(English Medium) ICSE Class 9 - CISCE Question Bank Solutions

A sum of money was invested for 3 years, interest being compounded annually. The rates for successive years were 10%, 15% and 18% respectively. If the compound interest for the second year amounted to Rs. 4,950, find the sum invested.

A sum of money is invested at 10% per annum compounded half yearly. If the difference of amounts at the end of 6 months and 12 months is Rs.189, find the sum of money invested.

Rohit borrows Rs. 86,000 from Arun for two years at 5% per annum simple interest. He immediately lends out this money to Akshay at 5% compound interest compounded annually for the same period. Calculate Rohit's profit in the transaction at the end of two years.

The simple interest on a certain sum of money for 3 years at 5% per annum is Rs.1,200. Find the amount and the compound interest due on this sum of money at the same rate and after 2 years. Interest is reckoned annually.

Nikita invests Rs.6,000 for two years at a certain rate of interest compounded annually. At the end of first year it amounts to Rs.6,720. Calculate:
(a) The rate of interest.
(b) The amount at the end of the second year.

Factorise : 25a² - 9b²

Factorise : a² - (2a + 3b)²

Factorise : a² - 81 (b-c)²

Factorise : 25(2a - b)² - 81b²

Factorise : 50a³ - 2a

Factorise : 4a²b - 9b³

Factorise : 3a⁵ - 108a³

Factorise : 9(a - 2)² - 16(a + 2)²

Factorise : a⁴ - 1

Factorise : a³ + 2a² - a - 2

Factorise : (a + b)³ - a - b

Factorise : a (a - 1) - b (b - 1)

Factorise: 4a² - (4b² + 4bc + c²)

Factorise : 4a² - 49b² + 2a - 7b

Factorise : 9a² + 3a - 8b - 64b²