(English Medium) ICSE Class 10 - CISCE Important Questions for Mathematics

The compound interest, calculated yearly, on a certain sum of money for the second year is Rs. 1320 and for the third year is Rs. 1452. Calculate the rate of interest and the original sum of money

At what rate % p.a. will a sum of Rs. 4000 yield Rs. 1324 as compound interest in 3 years?

A shopkeeper sells an article at the listed price of ₹ 1500 and the rate of VAT is 12% at each stage of the sale. If the shopkeeper pays a VAT of ₹ 36 to the Government, what was the amount inclusive of tax at which the shopkeeper purchased the articles from the wholesaler?

On what sum of money will the difference between the compound interest and simple interest for 2 years be equal to Rs. 25 if the rate of interest charged for both is 5% p.a.?

The printed price of an article is ₹ 60000. The wholesaler allows a discount of 20% to the shopkeeper. The shopkeeper sells the article to the customer at the printed price. Sales tax (under VAT) is charged at the rate of 6% at every stage. Find :
(i) the cost to the shopkeeper inclusive of tax.
(ii) VAT paid by the shopkeeper to the Government.
(iii) the cost to the customer inclusive of tax.

Mr Kumar borrowed Rs. 15000 for two years. The rates of interest for two successive years are 8% and 10% respectively. If he repays Rs. 6200 at the end of the first year, find the outstanding amount at the end of the second year.

In what period of time will Rs. 12,000 yield Rs. 3972 as compound interest at 10% per annum, if compounded on a yearly basis?

Tarun bought and article for Rs. 8000 and spent Rs. 1000 for transportation. He marked the article Rs. 11,700 and sold it to a customer. If the customer had to pay 10% sales tax, find:
(1) the customer’s price
(2) Tarun’s profit percent.

Nikita invests Rs. 6000 for two years at a certain rate of interest compounded annually. At the end of the first year, it amounts to Rs. 6720. Calculate:

1) the rate of interest.

2) the amount at the end of the second year.

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.

A manufacturer marks an article for Rs. 5000. He sells it to a wholesaler at a discount of 25% on the marked price and the wholesaler sells it to a retailer at a discount of 15% on the marked price. The retailer sells it to a consumer at the marked price and at each stage, the VAT is 8%. Calculate the amount of VAT received by the government from:
(1) the wholesaler,
(2) the retailer.

The printed price of an article is ₹ 3080. If the rate of GST is 10%, then the GST charged is ______.

Mrs. Arora bought the following articles from a departmental store:

Find the:

1. Total GST paid,
2. Total bill amount including GST.

For an Intra-state sale, the CGST paid by a dealer to the Central government is ₹ 120. If the marked price of the article is ₹ 2000, the rate of GST is ______.

Rohan bought the following eatables for his friends:

Calculate:

1. Total GST paid.
2. Total bill amount including GST.

An article which is marked at ₹ 1200 is available at a discount of 20% and the rate of GST is 18%. The amount of SGST is ______.

The following bill shows the GST rate and the marked price of articles:

Find the total amount to be paid (including GST) for the above bill.

A page from a savings bank account passbook is given below:

1) Calculate the interest for the 6 months from January to June 2016, at 6% per annum.

2) If the account is closed on 1st July 2016, find the amount received by the account holder.

Mr. Richard has a recurring deposit account in a bank for 3 years at 7.5% p.a. simple interest. If he gets Rs. 8325 interest at the time of maturity, find

1. the monthly deposit
2. the maturity value.

A page from the savings bank account of Mrs Ravi is given below.

She closed the account on 30th September 2006. Calculate the interest Mrs Ravi earned
at the end of 30th September 2006 at 4.5% per annum interest. Hence, find the
amount she receives on closing the account.