Interest accrued to Rupa across banks
CAT 2021 Slot 3 · Quantitative Ability · Medium · SI & CI
This is a medium Quantitative Ability question from the CAT 2021 Slot 3 paper. It tests SI & CI. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.
Bank A offers 6% interest rate per annum compounded half yearly. Bank B and Bank C offer simple interest but the annual interest rate offered by Bank C is twice that of Bank B. Raju invests a certain amount in Bank B for a certain period and Rupa invests ₹ 10,000 in Bank C for twice that period. The interest that would accrue to Raju during that period is equal to the interest that would have accrued had he invested the same amount in Bank A for one year. The interest accrued, in INR, to Rupa is
- A.
2436
- B.
3436
- C.
2346
- D.
1436
A
Explanation
In Bank A, effective interest rate for 1 year compounded half yearly at 6% p.a. (3% per half-year):
Raju's interest in Bank B for period at simple interest rate equals Bank A's 1-year interest:
Rupa invests ₹ 10,000 in Bank C at rate for period : .
Related SI & CI questions
- #129Minimum value of composite function expressionCATQAMCQEasy
- #164Sign of Rational FunctionCATQAMCQEasy
- #165System of Absolute Value InequalitiesCATQAMCQEasy
- #166Chocolate Box Pricing and Weight ComparisonCATQAMCQMedium
- #167Logarithmic EquationCATQATITAHard
- #168Cost Equivalent Baskets of FruitsCATQAMCQMedium
- #241Compound interest principal calculationCATQATITAEasy
- #515Equal Instalments Loan RepaymentCATQATITAMedium
Practise this under exam conditions
Sign in to solve it with a live timer, the on-screen CAT calculator, and streak and accuracy tracking across every question you attempt.
Solve in the workspace