Frank Solutions for Class 10 Maths Chapter 2 Sales Tax and Value Added Tax, are provided here. BYJUâ€™S tutor team has prepared solutions which help students attain good marks in Maths. From the exam point of view, the solutions are solved in a simple manner where students can secure an excellent score by solving the Frank Solutions for Class 10 Maths Chapter 2. Solutions that are provided here will help you in getting acquainted with a wide variety of questions and thus, develop problem-solving skills.
Chapter 2 – Sales Tax and Value Added Tax, Sales tax is an amount of money, calculated as a percentage that is added to the cost of a product or service when purchased by a consumer at a retail location. Value Added Tax is paid at each stage in the production of goods or services and by the final customer.
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1. The marked price and the rate of sales tax of different items are given below. Calculate the amount to be paid for each of them:
S. No. |
Item |
Marked Price |
Rate of Sales Tax |
(i) |
Walkman |
â‚¹ 1,750.00 |
8.5% |
(ii) |
Washing machine |
â‚¹14,840.00 |
7.5% |
(iii) |
Computer |
â‚¹ 32,725.00 |
12% |
(iv) |
Sofa set |
â‚¹ 16,000.00 |
11.5% |
(v) |
T.V. |
â‚¹ 28,975.00 |
16% |
(vi) |
Jacket |
â‚¹ 1,260.00 |
10% |
(vii) |
Camera |
â‚¹ 4,500.00 |
9% |
(viii) |
Air conditioner |
â‚¹ 21,650.00 |
14% |
Solution:-
(i)
From the table it is given that,
Marked price = â‚¹ 1,750, Rate of sales tax = 8.5%
We know that, Sales tax = (marked price Ã— rate of sale tax)/100
= (1,750 Ã— 8.5)/100
= â‚¹ 148.75
Then, Amount = marked price + sales tax
= â‚¹ 1,750 + â‚¹ 148.75
= â‚¹ 1,898.75
(ii)
From the table it is given that,
Marked price = â‚¹ 14,840, Rate of sales tax = 7.5%
We know that, Sales tax = (marked price Ã— rate of sale tax)/100
= (14,840 Ã— 7.5)/100
= â‚¹ 1,113
Then, Amount = marked price + sales tax
= â‚¹ 14,840 + â‚¹ 1,113
= â‚¹ 15,953
(iii)
From the table it is given that,
Marked price = â‚¹ 32,725, Rate of sales tax = 12%
We know that, Sales tax = (marked price Ã— rate of sale tax)/100
= (32,725 Ã— 12)/100
= â‚¹ 3,927
Then, Amount = marked price + sales tax
= â‚¹ 32,725 + â‚¹ 3,927
= â‚¹ 36,652
(iv)
From the table it is given that,
Marked price = â‚¹ 16,000, Rate of sales tax = 11.5%
We know that, Sales tax = (marked price Ã— rate of sale tax)/100
= (16,000 Ã— 11.5)/100
= â‚¹ 1,840
Then, Amount = marked price + sales tax
= â‚¹ 16,000 + â‚¹ 1,840
= â‚¹ 17,840
(v)
From the table it is given that,
Marked price = â‚¹ 28,975, Rate of sales tax = 16%
We know that, Sales tax = (marked price Ã— rate of sale tax)/100
= (28,975 Ã— 16)/100
= â‚¹ 4,636
Then, Amount = marked price + sales tax
= â‚¹ 28,975 + â‚¹ 4,636
= â‚¹ 33,611
(vi)
From the table it is given that,
Marked price = â‚¹ 1,260, Rate of sales tax = 10%
We know that, Sales tax = (marked price Ã— rate of sale tax)/100
= (1,260 Ã— 10)/100
= â‚¹ 126
Then, Amount = marked price + sales tax
= â‚¹ 1,260 + â‚¹ 126
= â‚¹ 1,385
(vii)
From the table it is given that,
Marked price = â‚¹ 4,500, Rate of sales tax = 9%
We know that, Sales tax = (marked price Ã— rate of sale tax)/100
= (4,500 Ã— 9)/100
= â‚¹ 405
Then, Amount = marked price + sales tax
= â‚¹ 4,500 + â‚¹ 405
= â‚¹ 4,905
(viii)
From the table it is given that,
Marked price = â‚¹ 21,650, Rate of sales tax = 14%
We know that, Sales tax = (marked price Ã— rate of sale tax)/100
= (21,650 Ã— 14)/100
= â‚¹ 3,031
Then, Amount = marked price + sales tax
= â‚¹ 21,650 + â‚¹ 3,031
= â‚¹ 24,681
2. Find the rate of sales tax of the following items whose marked price and sales tax are given below:
S. No. |
Item |
Marked Price |
Sales Tax |
(i) |
Shoes |
â‚¹ 2,740.00 |
â‚¹ 137.00 |
(ii) |
Music system |
â‚¹ 16,400.00 |
â‚¹ 2,050.00 |
(iii) |
Vacuum cleaners |
â‚¹ 8,325.00 |
â‚¹ 1,332.00 |
(iv) |
Digital diary |
â‚¹ 3,500.00 |
â‚¹ 367.50 |
(v) |
VCD |
â‚¹ 27,916.00 |
â‚¹ 4,047.82 |
Solution:-
(i)
From the table it is given that,
Marked price = â‚¹ 2,740.00, Sales tax = â‚¹ 137
We know that, Rate of sales tax = (100 Ã— Sale tax)/marked price
= (100 Ã— 137)/2,740.00
= 5%
Therefore, rate of sales tax is 5%.
(ii)
From the table it is given that,
Marked price = â‚¹ 16,400, Sales tax = â‚¹ 2,050
We know that, Rate of sales tax = (100 Ã— Sale tax)/marked price
= (100 Ã— 2,050)/16,400
= 12%
Therefore, rate of sales tax is 12%.
(iii)
From the table it is given that,
Marked price = â‚¹ 8,325, Sales tax = â‚¹ 1,332
We know that, Rate of sales tax = (100 Ã— Sale tax)/marked price
= (100 Ã— 1,332)/8,325
= 16%
Therefore, rate of sales tax is 16%.
(iv)
From the table it is given that,
Marked price = â‚¹ 3,500, Sales tax = â‚¹ 367.50
We know that, Rate of sales tax = (100 Ã— Sale tax)/marked price
= (100 Ã— 367.50)/3,500
= 10.5%
Therefore, rate of sales tax is 10.5%.
(v)
From the table it is given that,
Marked price = â‚¹ 27,916, Sales tax = â‚¹ 4,047.82
We know that, Rate of sales tax = (100 Ã— Sale tax)/marked price
= (100 Ã— 4,047.82)/27,916
= 14.5%
Therefore, rate of sales tax is 14.5%.
3. Find the amount paid by Rajesh to buy a leather bag whose list price is â‚¹ 4,850 and the rate of sales tax is 12%.
Solution:-
From the question it is given that,
List price of the leather bag = â‚¹ 4,850
Then, rate of sales tax = 12%
We know that, Sales tax = (list price Ã— rate of sale tax)/100
= (4,850 Ã— 12)/100
= â‚¹ 582
Then,
The amount paid by Rajesh to buy Leather bag = List price + Sales tax
= â‚¹ 4,850 + â‚¹ 582
= â‚¹ 5,432
4. A watch is listed at â‚¹ 15,500 and the sales tax on it is 18%. Find the selling price of the watch.
Solution:-
From the question it is given that,
Rate of sales tax on watch = 18 %
Listed price of watch = â‚¹ 15,500
We know that, Sales tax = (list price Ã— rate of sale tax)/100
= (15,500 Ã— 18)/100
= â‚¹ 2,790
Then, Selling price of watch = â‚¹ (15,500 + 2,790)
= â‚¹ 18,290
5. Find the selling price of an electronic washing machine priced at â‚¹ 24,600 and carrying a sales tax of 15%.
Solution:-
From the question it is given that,
List price of electronic washing machine = â‚¹ 24,600
Rate of sales tax = 15%
We know that, Sales tax = (list price Ã— rate of sale tax)/100
= (24,600 Ã— 15)/100
= â‚¹ 3,690
Then, Selling price of watch = â‚¹ (24,600 + 3,690)
= â‚¹ 28,290
6. The list price of a chair is â‚¹ 7,500 and the sales tax on it is â‚¹ 1,125. Find the rate of sales tax.
Solution:-
From the question it is given that,
The list price of chair = â‚¹ 7,500
Sales tax = â‚¹ 1,125
We know that, Rate of sales tax = (100 Ã— Sale tax)/marked price
= (100 Ã— 1,125)/7,500
= 15%
Therefore, rate of sales tax is 15%.
7. A samsung plasma T.V. is priced in the showroom at â‚¹ 68,000. The sales tax on it is â‚¹ 14,960. Find the rate of sales tax.
Solution:-
From the question it is give that,
Price of samsung plasma T.V. in the showroom = â‚¹ 68,000
Sales tax = â‚¹ 14,960
We know that, Rate of sales tax = (100 Ã— Sale tax)/marked price
= (100 Ã— 14,960)/68,000
= 22%
Therefore, rate of sales tax is 22%.
8. The marked price of an article is â‚¹ 17,840 and the sales tax on it is â‚¹ 2,230. Find the rate of sales tax.
Solution:-
From the question it is given that,
The marked price of an article is â‚¹ 17,840
The sales tax = â‚¹ 2,230
We know that, Rate of sales tax = (100 Ã— Sale tax)/marked price
= (100 Ã— 2,230)/17,840
= 12.5%
Therefore, rate of sales tax is 12.5%.
9. The total cost of a refrigerator including sales tax is â‚¹ 30,940. If the rate of sales tax 12 %, find the basic price of the refrigerator.
Solution:-
From the question it is given that,
The total cost of a refrigerator including sales tax is â‚¹ 30,940
The rate of sales tax 12 %
Let us assume the basic price of refrigerator be y.
So, total price of the refrigerator = â‚¹ (y + ((y Ã— 12)/100))
= â‚¹ 112y/100
Then, 112y/100 = â‚¹ 30,940
By cross multiplication we get,
112y = 30,940 Ã— 100
112y = 30,94,000
y = 30,94,000/112
y = â‚¹ 27,625
Therefore, the basic price of refrigerator is â‚¹ 27,625.
10. The price of a T.V. set inclusive of sales tax at the rate of 14% is â‚¹ 30,552. Find the basic price of the T.V. set.
Solution:-
From the question it is given that,
The total cost of a T.V. set including sales tax is â‚¹ 30,552
The rate of sales tax 14 %
Let us assume the basic price of T.V. set be y.
So, total price of the T.V. set = â‚¹ (y + ((y Ã— 14)/100))
= â‚¹ 114y/100
Then, 114y/100 = â‚¹ 30,552
By cross multiplication we get,
114y = 30,552 Ã— 100
114y = 30,55,200
y = 30,55,200/114
y = â‚¹ 26,800
Therefore, the basic price of T.V. set is â‚¹ 27,625.
11. The price of a pair of Nike shoes including sales tax at the rate of 7% is â‚¹ 1,572.90. Find the basic price of the shoes.
Solution:-
From the question it is given that,
The total cost of a Nike shoes including sales tax is â‚¹ 1,572.90
The rate of sales tax 7 %
Let us assume the basic price of Nike shoes be y.
So, total price of the Shoes = â‚¹ (y + ((y Ã— 7)/100))
= â‚¹ 107y/100
Then, 107y/100 = â‚¹ 1,572.90
By cross multiplication we get,
107y = 1,572.90 Ã— 100
107y = 1,57,290
y = 1,57,290/107
y = â‚¹ 1,470
Therefore, the basic price of shoes is â‚¹ 1,470.
12. The price of a scooter including sales tax at the rate of 11% is â‚¹ 37,462.50. Find the basic price of the scooter.
Solution:-
From the question it is given that,
The total cost of a scooter including sales tax is â‚¹ 37,462.50
The rate of sales tax 11 %
Let us assume the basic price of scooter be y.
So, total price of the scooter = â‚¹ (y + ((y Ã— 11)/100))
= â‚¹ 111y/100
Then, 111y/100 = â‚¹ 37,462.50
By cross multiplication we get,
111y = 37,462.50 Ã— 100
111y = 37,46,250
y = 37,46,250/111
y = â‚¹ 33,750
Therefore, the basic price of scooter is â‚¹ 33,750.
13. Laxman went to a shop to buy a fan costing â‚¹ 750. The rate of sales tax is 6%. He requests the shopkeeper to reduce the price to such an extent that he has to pay only â‚¹ 742 including the sales tax. Find the reduction needed in the price of the fan.
Solution:-
From the question it is given that,
The cost of fan is â‚¹ 750
The rate of sales tax 6 %
Let us assume the reduced price of fan be y.
So, total amount of the fan = y + 6% of y
= 1y + (6/100)y
= 106y/100
But, the total amount of the fan to be paid = â‚¹ 742
Then, reduced price = 106y/100 = â‚¹ 742
y = (742 Ã— 100)/106
y = â‚¹ 74,200/106
y = â‚¹ 700
Therefore, reduction needed = â‚¹ 750 – â‚¹ 700 = â‚¹ 50
14. Nirmala went to a shop to buy a titan watch. The cost of the watch was â‚¹ 3,250. The rate of sales tax is 12%. The shopkeeper gave her a discount such that she got the watch for only â‚¹ 3,248. Find the discount given by the shopkeeper.
Solution:-
From the question it is given that,
The cost of titan watch is â‚¹ 3,250
The rate of sales tax 12 %
Let us assume the reduced price of watch be y.
So, total amount of the fan = y + 12 % of y
= 1y + (12/100)y
= 112y/100
But, the total amount of the watch to be paid = â‚¹ 3,248
Then, reduced price = 112y/100 = â‚¹ 3,248
y = (3,248 Ã— 100)/112
y = â‚¹ 3,24,800/112
y = â‚¹ 2,900
Therefore, reduction needed = â‚¹ 3,250 – â‚¹ 2,900 = â‚¹ 350
15. Anurag went to a shop to buy a leather coat coasting â‚¹ 2,654. The sales tax on it is 9%. He requested the shopkeeper to reduce the price to such an extent that he has to pay only â‚¹ 2,616 including the sales tax. Find the reduction given by the shopkeeper.
Solution:-
From the question it is given that,
The cost of titan watch is â‚¹ 2,654
The rate of sales tax 9 %
Let us assume the reduced price of watch be y.
So, total amount of the fan = y + 9 % of y
= 1y + (9/100)y
= 109y/100
But, the total amount of the watch to be paid = â‚¹ 2,616
Then, reduced price = 109y/100 = â‚¹ 2,616
y = (2,616 Ã— 100)/109
y = â‚¹ 2,61,600/109
y = â‚¹ 2,400
Therefore, reduction needed = â‚¹ 2,654 – â‚¹ 2,400 = â‚¹ 254