(6) = (22x/100) = 1100
Therefore X = 5000
The Amounts are 7000 and 5000
We can write
(12x/100) + (10y/100) = 1300 - - - - - - - Eqn (1)
In the second case, changing the amount
We can write
(10x/100) + (12y/100) = 1340 - - - - - - - - Eqn (2)
Eqn(1) X 5
(60x/100) + ( 50y/100) = 6500 - - - - Eqn(3)
Eqn(2) X 6
(60x/100) + (72y/100) = 8040-------Eqn(4)
Eqn(4) - Eqn(3) = (22y/100) = 1540
Therefore Y =7000
Eqn(1) X 6
(72x/100) + ( 60y/100) = 7800 - - - - - Eqn(5)
Eqn(2) X 5
(50x/100) + ( 60y/100) = 6700--------Eqn(6)
Eqn(5) - Eqn(6) = (22x/100) = 1100
Therefore X = 5000
The Amounts are 7000 and 5000
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