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Sagarika divides her savings of \(10000\) rupees to invest across two schemes A and B. Scheme A offers an interest rate of \(10\%\) per annum, compounded half-yearly, while scheme B offers a simple…

Question and options

Sagarika divides her savings of 1000010000 rupees to invest across two schemes A and B. Scheme A offers an interest rate of 10%10\% per annum, compounded half-yearly, while scheme B offers a simple interest rate of 12%12\% per annum. If at the end of first year, the value of her investment in scheme B exceeds the value of her investment in scheme A by 23102310 rupees, then the total interest, in rupees, earned by Sagarika during the first year of investment is
  1. 1111
  2. 1000
  3. 1100
  4. 1130

Answer and explanation

Correct answer: D - 1130
A gets x: value 1.05^2 x = 1.1025x; B value 1.12(10000-x). 11200-2.2225x=2310 gives x=4000. Interest: A 4000*0.1025=410, B 6000*0.12=720; total 1130.

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  • IPMAT Indore

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