an amount of rs 100000 is invested in two types share the..., Latest Questions, General Mathematics

Question:An amount of Rs.100000 is invested in two types of share.The first yields an interest of 9% per annum and the second yields 11% per annum.It the total interest at the end of one year is `9 3/4%`, then the amount invested in each ahare was :

A Rs.72500, Rs. 27500 
B Rs.62500, Rs. 37500 
C Rs. 52500, Rs.47500 
D Rs. 82500, Rs. 17500

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+ AnswerB

+ ExplanationLet the first investment be Rs. x. Then,

`(x xx 9 xx 1)/100 + ((100000 - x) xx 11 xx 1)/100`

`= 100000 xx 39/4 xx 1/100`

`=> (9x)/100 + (1100000 - 11x)/100`

`= (975000)/100`

`=> 1100000 - 2x`

`= 975000 => x = 62500`

:. The two amounts are Rs. 62500 and Rs. 37500

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