Question
Mr. Dua invested money in two schemes A and B offering compound interest @ 8 p.c.p.a. and 9 p.c.p.a. respectively . if the total amount of interest accrued through two schemes together in two years was Rs. 4818.30 and the total amount invested was Rs. 27,000 what was the amount invested in Scheme A ?
Answer: Option A
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Let he investment in scheme A be Rs. `x`.
Then , investment in scheme B = Rs. (27000 - `x`).
`:.` ` [x xx {(1 + 8/100)^2 - 1} + (27000 x){(1 + 9/100)^2 - 1}]` = 4818 .30
`hArr (x xx 104/625) + (1881(27000 -x))/(10000) = 481830/100`
`hArr 1664x + 1881(27000 - x) = 48183000`
`hArr (1881x - 1664x = (50787000 - 48183000)`
`hArr 217x = 2604000`
`hArr 2604000/217` = 12000
`x` = 12000.
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