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Susan invested certain amount of moneyin …

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Susan invested certain amount of moneyin two schemes A and B, which offer intrest at rate of 8% per abnum 9% per annum , respectly. She receives Rs.1850 as annual intrest. However, had she interchanged the amount of investment in two schemes, she would have received Rs 20 more as annual intrest. How much money did she invest in each scheme?? Answer this question...

Posted by Utkarsh Raj 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Rajan Kumar Pasi 6 years, 6 months ago

You have to form linear equation in 2 variables.

Solution:

{tex}\huge (i)\frac{x\times8}{100}+ \frac{y\times9}{100}=1850\\ \huge (ii)\frac{x\times9}{100}+ \frac{y\times8}{100}=1850+20=1870\\ Thus, \huge (i)8x+9y=1850\times100=1,85,000\\ \huge \space\space\space\space\space (ii)9x+8y=1870\times100=1,87,000\\ Solving\space the \space equations, we\space get: \\ \space\space\space\space\space\space\space\space\space\space \huge x=\frac{203000}{17}=11941.176\space Rs. \\ \huge \space\space\space\space\space y=\frac{169000}{17}=9941.176\space Rs.{/tex}

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