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

State if the following is a surd. Give reasons.

`root(12)(8). ÷ root(6)(6)`

Mr Sharma goes from Kolkata to Chennai to buy a car. It is available at 12% less price at Chennai than at Kolkata. But he incurs Rs. 9000 as overhead expenses to buy the car from Chennai. He sells the car at Kolkata at its cost price and make a profit of 10%. Find price of the car at Kolkata.

Find the amount and the compound interest payable annually on:
Rs.17500 for 3 years at 8%, 10% and 12% for the successive years.

Calculate the amount and compound interest on Rs 20000 for 3 years at 10% per annum, interest being payable annually.

Compute the compound interest for the third year on Rs. 5000 invested for 5 years at 10% per annum, the interest being payable annually.

Rakesh invests Rs.25600 at 5% per annum compound interest payable annually for 3 years. Find the amount standing to his credit at the end of the second year.

A man invests Rs 24000 for two years at compound interest, If his money amounts to Rs 27600 after one year, find the amount at the end of second year.

How much will Rs 14000 amounts to 2 years at compound interest, if the rates for the successive years be 5% and 8% respectively?

Find the amount and the compound interest on Rs 17500 for 3 years, if the rates for successive years is 4%, 5% and 6% respectively, the interest is payable annually.

Find the difference between the compound interest and simple interest on Rs 20,000 at 12% per annum for 3 years, the compound interest being payable annually.

What sum will amount to Rs.10120 in 2 years at C.I. payable annually, if the rates are 10% and 15% for the successive years?

The value of a mobile depreciated by 5% per year during the first two years and 10% per year during the third year. Express the total depreciation of the value of the mobile in percent during the three years.

A man borrows Rs.20000 at 10% per annum compound interest payable annually. If he repays Rs.5000 at the end of the first year and Rs.10000 at the end of the second year; how much should he pay at the end of the third year in order to clear the account? Find the answer correct to the nearest rupee.

Ankita bought a gold ring worth Rs.x. The value of the ring increased at 10% per year compounded annually, on which the appreciation for the first year plus the appreciation for the second year amounts to Rs.6300. Find the value of the ring.

Priyanka lends Rs.15,500 at 10% for the first year, at 15% for the second year and at 20% for the third year. If the rates of interest are compounded yearly, find the difference between the compound interest of the second year and the third year.

Find the amount and the compound interest on the following :
Rs.16000 for 3 years at 10%, 8% and 6% for successive years.

How much will Rs 25000 amount to in 2 years at compound interest, if the rates for 1^st and 2^nd years be 4% and 5% p.a. respectively?

Find compound interest on Rs 31250 for 3 years, if the rates of interest for 1^st,2^nd and 3^rd years be 8%, 10% and 12% respectively.

What principal will amount to Rs.15729 in two years, if the rate of interest for successive years are 5% and 7% respectively, the interest is being compounded annually.

Factorise the following by the difference of two squares:
x² - 16