Business Mathematics: fifth edition

$30.$ RMI,$999$ was invested for a certain period. The simple interest earned is RM$200.$ Find this period if the simple interest rate offered was $10\%$ per annum.

$31.$ A debt of RM$900$ on $12$ February $2021$ became RM$1,000$ on $25$ May $2021.$

$($a$)$ What is the interest rate being charged using the Banker's Rule?

$($b$)$ What would the value of the debt be on $20$ March $2021$ using Banker's Rule?

$32.$ RM $7,000$ is invested for $4$ years $7$ months at a simple interest rate of $7\%$ per annum for the first two years and $8\%$ per annum for the ensuing period. Find the amount of the investment at the end of the investment period.

$33.$ John takes a bank loan of RM $30,000.$ The bank charges him a simple interest rate of $6\mathrm{.}2\%.$ If he has to pay the bank RM$30,100,$ find the term of the loan. $($Use the Banker's Rule$).$

$34.$ Shamsher deposits a sum of money in a bank that paid simple interest rate of $3\mathrm{.}5\%$ per annum. The balance on $29$ May $2019$ was RM$8,656\mathrm{.}45.$ If he kept the money in the bank for $65$ days, using the Banker's Rule, find:

$($a$)$ the date he deposited the money

$($b$)$ the original amount he deposited in the bank.

$35.$ If you buy a $26-$week Treasury bill from the Treasury with a maturity value of RM$100,000$ for RM$95,000,$ what annual interest rate will you earn?

$36.$ If an investor wants to earn an annual interest rate of $12\%$ per annum on a $13-$week Treasury Bill with a maturity value of RM$100,000,$ how much should he pay for the Bill?

$37.$ A debt of RM$3,000$ due six months ago and another RM$5,000$ due in $18$ months are to be settled by two equal payments, one at the end of four months and the other at the end of ten months. Find the size of the payments using:

$($a$)$ the present as the focal date,

$($b$)$ the end of $18$ months as the focal date, assuming money is worth $9\%$ per annum simple interest.

$38.$ Bernard borrows RM$8,889$ at $15\%$ per annum simple interest. He agrees to settle the loan by paying $RMx,RM2x$ and RM $3x$ in two months, five months and nine months respectively. Find the value of $x$ using the present as the focal date.

$39.$ Radiah borrows RM$5,000$ at $8\%$ simple interest per annum on $20$ September $2019.$ If she is charged RM$124\mathrm{.}44$ simple interest, find the date she settles the loan. $($Use the Banker's Rule$).$

$40.$ Mr Kok invests RM$10,000$ at a simple interest rate of $4\mathrm{.}5\%$ per annum. If the amount accumulates to RM$10,046\mathrm{.}25$ on $10$ September $2019,$ determine the date of investment using Banker's Rule.

$41.$ A loan of RM$60,000$ will become RM$60,715$ after a period of time. If the loan is charged a simple interest rate of $5\mathrm{.}5\%$ per annum, find the period of time in days using the Banker's Rule.