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

Two oils A and B are mixed in the ratio 3: 2. The cost price of oil A and B are Rs. 300 per litre and Rs.400 per litre respectively. If one-fourth of the mixture is sold at Rs. 450 per litre and the remaining of the mixture at Rs. 500 per litre, find the profit per cent on the whole.

Find the amount and the compound interest payable annually on the following :

Rs.25000 for 1`(1)/(2)` years at 10% per annum.

Find the amount and the compound interest payable annually on the following :

Rs.24000 for 1`(1)/(2)` years at 7`(1)/(2)`% per annum.

[Hint : 1 year 146 days = `1(146)/(365)"year" = 1(2)/(5)"year"`]

A man borrows ₹ 4000 at 14% p.a., compound interest, being payable half-yearly. Find the amount he has to pay at the end of 1`(1)/(2)` years.

Calculate the amount and compound interest to the nearest rupee on Rs 42000 for 2 years at 8% per annum, interest being payable half-yearly.

A man lends Rs 15000 at 10.5% per annum C.I., interest reckoned yearly, and another man lends the same sum at 10% per annum, interest being reckoned half-yearly. Who is the gainer at the end of one year and by how much?

The simple interest on a certain sum of money at 4% p.a. for 2 years is Rs1500. What will be the compound interest on the same sum for the same time?

Find the difference between simple and compound interest on Rs 5000 invested for 3 years at 6% p.a., interest payable yearly.

Simple interest on a sum of money for 2 years at 4% is Rs 450. Find the compound interest at the same rate for 1 year if the interest is reckoned half-yearly.

A man borrows Rs 62500 at 8% p.a., simple interest for 2 years. He immediately lends the money out at CI at the same rate and for same time. What is his gain at the end of 2 years?

A man borrows Rs.6500 at 10% per annum compound interest payable half-yearly. He repays Rs.2000 at the end of every six months. Calculate the amount outstanding at the end of the third payment. Give your answer to the nearest rupee.

Find the amount and the compound interest on the following :
Rs.15000 for 2years at 8% per annum compounded semi-annually.

Find the amount and the compound interest on the following :
Rs.25000 for 2 years at 6% per annum compounded semi-annually.

Find the amount and compound interest on Rs.50000 on 1`(1)/(2)` years at 8% p.a. compounded half-yearly.

The simple interest on a certain sum for 3 years at 4% is Rs 600. Find the compound interest for the same sum at the same percent and in the same time.

The difference between simple interest and compound interest compounded annually on a certain sum is Rs.448 for 2 years at 8 percent per annum. Find the sum.

The difference between C.I. payable annually and S.I. on Rs.50,000 for two years is Rs.125 at the same rate of interest per annum. Find the rate of interest.

Factorise the following by grouping the terms:
15xy - 9x - 25y + 15

Factorise the following by grouping the terms:
15x² + 7y - 3x - 35xy

Factorise the following by grouping the terms:
9 + 3xy + x²y + 3x