AILET entrance exam Question Bank Solutions

The number of members of a club is increased by 10% every year. If the initial number of the members is 500, then what will be the number at the beginning of the third year?

The value of a car depreciates every year at the rate of 10% on its value at the beginning of the year. If the present value of the car is ₹52,488, its worth four years ago was

A certain sum of money was deposited in the bank and it became two-fold in 10 years, what is the rate of simple interest?

If ₹80 amounts to ₹140 in 4 years, what will ₹96 amount to in 10 years at the same rate of interest per annum?

A person borrows ₹ 5000 for 2 yr at 4% per annum simple interest. He immediately lends it to another person at `6 1/4` per annum for 2 yr. Find his gain in the transaction per year.

What will be the ratio of simple interest earned by a certain amount at the same rate of interest for 6 yr and that for 9 yr?

Reena took a loan of ₹1200 with simple interest for as many years as the rate of interest. If she paid ₹432 as interest at the end of the loan period, what was the rate of interest?

Mr. Thomas invested an amount of ₹13900 divided in two different Schemes A and B at the simple interest rate of 14% per annum and 11% per annum, respectively. If the total amount of simple interest earned in 2 yr be ₹3508, what was the amount invested in Scheme B?

A sum of ₹725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of ₹362.50 more is lent but at the rate twice the former. At the end of the year, ₹33.50 is earned as interest from both the loans. What was the original rate of interest?

An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%. the effective rate of interest becomes

A person takes a loan of ₹200 at 5% simple interest. He returns ₹100 at the end of 1 yr. In order to clear his dues at the end of 2 yr, he would pay

Ravi borrowed some money at the rate of 4% per annum for the first three years, at the rate of 8% per annum for the next two years and at the rate of 9% per annum for the period beyond 5 yr. If he pays a total simple interest of ₹19550 at the end of 7 yr, how much money did he borrow?

A bank offers 5% compound interest calculated on a half-yearly basis. A customer deposits ₹1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is

There is 60% increase in an amount in 6 year at simple interest. What will be the compound interest of ₹ 12000 after 3 years at the same rate?

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is ₹1. The sum (in₹) is

The difference between compound interest and simple interest on an amount of ₹15000 for 2 years is ₹96. What is the rate of interest per annum?

What is the difference between the compound interest and simple interest accrued on an amount of  ₹12000 at the end of 3 years at the rate of 12%?

A sum invested for 3 years compounded at 5%, 10%, and 20% respectively. In 3 years, if the sum amounts to ₹16632, then find the sum:

A sum of money at simple interest amounts to ₹815 in 3 years and to ₹854 in 4 years. The sum is

A certain sum is lent at x % per annum simple interest for 2 years. Instead, if the amount was lent at 2x% per annum simple interest for y more years, then the interest would have been five times the earlier interest. What is the value of y?