CSATTime & WorkSimple and Compound Interest2023

A principal P becomes Q in 1 year when compounded half-yearly with R% annual rate of interest. If the same principal P becomes Q in 1 year when compounded annually with S% annual rate of interest, then which one of the following is correct ?

R = S

R > S

R < S

R <= S

Correct Answer: Option C

Explanation

We need to compare two interest rates, $R$ and $S$, given that they produce the exact same final amount $Q$ from principal $P$ in one year. 1. **Analyze the Annual Case (S%):** Here, interest is calculated just once at the end of the

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