CAT (QA) PYQs

John borrowed Rs.$2,10,000$ from a bank at an interest rate of $10 \%$ per annum, compounded annually. The loan was repaid in two equal installments, the first after one year and the second after another year. The first installment was interest of one year plus part of the principal amount, while the second was the rest of the principal amount plus due interest thereon. Then each installment, in Rs., is

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

Alex invested his savings in two parts. The simple interest earned on the first part at $15 \%$ per annum for $4$ years is the same as the simple interest earned on the second part at $12 \%$ per annum for $3$ years. Then, the percentage of his savings invested in the first part is