Question 428486: mr. sharma ivested a total of 30,000 in two ventures for a year. the annual return from one of them is 8% and the other paid 10.5% for the year. he recieved a total income of 2250 from both. how much did he invest at each rate???
i need help solving this problem.
Found 3 solutions by mananth, ikleyn, josgarithmetic:
Answer by mananth(16949)   (Show Source):
You can put this solution on YOUR website! Below an interest of Rs 2400 one investment becomes negative. not possible
I have worked with Rs. 2550. as interest. instead of Rs 2250.
Part I 8.00% per annum
Part II 10.50% per annum
x + y 30000 ------------------------1
8.00%x+10.50%y= Rs2,550.00
Multiply by 100
8x+10.5y =Rs255,000.00 --------2
Multiply (1) by -8
we get
-8x-8y= -240000.00
Add this to (2)
2.5y=$15,000.00
divide by 2.5
y=Rs.6,000.00 investment at at 10.5%
Balance Rs.24,000.00 investment at 8%
Answer by ikleyn(53750)  (Show Source):
You can put this solution on YOUR website! .
mr. sharma ivested a total of 30,000 in two ventures for a year. the annual return from one of them is 8%
and the other paid 10.5% for the year. he recieved a total income of 2250 from both.
how much did he invest at each rate?
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The problem is SELF-CONTRADICTORY and is posed INCORRECTLY.
It describes a situation which NEVER may happen.
Indeed, if the entire amount of 30,000 is invested at the smaller interest rate of 8%,
it will generate the interest of 0.08*30000 = 2400, which is GREATER (!) than 2250.
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So, this problem is a typical  (= FATALLY WRONG).
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The solution in the post by @mananth is incorrect.
It doesn't stand up to scrutiny.
Answer by josgarithmetic(39792)  (Show Source):
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