solutions quiz

John purchased a pair of shoes costing Rs. 850 

including Sales Tax.

 If the rate of Sales Tax is 8%, find the sale price 

of the shoes.

Solution:

Sale price of shoes = Rs. 850

And,

Sales Tax = 6% of Rs. 850 = Rs. 51

Therefore,

The total amount paid by John

= Rs. 850 + Rs. 51

= Rs. 901     -Ans. 

PRIME FACTORS

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FIND MORE TOPICS:

Finding the prime factors of a number

Example. Find the prime factors of 30.

30=10x3.  Here , 10 and 3 are factors of 30.

The number 10 can be written as a product of its factors as : 2 x 5. Thus, the prime factors of 30 are :

30 = 2 x 5 x 3. ( 2, 5, 3are prime numbers.)

Finding the prime factors of a number is the same as writing a number as a product of its prime factors. 

Tests of divisibility are useful in finding out prime factors.

The amount of VAT

vat is a new method of realising tax on the sale/ purchase of  goods.

A manufacturing company sold a commodity to 

its distributor for Rs. 22, 000 including VAT. 

The distributor sold the commodity to a retailer 

for Rs. 22, 000 (excluding tax) and the retailer sold it to the consumer for Rs. 25, 000 plus tax under VAT. 

If the rate of tax at each stage is 10%, 

what was the:

i) Sale price of the commodity 

for the manufacturer?

ii) The amount of VAT paid by the retailer? 

QUIZ OF THE DAY

Mr. Fernandez purchased an article for Rs. 702 including Sales Tax. 
If the rate of Sales Tax is 8%, find the sales price of the article.

QUIZ OF THE DAY

John purchased a pair of shoes costing Rs. 850 

including Sales Tax. 

If the rate of Sales Tax is 8%, 

find the sale price of the shoes. 

QUIZ OF THE DAY

Find the next two terms of the sequence :

2, 4, 8, 16, …..                      

Arithmetic Progression

Arithmetic Progression

Topic -1 Sequence & Its Types

Quick Review –

Ø  Sequence : A Sequence is a collection of numbers arranged in a definite order according to some definite rule.

Example :

(i)  1, 4, 9, 16, ……(Collection of Perfect squares of Natural numbers)

(ii) 1, 3, 5, 7, …….(Collection of Positive odd Integers)

(iii) −2, − 4, − 6, …..(Collection of Negative even Integers)

Ø  Types of Sequence :

(a) Finite Sequence :

If the number of terms in a sequence is finite (Countable), i.e.,

 if there is an end of terms in the

     sequence, then it is called a finite sequence.

e.g., : 1, 2, 3, ….. 20.

(b)  Infinite Sequence : 

If the number of terms in a sequence is infinite, then it is called an infinite sequence.

      

 e.g., : 1, 3, 5, 7, ………..