SBI PO Mains Compound Interest Questions are more advanced than the direct formula-based questions generally seen in Prelims. Mains-level CI problems often combine successive interest rates, half-yearly or quarterly compounding, installments, depreciation, CI-SI differences, multi-year rate changes, and Data Interpretation caselets. Candidates should focus on shortcut methods and multi-step calculations to improve accuracy and speed. Free PDFs, quizzes, and high-level arithmetic practice sets can further help in preparing for the Mains exam.
Test your concepts with these exam-oriented compound interest questions for sbi po mains. Attempt each question within 2 minutes before reviewing the solution.
Q1. A sum of ₹X is invested in Scheme A at 12% simple interest for 3 years. The interest earned is then invested in Scheme B at 20% compound interest for 2 years. If the interest from Scheme B is ₹3,168, find X.
Q2. The difference between CI and SI on a sum at 10% p.a. for 3 years is ₹620. Find the difference between CI and SI on the same principal at 20% p.a. for 2 years.
Q3. Quantity I: ₹P becomes ₹1.44P in 2 years under CI. Find the interest on ₹(P+5,000) for 2 years at the same rate. Quantity II: SI on ₹30,000 at 15% for 2.5 years.
Q4. A sum earns CI at 20% p.a. compounded annually for 1.5 years. If half-yearly compounding would give ₹2,410 more interest, find the principal.
Q5. A man borrows ₹21,000 at 10% p.a. CI and repays in two equal annual installments. Find each installment.
Q6. A sum invested at CI yields ₹2,420 interest in the second year and ₹2,662 in the third year. Find the annual rate.
Q7. A machine depreciates by 15% in Year 1 and 20% in Year 2. If its value after 2 years is ₹68,000, find the original value.
Q8. Sumit borrows ₹15,000 at 10% CI. At the end of each of the first two years, he pays ₹3,000. How much should he pay at the end of Year 3 to clear the debt?
Q9. Data Sufficiency: Find the principal under CI. I. CI in 2 years at 10% is ₹2,100. II. CI−SI for 2 years at 10% is ₹100.
Q10. A city's population rises by 20%, falls by 10%, then rises by 25%. If the final population is 1,35,000, find the initial population.
To attempt sbi po mains compound interest tricks and shortcuts successfully, move away from long multiplication chains and rely on these structured calculation methods:
Instead of calculating $A = P \left(1 + \frac{R}{100}\right)^n$, convert interest rates into effective percentages using $a + b + \frac{ab}{100}$:
When compounding frequency changes, adjust the rate and time variables before applying any formula:
Missing Data Interpretation (DI) sets based on Simple and Compound Interest frequently appear in Mains. Follow this step-by-step strategy to handle them:
1. Express missing principal or rate via variables (X, Y)
2. Convert yearly interest rates into fraction ratios
3. Formulate equations combining CI and SI schemes
4. Solve using effective percentage or ratio elimination
Mastering compound interest questions for SBI PO Mains requires strong conceptual clarity, proficiency in shortcut techniques, and consistent practice with multi-variable caselets. Focus on mastering effective percentage conversions, installment setups, and CI-SI difference relations to maximize your Quantitative Aptitude score.
SBI PO Mains tests high-level patterns including variable-based CI equations, CI-SI multi-year differences, installment calculations, partial annual repayments, missing DI caselets, and quarterly/half-yearly compounding shifts.
Prelims questions evaluate direct formula application and speed. Mains questions integrate CI into logical caselets, requiring candidates to derive missing variables, handle fractional time periods, or compare two quantities.
Use the Ratio Method ($3 : 3 : 1$) or Effective Percentage Rate ($33.1\%$ for $10\%$, $72.8\%$ for $20\%$) instead of expanding $(1 + R/100)^3$.
Use the present value installment formula: $\text{Loan} = \frac{X}{1 + R/100} + \frac{X}{(1 + R/100)^2} + \dots + \frac{X}{(1 + R/100)^n}$, where $X$ is the equal annual installment amount.
Platforms like Testbook, PracticeMock, and Guidely provide exam-oriented PYQs and realistic Mains-level practice sets.
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