CAT (QA) PYQs

Nitu has an initial capital of Rs. $20,000$. Out of this, she invests Rs. $8,000$ at $5.5\%$ in bank $A$, Rs. $5,000$ at $5.6\%$ in bank $B$ and the remaining amount at $x \%$ in bank $C$ , each rate being simple interest per annum. Her combined annual interest income from these investments is equal to $5 \%$ of the initial capital. If she had invested her entire initial capital in back $C$ alone, then her annual interest income, in rupees, would have been

An amount of Rs 10000 is deposited in bank A for a certain number of years at a simple interest of 5% per annum. On maturity, the total amount received is deposited in bank B for another 5 years at a simple interest of 6% per annum. If the interests received from bank A and bank B are in the ratio 10 : 13, then the investment period, in years, in bank A is

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