ML Aggarwal: Percentage - 4 - Class 8 PDF Download

 Page 1


 
1. Find the buying price of each of the following when 5% S.T. is 
added on the purchase of 
(i) A towel of ? 50 
(ii) 5 kg of flour at ? 15 per kg. 
Solution: 
(i) It is given that 
S.T. = 5% 
Cost of towel = ? 50 
We know that 
Total S.T. = 

 × 

 = ? 2.50 
So the buying price = 50 + 2.50 = ? 52.50 
(ii) We know that 
C.P. of 5 kg of flour at the rate of ? 15 per kg = 15 × 5 = ? 75 
Rate of S.T. = 5% 
Here 
Total tax = 

 × 

 
So we get 
= 375/100 
= ? 3.75 
So the total price of the flour = 75 + 3.75 = ? 8.75 
 
Page 2


 
1. Find the buying price of each of the following when 5% S.T. is 
added on the purchase of 
(i) A towel of ? 50 
(ii) 5 kg of flour at ? 15 per kg. 
Solution: 
(i) It is given that 
S.T. = 5% 
Cost of towel = ? 50 
We know that 
Total S.T. = 

 × 

 = ? 2.50 
So the buying price = 50 + 2.50 = ? 52.50 
(ii) We know that 
C.P. of 5 kg of flour at the rate of ? 15 per kg = 15 × 5 = ? 75 
Rate of S.T. = 5% 
Here 
Total tax = 

 × 

 
So we get 
= 375/100 
= ? 3.75 
So the total price of the flour = 75 + 3.75 = ? 8.75 
 
2. If 8% of VAT is included in the prices, find the original price of 
(i) A TV bought for ? 13500 
(ii) A shampoo bottle bought for ? 180. 
Solution: 
(i) It is given that 
Total price of TV including VAT = ? 13500 
Rate of VAT = 8% 
We know that 
Original price of TV = 

 × 

 3  
 
By further calculation 
= 

 × 

 
= ? 12500 
(ii) It is given that 
Total cost of shampoo bottle including VAT = ? 180 
Rate of VAT = 8% 
We know that 
Original price of shampoo = 

 × 

 3  
 
By further calculation 
= 

 × 

 
So we get 
= 


 = ? 166.67 
Page 3


 
1. Find the buying price of each of the following when 5% S.T. is 
added on the purchase of 
(i) A towel of ? 50 
(ii) 5 kg of flour at ? 15 per kg. 
Solution: 
(i) It is given that 
S.T. = 5% 
Cost of towel = ? 50 
We know that 
Total S.T. = 

 × 

 = ? 2.50 
So the buying price = 50 + 2.50 = ? 52.50 
(ii) We know that 
C.P. of 5 kg of flour at the rate of ? 15 per kg = 15 × 5 = ? 75 
Rate of S.T. = 5% 
Here 
Total tax = 

 × 

 
So we get 
= 375/100 
= ? 3.75 
So the total price of the flour = 75 + 3.75 = ? 8.75 
 
2. If 8% of VAT is included in the prices, find the original price of 
(i) A TV bought for ? 13500 
(ii) A shampoo bottle bought for ? 180. 
Solution: 
(i) It is given that 
Total price of TV including VAT = ? 13500 
Rate of VAT = 8% 
We know that 
Original price of TV = 

 × 

 3  
 
By further calculation 
= 

 × 

 
= ? 12500 
(ii) It is given that 
Total cost of shampoo bottle including VAT = ? 180 
Rate of VAT = 8% 
We know that 
Original price of shampoo = 

 × 

 3  
 
By further calculation 
= 

 × 

 
So we get 
= 


 = ? 166.67 
3. Utkarsh bought an AC for ? 34992 including a VAT of 8%. Find 
the price of AC before VAT was added. 
Solution: 
It is given that 
Cost of AC including VAT = ? 34992 
Rate of VAT charged = 8% 
We know that 
Original price of AC = 

		
 × 

 3  
 
By further calculation 
= 

		
 × 

 
= ? 32400 
 
4. Gaurav bought a shirt for ?1296 including VAT. If the original 
price of the shirt is ? 1200, find the rate of VAT. 
Solution: 
It is given that 
Cost of shirt including VAT = ? 1296 
Original price of shirt = ? 1200 
We know that 
Amount of VAT = 1296 – 1200 = ? 96 
Here 
Rate of VAT = 

VWX × 
E.;.
 
Substituting the values 
Page 4


 
1. Find the buying price of each of the following when 5% S.T. is 
added on the purchase of 
(i) A towel of ? 50 
(ii) 5 kg of flour at ? 15 per kg. 
Solution: 
(i) It is given that 
S.T. = 5% 
Cost of towel = ? 50 
We know that 
Total S.T. = 

 × 

 = ? 2.50 
So the buying price = 50 + 2.50 = ? 52.50 
(ii) We know that 
C.P. of 5 kg of flour at the rate of ? 15 per kg = 15 × 5 = ? 75 
Rate of S.T. = 5% 
Here 
Total tax = 

 × 

 
So we get 
= 375/100 
= ? 3.75 
So the total price of the flour = 75 + 3.75 = ? 8.75 
 
2. If 8% of VAT is included in the prices, find the original price of 
(i) A TV bought for ? 13500 
(ii) A shampoo bottle bought for ? 180. 
Solution: 
(i) It is given that 
Total price of TV including VAT = ? 13500 
Rate of VAT = 8% 
We know that 
Original price of TV = 

 × 

 3  
 
By further calculation 
= 

 × 

 
= ? 12500 
(ii) It is given that 
Total cost of shampoo bottle including VAT = ? 180 
Rate of VAT = 8% 
We know that 
Original price of shampoo = 

 × 

 3  
 
By further calculation 
= 

 × 

 
So we get 
= 


 = ? 166.67 
3. Utkarsh bought an AC for ? 34992 including a VAT of 8%. Find 
the price of AC before VAT was added. 
Solution: 
It is given that 
Cost of AC including VAT = ? 34992 
Rate of VAT charged = 8% 
We know that 
Original price of AC = 

		
 × 

 3  
 
By further calculation 
= 

		
 × 

 
= ? 32400 
 
4. Gaurav bought a shirt for ?1296 including VAT. If the original 
price of the shirt is ? 1200, find the rate of VAT. 
Solution: 
It is given that 
Cost of shirt including VAT = ? 1296 
Original price of shirt = ? 1200 
We know that 
Amount of VAT = 1296 – 1200 = ? 96 
Here 
Rate of VAT = 

VWX × 
E.;.
 
Substituting the values 
= 

	 × 


 
= 8 % 
 
5. Anjana buys a purse for ? 523.80 including 8% VAT. Find the new 
selling price of the purse if VAT increases to 10%. 
Solution: 
It is given that 
Total C.P. of purse including VAT = ? 523.80 
Rate of VAT = 8% 
We know that 
Actual cost of the purse = 


. × 

 3  
 
By further calculation 
= 


. × 

 
= ? 485 
Here 
New rate of VAT = 10% 
Amount of VAT = 485 × 


 
So we get 
= 


 
= ? 48.50 
So the total cost of the purse = 485 + 48.50 = ? 535.50 
Page 5


 
1. Find the buying price of each of the following when 5% S.T. is 
added on the purchase of 
(i) A towel of ? 50 
(ii) 5 kg of flour at ? 15 per kg. 
Solution: 
(i) It is given that 
S.T. = 5% 
Cost of towel = ? 50 
We know that 
Total S.T. = 

 × 

 = ? 2.50 
So the buying price = 50 + 2.50 = ? 52.50 
(ii) We know that 
C.P. of 5 kg of flour at the rate of ? 15 per kg = 15 × 5 = ? 75 
Rate of S.T. = 5% 
Here 
Total tax = 

 × 

 
So we get 
= 375/100 
= ? 3.75 
So the total price of the flour = 75 + 3.75 = ? 8.75 
 
2. If 8% of VAT is included in the prices, find the original price of 
(i) A TV bought for ? 13500 
(ii) A shampoo bottle bought for ? 180. 
Solution: 
(i) It is given that 
Total price of TV including VAT = ? 13500 
Rate of VAT = 8% 
We know that 
Original price of TV = 

 × 

 3  
 
By further calculation 
= 

 × 

 
= ? 12500 
(ii) It is given that 
Total cost of shampoo bottle including VAT = ? 180 
Rate of VAT = 8% 
We know that 
Original price of shampoo = 

 × 

 3  
 
By further calculation 
= 

 × 

 
So we get 
= 


 = ? 166.67 
3. Utkarsh bought an AC for ? 34992 including a VAT of 8%. Find 
the price of AC before VAT was added. 
Solution: 
It is given that 
Cost of AC including VAT = ? 34992 
Rate of VAT charged = 8% 
We know that 
Original price of AC = 

		
 × 

 3  
 
By further calculation 
= 

		
 × 

 
= ? 32400 
 
4. Gaurav bought a shirt for ?1296 including VAT. If the original 
price of the shirt is ? 1200, find the rate of VAT. 
Solution: 
It is given that 
Cost of shirt including VAT = ? 1296 
Original price of shirt = ? 1200 
We know that 
Amount of VAT = 1296 – 1200 = ? 96 
Here 
Rate of VAT = 

VWX × 
E.;.
 
Substituting the values 
= 

	 × 


 
= 8 % 
 
5. Anjana buys a purse for ? 523.80 including 8% VAT. Find the new 
selling price of the purse if VAT increases to 10%. 
Solution: 
It is given that 
Total C.P. of purse including VAT = ? 523.80 
Rate of VAT = 8% 
We know that 
Actual cost of the purse = 


. × 

 3  
 
By further calculation 
= 


. × 

 
= ? 485 
Here 
New rate of VAT = 10% 
Amount of VAT = 485 × 


 
So we get 
= 


 
= ? 48.50 
So the total cost of the purse = 485 + 48.50 = ? 535.50 
6. A wall hanging is marked for ? 4800. The shopkeeper offers 10% 
discount on it. If VAT is received 8% from the customer, find the 
amount paid by the customer to purchase the wall hanging. 
Solution: 
It is given that 
Marked price of wall hanging = ? 4800 
Discount offered = 10% 
We know that 
Net sale price = !4800 ×

 – 

( 
By further calculation 
= 

 × 	

 
= ? 4320 
Here 
Rate of VAT charged = 8% 
So the sale price including VAT = !4320 ×

 3  

( 
By further calculation 
= 


 × 

 
= 


 
= ? 4665.60 
 
7. Amit goes to a shop to buy a washing machine. The marked price 
of the washing machine is ? 10900 excluding 9% VAT. Amit bargains