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Blackberry publication class 8 maths chapter comparing quantities exercise 9C

Exercise 9(A)   Exercise 9(B)   Exercise 9(C)   Exercise 9(D)

EXERCISE 9(C)


QUESTION 1

An air conditioner is tested at ₹ 15000.What is the cost of the air conditioner to the customer, if he has to pay 5% as the sale tax?

Sol:

Cost Price of air conditioner= ₹ 15,000

Sale tax = 5% of 15,000

=\dfrac{5}{100}\times 15,000

= 750

So , the costumer has to pay a total amount = C.P of air conditioner + Sale tax

total amount = 15,000 + 750

= 15,750

 


QUESTION 2

An item is listed at ₹ 195. A sale tax @ 2% is added . What is the cost of the item to the customer?

Sol :

Cost Price of item = ₹ 195

Sale tax = 2% of 195

=\dfrac{2}{100}\times 195

= 3.9

Total amount that has to be paid = C.P of item + Sale tax

= 195 + 3.9

=198.9

 


QUESTION 3

Rahul purchased a coat for ₹ 1260 including tax of 5% VAT.What is the cost of the item before VAT was added?

Sol :

Let the original price be x

Which means original price + VAT = 1260

x + ( 5% of x ) = 1260

x+\dfrac{5x}{100}=1260

\dfrac{100x+5x}{100}=1260

\dfrac{\phantom{x}105x}{100}=1260

105x=1260 \times 100

105x=126000

x=\dfrac{126000}{105}

x = 1,200

So , the original amount is 1,200

 


QUESTION 4

An item is sold at ₹ 4995 in advise of 7% VAT. What is the cost of the item before VAT is added?

Sol :

 

Let the original price be x

Which means original price + VAT = 4995

x + ( 7% of x ) = 4995

x+\dfrac{7x}{100}=4995

\dfrac{100x+7x}{100}=4995

\dfrac{\phantom{x}107x}{100}=4995

107x=4995 \times 100

107x=499500

x=\dfrac{499500}{107}

x = 4,668.22

So , the original amount is 4,668.22


 

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