Question
Peter invested an amount of Rs. 12,000 a the rate of 10 p.c.p.a. simple interest and another amount at the rate of 20 p.c.p.a. simple interest . The total interest earned at the end of one year on he total amount invested become 14 p.c.p.a Find the total amount invested .
Answer: Option A
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Let the second amount be Rs. `x`, Then ,
`((12000 xx 10 xx 1)/(100)) + ((x xx 20 xx 1)/(100))` = `((( 12000 + x) xx 14 xx 1)/(100))`
`hArr 12000 + 20x = 168000 + 14x`
`hArr 6x = 48000`
`hArr x = 8000`
`:.` Total investment = Rs. (12000 + 8000) = Rs. 20000
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