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A cooperative society offers 8% per annum compounded half-yearly, while a small bank next door offers 8.16% per annum compounded annually. Ravneet places ₹50000 with each for exactly 2 years. The difference between the two maturity amounts (in ₹) is:

Competition practiceRatio, Percentage & Commercial Math
  • A80
  • B163
  • C160
  • D0

Step-by-Step Solution

Half-yearly at 8% means 4% twice a year, so one year multiplies the money by — precisely the bank's annual factor. Both deposits therefore grow by 1.0816 each year and stand at = ₹58492.93 after 2 years, a difference of ₹0. (Reading the 0.16 gap in the quoted rates as real money gives 0.16% of 50000 = ₹80 for one year or ₹160 for two; the whole point is that 8.16% annually IS 8% half-yearly.)
Answer: D) 0

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