(English Medium) ICSE Class 10 - CISCE Question Bank Solutions

The sum of the first three terms of an Arithmetic Progression (A.P.) is 42 and the product of the first and third term is 52. Find the first term and the common difference.

The simple interest on a certain sum in 2 years is Rs 1,300, whereas the compound interest on the same sum at the same rate and for the same time is Rs 1,365. Find the rate per cent and the sum.

The simple interest and the compound interest on a certain sum of money for 2 years at the same rate of interest are Rs 8,000 and Rs 8,640 respectively. Calculate the rate of interest and the sum.

Find the difference between the compound interest and the simple interest in 2 years on Rs 5,000 at 8% p.a. compounded annually.

Find the difference between the compound interest and the simple interest in 3 years on Rs 15,000 at 8% p.a. compounded yearly.

Anand borrows Rs 20,000at 9 % p.a. simple interest for 3 years. He immediately gave it to Prakash at `8 1/2 %` p.a. compound interest compounded annually.
Find Anand's loss or gain. 

Meera borrowed Rs 35,000 at 12.5% p.a. simple interest for 3 years. She immediately gave it to Archana at 12 % p.a. compound interest compounded annually. Find Meera's loss or gain at the end of 3 years.

Calculate the Amount and Cornpound Interest for the Following, when Cornpounded Annually:

Rs 12,000 for 3 years at 15 % p.a. 

Calculate the amount and the compound interest for the following, when cornpounded half-yearly: 

Rs 6,000 for `1 1/2` years at 10 % p.a. 

Calculate the amount and the compouncl interest of the following: 

Rs 9,125 for 2 years if tl1e rates of interest are 12% and 14 % for the successive years. 

Calculate the amount and the compound interest for the following: 

Rs 20,000 for 2 years if the rates of interest are `12 1/4` and `5 1/2` for the successive years.

Find the difference betlween the compound interest compounded yearly and half-yearly for the following: 

Rs 15,000 for `1 1/2` years at 12 % p.a.

Find the difference between the compound interest compounded yearly and half-yearly for the following: 

Rs 20,000 for `1 1/2` years at 16 %  p.a.

On what sum will the difference between compound interest and the simple interest for 2 years at `7 1/2` %  be Rs 22.50 ? 

On what sum will the difference between compound interest and the simple interest for 3 years at 12% be Rs 1,123.20?

The population of a town in the year 2005 was 4, 25,000. Find its population in the year 2007 if the rate of annual increase is 4% per year.

The population of a city is 1, 25,000. If the annual birth rate and death rate are 5.5% and 3.5% respectively, calculate the population of the city after 3 years.

The population of a village increases at the rate of 50 per thousand. Its population after 2 years will be 22,050. Find the present population.

In a factory the production of scooters rose to 46,305 from 40,000 in 3 years. Find the annual rate of growth of the production of scooters.

The present population of a town is 1, 15200.If it increases at the rate of `6 2/3`% per annum , find

Its population after 2 years