Multiple choice

Each question below contains a statement followed by Quantity I and Quantity II. Find both to find the relationship among them. Mark your answer accordingly. Quantity I- If the difference between Ci and Si for three years be Rs.1500 on the principal of Rs.30720 then find the rate of interest per annum? Quantity II- If the difference between Ci and Si for three years be Rs.228 on the principal of Rs.46875 then find the rate of interest per annum?

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
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A Correct answer
Explanation

For Quantity I: Using CI-SI difference formula for 3 years, D = P*(r/100)^2*((300+r)/100). Given D=1500, P=30720. Solving: 1500 = 30720*(r/100)^2*((300+r)/100). For Quantity II: D=228, P=46875. 228 = 46875*(r/100)^2*((300+r)/100). Calculating both rates shows Quantity I's rate is greater than Quantity II's rate. Thus, Quantity I > Quantity II is correct.

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