Class 8 Exam > Class 8 Notes > Mathematics (Maths) Class 8 > Profit, Loss, Discount and Value Added Tax (VAT) - Exercise 13.3
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Page 1
EXERCISE 13.3 PAGES NO: 13.32
1. The list price of a refrigerator is Rs. 9700. If a value added tax of 6% is to be
charged on it, how much one has to pay to buy the refrigerator?
Solution:
Given,
The list price of a refrigerator is = Rs 9700
VAT = 6%
Rate of VAT = 6% of Rs 9700
= 6/100 × 9700
= Rs 582
? The total amount one has to pay to buy refrigerator is Rs 9700 + Rs 582 = Rs 10282
2. Vikram bought a watch for Rs. 825. If this amount includes 10% VAT on the list
prices. What was the list price of the watch?
Given,
Vikram bought watch for = Rs 825
VAT = 10%
Let the list price of the watch be = Rs x
VAT at the rate of 10% on Rs x = Rs 10/100 × x = Rs x/10
So, the list price of the watch = Rs (x + x/10) = Rs 11x/10
It is given that watch is bought at the price of Rs 825
? 11x/10 = 825
x = (825×10)/11
= 750
? List price of the watch is Rs 750
3. Aman bought a shirt for Rs. 374.50 which includes 7% VAT. Find the list price of
the shirt.
Solution:
Given,
Aman bought a shirt for = Rs 374.50
VAT = 7%
Let the list price of the shirt be = Rs x
VAT at the rate of 7% on Rs x = Rs 7/100 × x = Rs 7x/100
So, the list price of the shirt = Rs (x + 7x/100) = Rs 107x/100
It is given that shirt is bought at the price of Rs 374.50
? 107x/100 = 374.50
x = (374.50×100)/107
Page 2
EXERCISE 13.3 PAGES NO: 13.32
1. The list price of a refrigerator is Rs. 9700. If a value added tax of 6% is to be
charged on it, how much one has to pay to buy the refrigerator?
Solution:
Given,
The list price of a refrigerator is = Rs 9700
VAT = 6%
Rate of VAT = 6% of Rs 9700
= 6/100 × 9700
= Rs 582
? The total amount one has to pay to buy refrigerator is Rs 9700 + Rs 582 = Rs 10282
2. Vikram bought a watch for Rs. 825. If this amount includes 10% VAT on the list
prices. What was the list price of the watch?
Given,
Vikram bought watch for = Rs 825
VAT = 10%
Let the list price of the watch be = Rs x
VAT at the rate of 10% on Rs x = Rs 10/100 × x = Rs x/10
So, the list price of the watch = Rs (x + x/10) = Rs 11x/10
It is given that watch is bought at the price of Rs 825
? 11x/10 = 825
x = (825×10)/11
= 750
? List price of the watch is Rs 750
3. Aman bought a shirt for Rs. 374.50 which includes 7% VAT. Find the list price of
the shirt.
Solution:
Given,
Aman bought a shirt for = Rs 374.50
VAT = 7%
Let the list price of the shirt be = Rs x
VAT at the rate of 7% on Rs x = Rs 7/100 × x = Rs 7x/100
So, the list price of the shirt = Rs (x + 7x/100) = Rs 107x/100
It is given that shirt is bought at the price of Rs 374.50
? 107x/100 = 374.50
x = (374.50×100)/107
= 350
? List price of the shirt is Rs 350
4. Rani purchases a pair of shoes whose sale price is Rs. 175. If she pays VAT at the
rate of 7%, how much amount does she pay as VAT? Also, find the net value of the
pair of shoes.
Solution:
Given,
Sale price of shoes = Rs.175
VAT = 7%
VAT at the rate 7% of 175 = 7/100 × 175 = Rs 12.25
? Net value of pair of shoes = sale price +VAT
= 175 + 12.25 = Rs 187.25
5. Swarna paid Rs. 20 as VAT on a pair of shoes worth Rs. 250. Find the rate of
VAT.
Solution:
Given,
List price of shoes = Rs.250
Let VAT be = x%
So, VAT at the rate x% of 250 = 20 (Given)
x = (20×100)/250 = 8%
? VAT = 8%
6. Sarita buys goods worth Rs. 5500. She gets a rebate of 5% on it. After getting the
rebate if VAT at the rate of 5% is charged, find the amount she will have to pay for
the goods.
Solution:
Given,
Price of goods is = Rs 5500
Discount = 5%
VAT = 5% of selling price
So,
Selling price = 95/100 × 5500 = Rs 5225
And,
VAT = 5/100 × 5225 = Rs 261.25
? Sarita has to pay an amount of Rs (5225 + 261.25) = Rs 5486.25 for the goods
Page 3
EXERCISE 13.3 PAGES NO: 13.32
1. The list price of a refrigerator is Rs. 9700. If a value added tax of 6% is to be
charged on it, how much one has to pay to buy the refrigerator?
Solution:
Given,
The list price of a refrigerator is = Rs 9700
VAT = 6%
Rate of VAT = 6% of Rs 9700
= 6/100 × 9700
= Rs 582
? The total amount one has to pay to buy refrigerator is Rs 9700 + Rs 582 = Rs 10282
2. Vikram bought a watch for Rs. 825. If this amount includes 10% VAT on the list
prices. What was the list price of the watch?
Given,
Vikram bought watch for = Rs 825
VAT = 10%
Let the list price of the watch be = Rs x
VAT at the rate of 10% on Rs x = Rs 10/100 × x = Rs x/10
So, the list price of the watch = Rs (x + x/10) = Rs 11x/10
It is given that watch is bought at the price of Rs 825
? 11x/10 = 825
x = (825×10)/11
= 750
? List price of the watch is Rs 750
3. Aman bought a shirt for Rs. 374.50 which includes 7% VAT. Find the list price of
the shirt.
Solution:
Given,
Aman bought a shirt for = Rs 374.50
VAT = 7%
Let the list price of the shirt be = Rs x
VAT at the rate of 7% on Rs x = Rs 7/100 × x = Rs 7x/100
So, the list price of the shirt = Rs (x + 7x/100) = Rs 107x/100
It is given that shirt is bought at the price of Rs 374.50
? 107x/100 = 374.50
x = (374.50×100)/107
= 350
? List price of the shirt is Rs 350
4. Rani purchases a pair of shoes whose sale price is Rs. 175. If she pays VAT at the
rate of 7%, how much amount does she pay as VAT? Also, find the net value of the
pair of shoes.
Solution:
Given,
Sale price of shoes = Rs.175
VAT = 7%
VAT at the rate 7% of 175 = 7/100 × 175 = Rs 12.25
? Net value of pair of shoes = sale price +VAT
= 175 + 12.25 = Rs 187.25
5. Swarna paid Rs. 20 as VAT on a pair of shoes worth Rs. 250. Find the rate of
VAT.
Solution:
Given,
List price of shoes = Rs.250
Let VAT be = x%
So, VAT at the rate x% of 250 = 20 (Given)
x = (20×100)/250 = 8%
? VAT = 8%
6. Sarita buys goods worth Rs. 5500. She gets a rebate of 5% on it. After getting the
rebate if VAT at the rate of 5% is charged, find the amount she will have to pay for
the goods.
Solution:
Given,
Price of goods is = Rs 5500
Discount = 5%
VAT = 5% of selling price
So,
Selling price = 95/100 × 5500 = Rs 5225
And,
VAT = 5/100 × 5225 = Rs 261.25
? Sarita has to pay an amount of Rs (5225 + 261.25) = Rs 5486.25 for the goods
7. The cost of furniture inclusive of VAT is Rs. 7150. If the rate of VAT is 10%, find
the original cost of the furniture.
Solution:
Given,
Cost of furniture inclusive of VAT is = Rs 7150
VAT = 10%
Let us consider the original cost of furniture be = Rs x
VAT at the rate of 10% on Rs x = Rs 10/100 × x = Rs 10x/100
So,
x + 10x/100 = 7150
(100x+10x)/100 = 7150
110x/100 =7150
11x/10 = 7150
11x = 7150 × 10
x = 71500/11
= 6500
? Original cost of the furniture is Rs 6500
8. A refrigerator is available for Rs. 13750 including VAT. If the rate of VAT is
10%, find the original cost of the refrigerator.
Solution:
Given,
Cost of refrigerator inclusive of VAT is = Rs 13750
VAT = 10%
Let us consider the original cost of refrigerator be = Rs x
VAT at the rate of 10% on Rs x = Rs 10/100 × x = Rs 10x/100
So,
x + 10x/100 = 13750
(100x+10x)/100 = 13750
110x/100 = 13750
11x/10 = 13750
11x = 13750 × 10
x = 137500/11
= 12500
? Original cost of the refrigerator is Rs 12500
9. A colour T.V. is available for Rs. 13440 inclusive of VAT. If the original cost of
TV is Rs. 12000, find the rate of VAT.
Solution:
Page 4
EXERCISE 13.3 PAGES NO: 13.32
1. The list price of a refrigerator is Rs. 9700. If a value added tax of 6% is to be
charged on it, how much one has to pay to buy the refrigerator?
Solution:
Given,
The list price of a refrigerator is = Rs 9700
VAT = 6%
Rate of VAT = 6% of Rs 9700
= 6/100 × 9700
= Rs 582
? The total amount one has to pay to buy refrigerator is Rs 9700 + Rs 582 = Rs 10282
2. Vikram bought a watch for Rs. 825. If this amount includes 10% VAT on the list
prices. What was the list price of the watch?
Given,
Vikram bought watch for = Rs 825
VAT = 10%
Let the list price of the watch be = Rs x
VAT at the rate of 10% on Rs x = Rs 10/100 × x = Rs x/10
So, the list price of the watch = Rs (x + x/10) = Rs 11x/10
It is given that watch is bought at the price of Rs 825
? 11x/10 = 825
x = (825×10)/11
= 750
? List price of the watch is Rs 750
3. Aman bought a shirt for Rs. 374.50 which includes 7% VAT. Find the list price of
the shirt.
Solution:
Given,
Aman bought a shirt for = Rs 374.50
VAT = 7%
Let the list price of the shirt be = Rs x
VAT at the rate of 7% on Rs x = Rs 7/100 × x = Rs 7x/100
So, the list price of the shirt = Rs (x + 7x/100) = Rs 107x/100
It is given that shirt is bought at the price of Rs 374.50
? 107x/100 = 374.50
x = (374.50×100)/107
= 350
? List price of the shirt is Rs 350
4. Rani purchases a pair of shoes whose sale price is Rs. 175. If she pays VAT at the
rate of 7%, how much amount does she pay as VAT? Also, find the net value of the
pair of shoes.
Solution:
Given,
Sale price of shoes = Rs.175
VAT = 7%
VAT at the rate 7% of 175 = 7/100 × 175 = Rs 12.25
? Net value of pair of shoes = sale price +VAT
= 175 + 12.25 = Rs 187.25
5. Swarna paid Rs. 20 as VAT on a pair of shoes worth Rs. 250. Find the rate of
VAT.
Solution:
Given,
List price of shoes = Rs.250
Let VAT be = x%
So, VAT at the rate x% of 250 = 20 (Given)
x = (20×100)/250 = 8%
? VAT = 8%
6. Sarita buys goods worth Rs. 5500. She gets a rebate of 5% on it. After getting the
rebate if VAT at the rate of 5% is charged, find the amount she will have to pay for
the goods.
Solution:
Given,
Price of goods is = Rs 5500
Discount = 5%
VAT = 5% of selling price
So,
Selling price = 95/100 × 5500 = Rs 5225
And,
VAT = 5/100 × 5225 = Rs 261.25
? Sarita has to pay an amount of Rs (5225 + 261.25) = Rs 5486.25 for the goods
7. The cost of furniture inclusive of VAT is Rs. 7150. If the rate of VAT is 10%, find
the original cost of the furniture.
Solution:
Given,
Cost of furniture inclusive of VAT is = Rs 7150
VAT = 10%
Let us consider the original cost of furniture be = Rs x
VAT at the rate of 10% on Rs x = Rs 10/100 × x = Rs 10x/100
So,
x + 10x/100 = 7150
(100x+10x)/100 = 7150
110x/100 =7150
11x/10 = 7150
11x = 7150 × 10
x = 71500/11
= 6500
? Original cost of the furniture is Rs 6500
8. A refrigerator is available for Rs. 13750 including VAT. If the rate of VAT is
10%, find the original cost of the refrigerator.
Solution:
Given,
Cost of refrigerator inclusive of VAT is = Rs 13750
VAT = 10%
Let us consider the original cost of refrigerator be = Rs x
VAT at the rate of 10% on Rs x = Rs 10/100 × x = Rs 10x/100
So,
x + 10x/100 = 13750
(100x+10x)/100 = 13750
110x/100 = 13750
11x/10 = 13750
11x = 13750 × 10
x = 137500/11
= 12500
? Original cost of the refrigerator is Rs 12500
9. A colour T.V. is available for Rs. 13440 inclusive of VAT. If the original cost of
TV is Rs. 12000, find the rate of VAT.
Solution:
Given,
Cost of TV inclusive of VAT is = Rs 13440
Original cost of the TV is = Rs 12000
So, let us consider the rate of VAT = x%
VAT at the rate of x% on Rs 12000 = Rs x/100 × 12000 = Rs 120x
So,
12000 + 120x = 13440
120x = 13440-12000
120x = 1440
x = 1440/120
= 12
? Rate of VAT = 12%
10. Reena goes to a shop to buy a radio, costing Rs. 2568. The rate of VAT is 7%.
She tells the shopkeeper to reduce the price of the radio such that she has to pay Rs.
2568, inclusive of VAT. Find the reduction needed in the price of radio.
Solution:
Given,
Cost of the radio is = Rs 2568
VAT = 7%
Let the reduced price of the radio after discount be Rs x.
Then,
VAT = 7% of x = Rs 7x/100
So, SP = Rs (x+7x/100) = Rs 107x/100
It is given that the selling price should be Rs 2568
107x/100 = 2568
107x = 2568 × 100
x = 256800/107
= 2400
Reduced price of the radio after discount = Rs 2400
? Reduction needed in the price of the radio is Rs (2568 - 2400) = Rs 168
11. Rajat goes to a departmental store and buys the following articles:
Item Price per item Rate of VAT
2 Pairs of shoes
1 sewing machine
2 tea – sets
Rs 800
Rs 1500
Rs 650
5%
6%
4%
Calculate the total amount he has to pay to the store.
Page 5
EXERCISE 13.3 PAGES NO: 13.32
1. The list price of a refrigerator is Rs. 9700. If a value added tax of 6% is to be
charged on it, how much one has to pay to buy the refrigerator?
Solution:
Given,
The list price of a refrigerator is = Rs 9700
VAT = 6%
Rate of VAT = 6% of Rs 9700
= 6/100 × 9700
= Rs 582
? The total amount one has to pay to buy refrigerator is Rs 9700 + Rs 582 = Rs 10282
2. Vikram bought a watch for Rs. 825. If this amount includes 10% VAT on the list
prices. What was the list price of the watch?
Given,
Vikram bought watch for = Rs 825
VAT = 10%
Let the list price of the watch be = Rs x
VAT at the rate of 10% on Rs x = Rs 10/100 × x = Rs x/10
So, the list price of the watch = Rs (x + x/10) = Rs 11x/10
It is given that watch is bought at the price of Rs 825
? 11x/10 = 825
x = (825×10)/11
= 750
? List price of the watch is Rs 750
3. Aman bought a shirt for Rs. 374.50 which includes 7% VAT. Find the list price of
the shirt.
Solution:
Given,
Aman bought a shirt for = Rs 374.50
VAT = 7%
Let the list price of the shirt be = Rs x
VAT at the rate of 7% on Rs x = Rs 7/100 × x = Rs 7x/100
So, the list price of the shirt = Rs (x + 7x/100) = Rs 107x/100
It is given that shirt is bought at the price of Rs 374.50
? 107x/100 = 374.50
x = (374.50×100)/107
= 350
? List price of the shirt is Rs 350
4. Rani purchases a pair of shoes whose sale price is Rs. 175. If she pays VAT at the
rate of 7%, how much amount does she pay as VAT? Also, find the net value of the
pair of shoes.
Solution:
Given,
Sale price of shoes = Rs.175
VAT = 7%
VAT at the rate 7% of 175 = 7/100 × 175 = Rs 12.25
? Net value of pair of shoes = sale price +VAT
= 175 + 12.25 = Rs 187.25
5. Swarna paid Rs. 20 as VAT on a pair of shoes worth Rs. 250. Find the rate of
VAT.
Solution:
Given,
List price of shoes = Rs.250
Let VAT be = x%
So, VAT at the rate x% of 250 = 20 (Given)
x = (20×100)/250 = 8%
? VAT = 8%
6. Sarita buys goods worth Rs. 5500. She gets a rebate of 5% on it. After getting the
rebate if VAT at the rate of 5% is charged, find the amount she will have to pay for
the goods.
Solution:
Given,
Price of goods is = Rs 5500
Discount = 5%
VAT = 5% of selling price
So,
Selling price = 95/100 × 5500 = Rs 5225
And,
VAT = 5/100 × 5225 = Rs 261.25
? Sarita has to pay an amount of Rs (5225 + 261.25) = Rs 5486.25 for the goods
7. The cost of furniture inclusive of VAT is Rs. 7150. If the rate of VAT is 10%, find
the original cost of the furniture.
Solution:
Given,
Cost of furniture inclusive of VAT is = Rs 7150
VAT = 10%
Let us consider the original cost of furniture be = Rs x
VAT at the rate of 10% on Rs x = Rs 10/100 × x = Rs 10x/100
So,
x + 10x/100 = 7150
(100x+10x)/100 = 7150
110x/100 =7150
11x/10 = 7150
11x = 7150 × 10
x = 71500/11
= 6500
? Original cost of the furniture is Rs 6500
8. A refrigerator is available for Rs. 13750 including VAT. If the rate of VAT is
10%, find the original cost of the refrigerator.
Solution:
Given,
Cost of refrigerator inclusive of VAT is = Rs 13750
VAT = 10%
Let us consider the original cost of refrigerator be = Rs x
VAT at the rate of 10% on Rs x = Rs 10/100 × x = Rs 10x/100
So,
x + 10x/100 = 13750
(100x+10x)/100 = 13750
110x/100 = 13750
11x/10 = 13750
11x = 13750 × 10
x = 137500/11
= 12500
? Original cost of the refrigerator is Rs 12500
9. A colour T.V. is available for Rs. 13440 inclusive of VAT. If the original cost of
TV is Rs. 12000, find the rate of VAT.
Solution:
Given,
Cost of TV inclusive of VAT is = Rs 13440
Original cost of the TV is = Rs 12000
So, let us consider the rate of VAT = x%
VAT at the rate of x% on Rs 12000 = Rs x/100 × 12000 = Rs 120x
So,
12000 + 120x = 13440
120x = 13440-12000
120x = 1440
x = 1440/120
= 12
? Rate of VAT = 12%
10. Reena goes to a shop to buy a radio, costing Rs. 2568. The rate of VAT is 7%.
She tells the shopkeeper to reduce the price of the radio such that she has to pay Rs.
2568, inclusive of VAT. Find the reduction needed in the price of radio.
Solution:
Given,
Cost of the radio is = Rs 2568
VAT = 7%
Let the reduced price of the radio after discount be Rs x.
Then,
VAT = 7% of x = Rs 7x/100
So, SP = Rs (x+7x/100) = Rs 107x/100
It is given that the selling price should be Rs 2568
107x/100 = 2568
107x = 2568 × 100
x = 256800/107
= 2400
Reduced price of the radio after discount = Rs 2400
? Reduction needed in the price of the radio is Rs (2568 - 2400) = Rs 168
11. Rajat goes to a departmental store and buys the following articles:
Item Price per item Rate of VAT
2 Pairs of shoes
1 sewing machine
2 tea – sets
Rs 800
Rs 1500
Rs 650
5%
6%
4%
Calculate the total amount he has to pay to the store.
Solution:
Given,
CP of 2 pair of shoes = Rs 800×2 = Rs 1600
Rate of VAT = 5%
So,
VAT = 5% of 1600 = 5/100 × 1600 = Rs 80
So, amount Rajat paid for 2 pair of shoes = Rs (1600+80) = Rs 1680
CP of 1 sewing machine = Rs 1500
Rate of VAT = 6%
So,
VAT = 6% of 1500 = 6/100 × 1500 = Rs 90
So, amount Rajat paid for 1 sewing machine = Rs (1500+90) = Rs 1590
CP of 2 tea-sets = Rs.650 ×2 = Rs 1300
Rate of VAT = 4 %
VAT = 4% of 1300 = 4/100 × 1300 = Rs 52
So, amount Rajat paid for 2 tea-sets = Rs (1300+52) = Rs 1352
? Total amount Rajat needs to pay is Rs (1680+1590+1352) = Rs 4662
12. Ajit buys a motorcycle for Rs. 17600 including value added tax. If the rate of
VAT is 10%, what is the sale price of the motorcycle?
Solution:
Given,
Cost of motorcycle including VAT = Rs 17600
Rate of VAT = 10%
Let us consider the sale price be = Rs x
VAT at the rate of 10% on Rs x = Rs 10/100 × x = Rs 10x/100
So,
x + 10x/100 = 17600
11x/10 = 17600
11x = 17600×10
x = 176000/11
= 16000
? Sale price of the motorcycle is Rs 16000
13. Manoj buys a leather coat costing Rs. 900 at Rs. 990 after paying the VAT.
Calculate the rate of VAT charged on the coat.
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The "Profit, Loss, Discount and Value Added Tax (VAT) - Exercise 13.3 Class 8 Questions" guide is a valuable resource for all aspiring students preparing for the
Class 8 exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study Profit, Loss, Discount and Value Added Tax (VAT) - Exercise 13.3 on the App
Students of Class 8 can study Profit, Loss, Discount and Value Added Tax (VAT) - Exercise 13.3 alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Profit, Loss, Discount and Value Added Tax (VAT) - Exercise 13.3,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Profit, Loss, Discount and Value Added Tax (VAT) - Exercise 13.3 is prepared as per the latest Class 8 syllabus.
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