1.Find the two-digit number whose digits multiply to 8, and when 18 is added to the number, the digits switch places.
2.Identify the number that, when multiplied by 15, results in a value that is 196 greater than the original number.
3.If the sum of the squares of three numbers is 138, and the sum of the products of these numbers taken two at a time is 131, what is the sum of the three numbers?
4.Three numbers are in the ratio 3 : 4 : 6, and their product equals 1944. What is the value of the largest number?
5.A number added to its square equals 182. What is the value of this number?
6.Two numbers have a sum of 25 and a difference of 13. What is the product of these two numbers?
7.Two numbers have a total of 33 and their difference is 15. What is the value of the smaller number?
8.Hafeez invested Rs. 15,000 at an annual interest rate of 10%, compounded semi-annually. What will be the total amount he receives after one year?
9.A person deposits Rs. 200 at the end of each year and lends it at a compound interest rate of 5%. What will be the total amount after 3 years?
10.Calculate the compound interest earned on Rs. 25,000 invested for 3 years at an annual interest rate of 12%.
11.Shohaib placed Rs. 8000 in a fixed deposit scheme for 2 years with an annual compound interest rate of 5%. What will be the total amount received by Shohaib at the end of the tenure?
12.Afnan borrows Rs.6000 at a simple interest rate of 6% per annum and then invests the same amount at compound interest at the identical rate for two years. What is his net gain from this transaction?
13.Rayan invested money at two simple interest rates: 6% per annum and 7% per annum. If the interest earned from both investments is the same, what is the ratio of the amounts invested at these two rates?
14.If Rs.12,000 earns Rs.7,200 as simple interest over five years at a certain rate, what is the compound interest on the same principal and period at that rate?
15.What is the difference in compound interest earned on Rs. 12,000 at an annual rate of 20% when compounded annually versus semi-annually for one year?
16.The compound interest and simple interest on a certain principal amount at the same rate for two years are Rs.11730 and Rs.10200 respectively. What is the principal amount?
17.An individual earned Rs.48 more by investing a certain amount at compound interest rather than simple interest for 2 years at an annual rate of 8%. What was the initial amount invested?
18.If the compound interest on Rs. 44,000 after two years is Rs. 1,193.60, what would be the simple interest on the same principal, rate, and time period?
19.If the simple interest earned on Rs. 49,500 over three years is Rs. 17,820, what is the compound interest on the same principal, rate, and duration? (Round your answer to two decimal places.)
20.A man earns Rs.500 as simple interest on a certain principal amount at an annual rate of 5% over two years. Calculate the compound interest he would receive on double that principal after two years at the same interest rate.