Cluster · Simple and Compound Interest Calculations

d
Clusters / #1185
tight score 0.64

Simple and Compound Interest Problems
Questions
1,283
Questions in this cluster
1,281 total
Question Category Subtype Difficulty

The sum of Rs.768 is invested in compound interest at the rate of 12.5% for two years. After two years the interest that was earned by compound interest is again invested into simple interest for the next two years at the rate of 5% percentage. Find the total interest at the end of 4 years.

pipeline-75850
english percentage intermediate

Chris invested Rs. 60,000 at the rate of 5% per annum for 2 years on simple interest. He invested the obtained interest for 3 years compounded annually at the same rate. Find the total interest obtained in 5 years (in Rs.). (approx.)

pipeline-39522
english simple_interest intermediate

A man starts investing in two banks with the same capital of 3000 rupees. Bank A gave simple interest on his investment and Bank B gave compound interest on his investment at a rate of 10% each.

Quantity l: Interest by Bank A on an investment of 3 years. 

Quantity ll: Interest by Bank B on an investment of 2 years. 

pipeline-75809
english simple_interest intermediate

Hitesh invested Rs. 34000 on simple interest for 1.5 years at the rate of 15% per annum and Ritesh invested Rs. 30000 on compound interest for 2 years at the rate of 12% per annum. Find the difference of interest earned by them if simple interest is calculated half yearly while compound interest is calculated yearly.

pipeline-46782
english simple_interest intermediate

Different sums of money are invested on compound and simple interest at the rate of 10% per annum. If the amounts of interest earned on the sums in 2 years are Rs. 4095 and Rs. 4660 respectively then find the sum of total money invested in two schemes.

pipeline-47497
english simple_interest intermediate

Quantity A :  Sumit invested rupees X at a rate of 15 % per annum on compound interest for 2 years and gets Rs. 5805 as interest. If he invested Rs. (X + 7000) at 20% per annum on another scheme, find compound interest obtained after two years.

Quantity B : Sumit invested Rs. 16000 at simple interest for 2 years at R% per annum and got Rs. 4000 as interest. If he invested total amount in another scheme at (R - 5)%, find compound interest obtained by Sumit after 2 years.

pipeline-17622
english simple_interest intermediate

Deepak invested a sum of Rs. 33000 on compound interest at the rate of 20% per annum compounded annually. Find the interest of the third year.

pipeline-44869
english compound_interest intermediate

Find the simple interest for one year.

Statement I: Difference between three years of compound interest and simple interest is Rs 7000.

Statement II: Difference between two years of compound interest and simple interest is Rs 5000. 

pipeline-95738
english simple_interest intermediate

Quantity I: The production of chips in the chips factory increased from 4000 tons to 5000 tons in one year. What is the growth rate per year?

Quantity II: The certain sum of Rs 10,000 will become Rs 12,100 in 2 years if interest is compounded annually. What is the rate of interest?

pipeline-95142
english intermediate

A person borrowed some money at compound interest for 2 years. What will be the amount required to return after 2 years?

I: If the amount was borrowed at simple interest, then after 5 years Rs 600 was paid as simple interest. 

II: The rate of interest is 6% p.a

III: The sum of money borrowed is 10 times the amount required to be paid as simple interest after 2 years.

pipeline-52131
english simple_interest intermediate

What is the approximate rate of interest?

S1- The amount of Rs. 70,000 gives an interest of Rs. 13,500 in 2 years.

S2- The difference between the compound interest and simple interest Rs. 70,000 when compounded half-yearly after one year is Rs. 400.

pipeline-92805
english simple_interest intermediate

Quantity I: Rs 8000 is invested for 2 years at compound interest at the rate of 20% per annum. Find the compound interest.

Quantity II: Rs 6000 is invested for 3 years at compound interest at the rate of 10% per annum. Find the compound interest.

pipeline-297661
english compound_interest intermediate

What was the interest rate at which money was borrowed?

Statement I: The rate of interest is double the number of years for which the amount was lent.

Statement II: The interest is the square of the principal amount.

pipeline-25570
english intermediate

Find the compound interest, if the cost price of food is given to the customer for 3 years at a rate of 10%. Here the revenue is 25% more than the cost price

pipeline-73767
english compound_interest intermediate

A sum amounts of Rs. 9261 in 3 years at 5% per annum, interest compounded annually. What is the simple interest (in Rs.) on the same sum for 3\(\frac{3}{4}\) years at the same rate of interest?

pipeline-328930
reasoning simple_interest intermediate

What will be the difference between compound interest (interest is compounded annually) and simple interest on a sum of Rs. 3200 at the rate of 20% per annum for 2 years?

pipeline-112666
reasoning simple_interest intermediate

The difference between the compound interest and the simple interest on a certain sum at 8% per annum for 2 years is ₹144. What is the amount (in ₹)?

pipeline-325089
reasoning simple_interest intermediate

If the compound interest on a certain sum for 2 years at 4% per annum is ₹1530. What would be the simple interest on the same sum for the same period and at the same rate?

pipeline-320841
reasoning simple_interest intermediate

If the difference between simple interest and compound interest on a sum of money invested for 2 years at the rate of 15% per annum (interest compounded annually) is Rs. 225, then what is the sum?

pipeline-331774
reasoning simple_interest intermediate

The difference between the compound interest and the simple interest on a certain sum added 5% per annum for 2 years is ₹ 152. What is the amount (in ₹)?

pipeline-325184
reasoning simple_interest intermediate

There is a 70% increase in an amount in 7 years at simple interest. What will be the compound interest on ₹8000 after 3 years at the same rate of interest?

pipeline-320849
reasoning simple_interest intermediate

What is the difference between the compound interest compounded annually and the simple interest on Rs. 5000 at the rate of 8% per annum for 2 years?

pipeline-329162
reasoning simple_interest intermediate

The compound interest on an amount for 2 years at 5% per annum compounded annually is Rs. 205. The simple interest is :

pipeline-110782
reasoning simple_interest intermediate

The compound interest compounded annually on a sum of money for 2 years is Rs. 1,128.6 and the simple interest on the same sum for the same period is Rs. 1,080. What is the difference between the compound interest compounded annually and the simple interest for 3 years?

pipeline-333686
reasoning simple_interest intermediate

Find the difference in Compound Interest (in Rs) earned if Rs 12000 is given at 8% per annum for 1 year when interest is compounded annually and semiannually.

pipeline-2602
reasoning compound_interest intermediate

A sum fetched a total simple interest of ₹ 5,427 at the rate off 9% p.a. in 6 years. What is the sum?

pipeline-333693
reasoning simple_interest intermediate

If a certain sum of money on simple interest amounts to Rs. 1980 and Rs. 2070. in 2 years and 3 years, respectively, then what is the sum (in ₹)?.

pipeline-338466
reasoning simple_interest intermediate

A certain sum amounts to ₹ 4,900 in 3 years 4 months at the rate of 7.5% p.a. at simple interest. What will be the amount (in ₹) of the same sum in \(3\frac{3}{4}\) ​years at the rate of 8% p.a. simple interest?

pipeline-337600
reasoning simple_interest intermediate

The difference between the amount of simple interest received on a certain sum at the end of 2nd and 3rd year is Rs. 5400. If the amount received at the end of the fourth year is Rs. 111600, then find the rate of simple interest.

pipeline-504262
reasoning simple_interest intermediate

Same principals were invested at compound interest of r% and 2r%. The amount that they grow to after two years are in the ratio 25 : 36. What is the value of r?

pipeline-2623
reasoning compound_interest intermediate

A person lent some amount at 20% compound interest p.a. for 2 years and same amount at 8% simple interest for 6 years. If the simple interest is Rs. 40 more than the compound interest then find the compound interest.

pipeline-504534
reasoning simple_interest intermediate

Suresh invested Rs. 36,000 in a scheme of LIC offering 10% compound interest for three years compounded annually. Find the interest earned by him.

pipeline-504294
reasoning compound_interest intermediate

A certain amount invested at a certain rate, compounded annually, grows to an amount in five years, which is a factor of 1.1881 more than to what it would have grown in three years. What is the rate percentage?

pipeline-4539
reasoning intermediate

A certain sum amounts to Rs. 10164 in 4 years and to Rs. 12320 in 7\(\frac{1}{2}\) years at the same rate of interest per annum at simple interest. The sum and the rate of interest are, respectively?

pipeline-338479
reasoning simple_interest intermediate

Vinitha invests ₹ 12,000 on simple interest at the rate of 9% p.a. to obtain a total amount of ₹ 18,480 after a certain Period. For how many years did she invest to obtain the above amount?

pipeline-334304
reasoning simple_interest intermediate

Compound Interest at the end of 2 years is Rs 6480, while the Compound Interest at the end of 4 years is Rs.9331.2. Find principal. (Interest is compounded annually)

pipeline-2528
reasoning compound_interest intermediate

A certain sum of money amounts to Rs. 12144 at simple interest in 4 years and to Rs.13984 in 6\(\frac{1}{2}\) years. The rate of interest is:

pipeline-333788
reasoning simple_interest intermediate

In how much time will ₹ 5000 amount to ₹ 6800 at a simple interest of 9% per annum?

pipeline-334680
reasoning simple_interest intermediate

A person invests in a bond (at compound interest) which gives a return of 8% for first two years and 47% for next two years. If he invested the same amount in some bond which gives return constantly at x% p.a., then what is the value of x for which the amounts received after 4 years in both the investments are same?

pipeline-3676
reasoning compound_interest intermediate

An amount of Rs 7200 is invested at simple interest for 2 years. Rate of interest is 40% per annum. If the interest received is same as the interest received when some amount is invested at Compound Interest at 40% per annum compounded annually for 2 years, amount invested in CI is?

pipeline-5317
reasoning simple_interest intermediate

Amarnath invested a sum of ₹ 22500. At what rate of simple interest per annum will he obtain a total amount of ₹ 28800 at the end of 4 years?

pipeline-333786
reasoning simple_interest intermediate

The simple interest on a sum of ₹ x at 8.5% p.a. for 12 years is ₹ 3298 less than the amount of the same sum invested at the same rate 4(4/5) years at simple interest. The value of x is:

pipeline-334295
reasoning simple_interest intermediate

The simple interest obtained on a principal amount of Rs 29000 at ‘x’% per annum in 4 years is Rs 26 less than the compound interest obtained on a principal amount of Rs 36000 in 3 years at the rate of 10% per annum compounded annually then find the value of ‘x’.

pipeline-504288
reasoning simple_interest intermediate

Anjesh invested Rs. 52000 in LIC at 18% per annum simple interest rate for 7.5 years. Later he lends the interest received to Suresh at 12.5% ​​​​per annum compound interest rate for 3 years, then find how much interest Suresh has to pay.

pipeline-504437
reasoning simple_interest intermediate

A sum amounts to Rs.18,600 after 3 years and to Rs. 27,900 after 6 years, at a certain rate percent p.a., when the interest is compounded annually. The sum is:

pipeline-2952
reasoning intermediate

Pankaj invested Rs.50,000 in a scheme offering 8% p.a. simple interest for 4 years. Kamal invested Rs. 48,000 in a scheme offering 10% compound interest for three years compounded annually. Find the difference between the interests earned by Pankaj and Kamal.

pipeline-504289
reasoning simple_interest intermediate

Jaya invested a certain sum in simple interest at the rate of 10% per annum for 4 years is Rs.1000. If she invested the same sum in compound interest at the rate of 20% per annum for 2 years, then find the compound interest received by Jaya.

pipeline-504536
reasoning simple_interest intermediate

The difference between the compound interest and simple interest on Rs.x at 7% per annum for 2 years is Rs. 24.50. What is the value of x?

pipeline-5095
reasoning simple_interest intermediate

The ratio of the amounts received on a certain sum invested compounding annually at the end of 1st year and at the end of 2nd year is 25 : 26. If the amount received at the end of the 3rd year is Rs. 56243.20, find the original sum invested.

pipeline-504292
reasoning intermediate

A person borrowed a certain sum at 10% p.a. for three years, interest being compounded annually. At the end of two years, he repaid a sum of Rs. 6,634 and at the end of the third year, he cleared off the debt by paying Rs.13,200. What was the sum borrowed by him?

pipeline-3933
reasoning intermediate
Page 5 of 26