COMPOUND INTEREST RRB NTPC 2025 CBT-1 QUIZ

Find the value of \( \frac{\sqrt{0.038025}}{\sqrt{0.004225}} \).

A bank offers 7.8% compound interest per annum calculated on a half-yearly basis. A customer deposits ₹ 9,920 each on 1 January and 1 July of a year. At the end of the year, the amount he would have gained by way of interest is ______ (give your answer correct to 2 decimal places).

A bank offers \(1.1\%\) compound interest per annum calculated on a half-yearly basis. A customer deposits ₹7,745 each on 1 January and 1 July of a year. At the end of the year, the amount he would have gained by way of interest is \(\qquad\). (Rounded up to the 2 decimal places.)

Shan has ₹1,617 with him. He divided it amongst his sons Piyush and Manoj and asked them to invest it at 10% rate of interest per annum, compounded annually. It was seen that Piyush and Manoj got the same amount after 11 and 12 years, respectively. How much (in ₹) did Shan give to Piyush?

Ashish has ₹ 1,218 with him. He divides it amongst his sons Arun and Mahesh and asks them to invest it at \(10\%\) rate of interest compounded annually. It was seen that Arun and Mahesh got same amount after 11 and 12 years, respectively. How much (in ₹) did Ashish give to Mahesh?

Raj has ₹1,218 with him. He divided it amongst his sons Varun and Ashish and asked them to invest it at 10% rate of interest per annum, compounded annually. It was seen that Varun and Ashish got the same amount after 13 and 14 years, respectively. How much (in ₹) did Raj give to Ashish?

When the difference between compound interest, compounded annually, and simple interest for three years is ₹ 228 at 4% interest per annum, the principal is ₹ \( \qquad \).

The difference between the simple interest and the compound interest, compounded annually, on a certain sum of money for 2 years at \( 17 \% \) per annum is ₹ 967. Find the sum [rounded off to the nearest integer].

A sum of \(₹ x\) amounts to \(₹ 83,853\) in \(2 \tfrac{1}{2}\) years at \(12\%\) p.a., interest compounded 10-monthly. What is the value of \(x\)?

Akshat invested ₹ 90,625 at 8% p.a. for 1 year at compound interest, compounded half-yearly. The amount received by him is:

Govind invested some money in a bank at \(4\%\) per annum rate of interest. What would be the corresponding simple interest (in ₹) if after 2 years, Govind got ₹280.5 as compound interest, considering annual compounding?

Find the simple interest (in closest integral ₹) on ₹ 3,000 at \( 6 \% \) per annum rate of interest for the period from 9 February 2024 to 10 April 2024.

At what rate of interest per annum will a sum of ₹ 1,000 amount to ₹ 1,728 in 1 year and 6 months, if the interest is compounded half-yearly?

Find the simple interest (in closest integral ₹) on ₹3,000 at 8% per annum rate of interest for the period from 14 February 2024 to 15 April 2024.

At what rate of interest per annum will a sum of ₹ 8,000 amount to ₹ 15,625 in 1 year and 6 months, if the interest is compounded half-yearly?

What sum of money (in ₹) will amount to ₹ 840 at \(4 \%\) per annum simple interest in 3 years?

The compound interest earned in 1 year on ₹ \(2,40,000\) at the rate of \(40\%\) per annum, compounded quarterly, is:

Find the simple interest (in ₹) on ₹1,200 at an interest rate of \( 3 \% \) per month in 1 month.

Find the simple interest (in ₹) on ₹900 at an interest rate of \( 6 \% \) per month in 12 months.

Amit had invested same amount of sums at simple as well as compound interest, compounded annually. The time period of both the sums was 2 years and rate of interest too was the same, \( 4 \% \) per annum. At the end, he found a difference of ₹45 in both the interests received. What were the sums (in ₹) invested?

Amit had invested same amount of sums at simple as well as compound interest, compounded annually. The time period of investment for both the sums was 2 years and rate of interest too was the same, \(4 \%\) per annum. At the end, he found a difference of ₹43 in both the interests received. What were the sums (in ₹) invested?

Find the simple interest (in ₹) on ₹ 2,000 at 5.75% per annum rate of interest for the period from 15 February 2023 to 29 April 2023.

On simple interest, a certain sum of money amounts to \( ₹ 1,250 \) in 2 years and to \( ₹ 2,000 \) in 4 years. Find the rate of interest per annum.

A sum when invested at the rate of \( 12 \% \) simple interest per annum, amounts to \( ₹ 8,500 \) after 3 years. The simple interest (in ₹) for the given time period is:

On simple interest, a certain sum of money amounts to ₹1,300 in 2 years and to ₹2,100 in 4 years. Find the rate of interest per annum.

Nirmal invested ₹ 1,380 at 3% per annum simple interest in a bank. What amount (in ₹) will he get after 3 years?

What sum of money (in ₹) will amount to ₹720 at \( 4 \% \) per annum simple interest in 5 years?

Anuj gets double the amount in 10 years when invested at compound interest, compounded annually. In how many years will the amount become four times itself?

A sum, when invested at \(20\%\) simple interest per annum, amounts to \(₹ 8,640\) after 3 years. What is the simple interest (in ₹) on the same sum at the same rate in 2 years?

On simple interest, a certain sum of money amounts to ₹ 1,750 in 2 years and to ₹ 3,250 in 4 years. Find the rate of interest per annum.

Find the simple interest (in ₹) on ₹2,000 at 6% per annum rate of interest for the period from 3 February 2023 to 17 April 2023.

When the difference between compound interest, compounded annually, and simple interest for three years is ₹217 at 10% interest per annum, the principal is ₹ \(\qquad\).

A sum, when invested at \(20\%\) simple interest per annum, amounts to \(₹ 4,800\) after 3 years. What is the simple interest (in ₹) on the same sum at the same rate in 1 year?

When the difference between compound interest, compounded annually, and simple interest for three years is ₹186 at 10\% interest per annum, the principal is ₹ \( \qquad \).

Tejas gets double the amount in 11 years when invested at compound interest, compounded annually. In how many years will the amount become four times itself?

At what rate (in percentage) per annum simple interest will a sum of money triple itself in 8 years?

Mohan invested \( ₹ 1,320 \) at \( 6 \% \) per annum simple interest in a bank. What amount (in ₹) will he get after 6 years?

If a sum of ₹6,70,000 is invested for a year at 2% per annum compounded half yearly, then find the compound interest.

At what rate of interest (rounded off to two decimal places) per year will a sum of money double itself in 12 years on simple interest?

The difference between the compound interest, compounded annually and the simple interest if ₹47,100 is deposited at \( 9 \% \) rate of interest per annum for 2 years is:

On simple interest, a certain sum of money amounts to ₹ 1,750 in 2 years and to ₹ 3,000 in 4 years. Find the rate of interest per annum.

If a sum of ₹ 9,10,000 is invested for a year at 2% per annum compounded half yearly, then find the compound interest.

How long (in years) will it take for ₹ 1,440 to become ₹ 2,700 at a rate of 10% per annum simple interest?

At what rate (in percentage) per annum on simple interest will a sum of money triple itself in 10 years?

Two banks, A and B, offered loans at \( 3.5 \% \) and \( 6 \% \) per annum, respectively. Atul borrowed an amount of ₹5,00,000 from each bank. Find the positive difference between the amounts of simple interest paid to the two banks by Atul after 4 years.

The difference between the compound interest, compounded annually and the simple interest if ₹17,700 is deposited at 4% rate of interest per annum for 2 years is:

If a sum of ₹6,60,000 is invested for a year at 2% per annum compounded half yearly, then find the compound interest.

If at the same rate of interest, in 2 years, the simple interest is \( ₹ 40 \) and compound interest, compounded annually, is ₹41, then what is the principal (in ₹)?

A man has invested ₹50,500 at a rate of \( 6 \% \) per annum simple interest for 2 years. Find the amount (in ₹) that he will receive after 2 years.

How much will a sum of ₹ 60,000 become after one year if the interest is compounded half-yearly at 18% per annum compound interest?

How much will a sum of ₹72,000 become after one year if the interest is compounded half-yearly at 10% per annum compound interest?

How long (in years) will it take for ₹ 1,680 to become ₹ 2,100 at a rate of 4% per annum simple interest?

A sum when invested at the rate of \( 12.5 \% \) simple interest per annum, amounts to \( ₹ 7,500 \) after 2 years. The simple interest (in ₹) for the given time period is:

Manjit has borrowed an amount of ₹ 2,20,000 from a bank to start a business. How much simple interest (in ₹) will he pay at a rate of \( 4 \% \) per annum after 2 years?

Rakesh invests a sum of ₹5,000 and Shivam invests a sum of ₹ 9,000 at the same rate of simple interest per annum. If, at the end of 3 years, Shivam gets ₹ 360 more interest than Rakesh, then find the rate of interest per annum (in percentage).

Tushar has borrowed an amount of ₹ 2,00,000 from a bank to start a business. How much simple interest (in ₹) will he pay at a rate of \( 8 \% \) per annum after 4 years?

What will the amount after 1 year be, if ₹ 2,400 is invested at 20% compound interest per annum, compounded half-yearly?

A man has invested ₹50,000 at a rate of \( 12 \% \) per annum simple interest for 4 years. Find the amount (in ₹) that he will receive after 4 years.

Find the duration (in years) in which ₹ 1,200 will amount to ₹ 2,280 at a rate of 4 % per annum simple interest.

If at the same rate of interest, in 2 years, the simple interest is ₹ 40 and compound interest, compounded annually, is ₹42, then what is the principal (in ₹)?

Which smallest number should be added to 25553 so that the sum is completely divisible by 38 ?

A bank offers \( 7.4 \% \) compound interest per annum calculated on a half-yearly basis. A customer deposits ₹ 8,022 each on 1 January and 1 July of a year. At the end of the year, the amount he would have gained by way of interest is \( \qquad \) (give your answer correct to 2 decimal places).

Anand has ₹1,617 with him. He divided it amongst his sons Anil and Ashok and asked them to invest it at \(10\%\) rate of interest per annum, compounded annually. It was seen that Anil and Ashok got same amount after 12 and 13 years, respectively. How much (in ₹) did Anand give to Anil?

Rishi has ₹ 1,612 with him. He divided it amongst his sons Shan and Piyush and asked them to invest it at \( 8 \% \) rate of interest per annum, compounded annually. It was seen that Shan and Piyush got the same amount after 19 and 20 years, respectively. How much (in ₹) did Rishi give to Shan?

The difference between the simple interest and the compound interest, compounded annually, on a certain sum of money for 2 years at \(16\%\) per annum is ₹797. Find the sum (rounded off to the nearest integer).

The difference between the simple interest and the compound interest, compounded annually, on a certain sum of money for 2 years at \(19\%\) per annum is ₹590. Find the sum [rounded off to the nearest integer].

At what rate of interest per annum will a sum of ₹15,625 amount to ₹19,683 in 1 year and 6 months, if the interest is compounded half-yearly?

The compound interest earned in 1 year on ₹ 4,80,000 at the rate of 20% per annum, compounded quarterly, is:

When the difference between compound interest, compounded annually, and simple interest for three years is ₹ 152 at 4% interest per annum, the principal is ₹ \( \qquad \) .

Amit had invested the same amount of sums at simple as well as compound interest, compounded annually. The time period of investment for both the sums was 2 years and rate of interest too was same, \( 4 \% \) per annum. At the end, he found a difference of ₹44 in both the interests received. What were the sums (in ₹) invested?

If a sum of ₹8,20,000 is invested for a year at 6% per annum compounded half yearly, then find the compound interest.

Yogesh invested some money in a bank at 5% per annum rate of interest. What would be the corresponding simple interest (in ₹) if after 2 years, Yogesh got ₹102.5 as compound interest, considering annual compounding?

Mohan invests a sum of ₹ 5,000 and Varun invests a sum of ₹ 9,000 at the same rate of simple interest per annum. If, at the end of 3 years, Varun gets ₹ 480 more interest than Mohan, then find the rate of interest per annum (in percentage).

Two banks, A and B, offered loans at \( 3.5 \% \) and \( 6.5 \% \) per annum, respectively. Keshav borrowed an amount of ₹ \( 2,00,000 \) from each bank. Find the positive difference between the amounts of simple interest paid to the two banks by Keshav after 2 years.

Find the duration (in years) in which \( ₹ 1,200 \) will amount to \( ₹ 2,220 \) at a rate of \( 20 \% \) per annum simple interest.

At what rate of interest (in percentage) per year will a sum of money double itself in 5 years on simple interest?

The difference between the simple interest and the compound interest, compounded annually, on a certain sum of money for 2 years at \( 10 \% \) per annum is ₹407. Find the sum [rounded off to the nearest integer].

Mahesh borrowed a sum of \( ₹ 14,000 \) at a certain rate of simple interest for 4 years. If he paid an interest of ₹ 3,500 at the end of the period at \( x \% \) per annum rate of interest, the value of \( x \) is:

At what rate of interest (in percentage) per year will a sum of money double itself in 4 years on simple interest?

What will be the amount after 1 year if ₹ 9,900 is invested at \( 20 \% \) compound interest per annum, compounded half-yearly?

The value of \(17^{3} - 10^{2} + \left(\frac{26}{13}\right)^{2} - 12 + 20 \times 12 = \)

Mahesh withdrew ₹ 3,200 from a bank. He received a total of 33 notes of ₹50 and ₹100 denominations. The number of ₹50 notes received by him was:

Kiran borrowed a sum of \( ₹ 16,000 \) at a certain rate of simple interest for 2 years. If he paid an interest of \( ₹ 4,000 \) at the end of the period at \( \mathrm{x} \% \) per annum rate of interest, the value of x is:

In what time (in years) will ₹ 2,500 fetch an interest of ₹ 1,000 at \( 10 \% \) per year simple interest?

Find the simple interest (in ₹) if a sum of ₹ 350 is borrowed for 1.5 years at \( 20 \% \) per annum rate of interest.

At what rate (in percentage) per annum will ₹1,250 give ₹500 as simple interest in 10 years?

In what time (in years) will ₹ 2,800 fetch an interest of ₹ 700 at \( 5 \% \) per year simple interest?

At what rate (in percentage) per annum will \( ₹ 1,300 \) give \( ₹ 650 \) as simple interest in 10 years?

At what rate (in percentage) per annum will ₹ 1,400 give ₹ 700 as simple interest in 5 years?

Find the simple interest (in ₹) if a sum of ₹ 350 is borrowed for 2.5 years at \( 4 \% \) per annum rate of interest.

What sum (in ₹) will earn an interest of ₹ 420 in 2 years at \( 5 \% \) simple interest per year?

Find the value of \( 3 \sqrt{8 a^{2}-4 a+1}+17 a \), when \( a=2 \).

The simple interest (in ₹) on ₹ 2,200 at the rate of \( 7 \% \) per annum in 2 years is:

If the eight-digit number \( 43377 p 08 \) is divisible by 8, then the maximum value of \( p \) is:

If 2 is added to each even digit and 3 is subtracted from each odd digit in the number 596432, what will be the sum of the greatest and smallest digits in the new number thus formed?

If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 8132574, how many digits will appear more than once in the new number thus formed?

The simple interest (in ₹) on ₹ 2,200 at the rate of \( 5 \% \) per annum in 2 years is:

If the eight-digit number 51880 p69 is divisible by 3, then the maximum value of \( p \) is:

Express \( 0 . \overline{583} \) in the form \( \frac{p}{q} \), where \( p \) and \( q \) are integers and \( q \neq 0 \).