RS Aggarwal Solutions: Exercise 10C - Profit & Loss | Mathematics (Maths) Class 8 PDF Download

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Question:49
The list price of a refrigerator is Rs 14650. If 6% is charged as sales tax, find the cost of the refrigerator.
Solution:
List price of the refrigerator = Rs 14650
Sales tax = 6% of ?Rs 14650
            = Rs 14650 ×
6
100
= Rs 879
Bill amount = Rs (14650 +879)
                 = Rs 15529
Hence, the cost of the refrigerator is Rs 15,529.
Question:50
Reena bought the following articles from a general store:
i
1 tie costing Rs 250 with ST @ 6%
ii
Medicines costing Rs 625 with ST @ 4%
iii
Cosmetics costing Rs 430 with ST @ 10%
iv
Clothes costing Rs 1175 with ST @ 8%
Calculate the total amount to be paid by Reena.
Solution:
i
 Cost of the tie = Rs. 250
Sales tax = 6 % of Rs 250                 
             = Rs. 250 ×
6
100
= Rs. 15
Hence, bill amount = Rs (250 +15)
                          = Rs. 265
ii
 Cost of the medicines = Rs. 625
Sales tax = 4 % of Rs. 625                 
             = Rs. 625 ×
4
100
= Rs. 25
Hence, bill amount = Rs (625 +25)
                           = Rs 650
(iii) Cost of the cosmetics = Rs 430        Sales tax = 10 % of Rs 430
                      = Rs 430 ×
10
100
= Rs 43
Hence, bill amount = Rs (430 +43)
                          = Rs. 473
(iv) Cost of clothes = Rs 1175      Sales tax = 8 % of Rs 1175
                 = Rs 1175 ×
8
100
= Rs 94
Hence, bill amount = Rs (1175 +94)                                        
                          = Rs. 1269
Therefore, total amount to be paid by Reena = bill amount of all the four items
                                                              = Rs (265 +650 +473 +1269) = Rs 2657
Question:51
Tanvy bought a watch for Rs 1980 including VAT at 10%. Find the original price of the watch.
Solution:
Let the original price of the watch be Rs x.
VAT = 10% of Rs x
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Page 2


      
  
     
          
  
Question:49
The list price of a refrigerator is Rs 14650. If 6% is charged as sales tax, find the cost of the refrigerator.
Solution:
List price of the refrigerator = Rs 14650
Sales tax = 6% of ?Rs 14650
            = Rs 14650 ×
6
100
= Rs 879
Bill amount = Rs (14650 +879)
                 = Rs 15529
Hence, the cost of the refrigerator is Rs 15,529.
Question:50
Reena bought the following articles from a general store:
i
1 tie costing Rs 250 with ST @ 6%
ii
Medicines costing Rs 625 with ST @ 4%
iii
Cosmetics costing Rs 430 with ST @ 10%
iv
Clothes costing Rs 1175 with ST @ 8%
Calculate the total amount to be paid by Reena.
Solution:
i
 Cost of the tie = Rs. 250
Sales tax = 6 % of Rs 250                 
             = Rs. 250 ×
6
100
= Rs. 15
Hence, bill amount = Rs (250 +15)
                          = Rs. 265
ii
 Cost of the medicines = Rs. 625
Sales tax = 4 % of Rs. 625                 
             = Rs. 625 ×
4
100
= Rs. 25
Hence, bill amount = Rs (625 +25)
                           = Rs 650
(iii) Cost of the cosmetics = Rs 430        Sales tax = 10 % of Rs 430
                      = Rs 430 ×
10
100
= Rs 43
Hence, bill amount = Rs (430 +43)
                          = Rs. 473
(iv) Cost of clothes = Rs 1175      Sales tax = 8 % of Rs 1175
                 = Rs 1175 ×
8
100
= Rs 94
Hence, bill amount = Rs (1175 +94)                                        
                          = Rs. 1269
Therefore, total amount to be paid by Reena = bill amount of all the four items
                                                              = Rs (265 +650 +473 +1269) = Rs 2657
Question:51
Tanvy bought a watch for Rs 1980 including VAT at 10%. Find the original price of the watch.
Solution:
Let the original price of the watch be Rs x.
VAT = 10% of Rs x
( )
( )
( )
( )
( )
( )
       = Rs x ×
10
100
= Rs 
10x
100
? Price including VAT = Rs x +
x
10
                                     = Rs 
11x
10
Now, 
11x
10
= 1980
      ? x = 1980 ×
10
11
       = 1800
Hence, the original price of the watch is Rs 1,800.
Question:52
Mohit bought a shirt for Rs 1337.50 including VAT at 7%. Find the original price of the shirt.
Solution:
??Let the original price of the shirt be Rs x.
VAT = 7% of Rs x
       = Rs. x ×
7
100
= Rs.
7x
100
? Price including VAT = Rs. x +
7x
100
                                     = Rs.
107x
100
Now, 
107x
100
= 1337. 50
         ? x = Rs 1337. 50 ×
100
107
       = Rs 1250
Hence, the original price of the shirt is Rs 1,250.
Question:53
Karuna bought 10 g of gold for Rs 15756 including VAT at 1%. What is the rate of gold per 10 g?
Solution:
Let the price of 10 g of gold be Rs x.
VAT = 1 % of Rs x        = Rs x ×
1
100
        = Rs 
x
100
? Price including VAT = Rs. x +
x
100
                                     = Rs 
101x
100
Now, 
101x
100
= 15756 ? x = Rs 15756 ×
100
101
       = Rs 15600
Hence, the price of 10 g of gold is Rs 15,600.
Question:54
Mohini purchased a computer for Rs 37960 including VAT at 4%. What is the original price of the computer?
Solution:
Let the original price of the computer be Rs x.
VAT = 4 % of Rs. x        = Rs. x ×
4
100
       = Rs.
4x
100
? Price including VAT = Rs. x +
4x
100
                                    = Rs.
104x
100
Now, 
104x
100
= 37960 ? x = 37960 ×
100
104
       = 36500
? The original price of the computer is Rs 36,500
Question:55
Sajal purchased some car parts for Rs 20776 including VAT at 12%. What is the original cost of these spare parts?
Solution:
?Let the original cost of the spare parts be Rs x.
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( )
( )
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Page 3


      
  
     
          
  
Question:49
The list price of a refrigerator is Rs 14650. If 6% is charged as sales tax, find the cost of the refrigerator.
Solution:
List price of the refrigerator = Rs 14650
Sales tax = 6% of ?Rs 14650
            = Rs 14650 ×
6
100
= Rs 879
Bill amount = Rs (14650 +879)
                 = Rs 15529
Hence, the cost of the refrigerator is Rs 15,529.
Question:50
Reena bought the following articles from a general store:
i
1 tie costing Rs 250 with ST @ 6%
ii
Medicines costing Rs 625 with ST @ 4%
iii
Cosmetics costing Rs 430 with ST @ 10%
iv
Clothes costing Rs 1175 with ST @ 8%
Calculate the total amount to be paid by Reena.
Solution:
i
 Cost of the tie = Rs. 250
Sales tax = 6 % of Rs 250                 
             = Rs. 250 ×
6
100
= Rs. 15
Hence, bill amount = Rs (250 +15)
                          = Rs. 265
ii
 Cost of the medicines = Rs. 625
Sales tax = 4 % of Rs. 625                 
             = Rs. 625 ×
4
100
= Rs. 25
Hence, bill amount = Rs (625 +25)
                           = Rs 650
(iii) Cost of the cosmetics = Rs 430        Sales tax = 10 % of Rs 430
                      = Rs 430 ×
10
100
= Rs 43
Hence, bill amount = Rs (430 +43)
                          = Rs. 473
(iv) Cost of clothes = Rs 1175      Sales tax = 8 % of Rs 1175
                 = Rs 1175 ×
8
100
= Rs 94
Hence, bill amount = Rs (1175 +94)                                        
                          = Rs. 1269
Therefore, total amount to be paid by Reena = bill amount of all the four items
                                                              = Rs (265 +650 +473 +1269) = Rs 2657
Question:51
Tanvy bought a watch for Rs 1980 including VAT at 10%. Find the original price of the watch.
Solution:
Let the original price of the watch be Rs x.
VAT = 10% of Rs x
( )
( )
( )
( )
( )
( )
       = Rs x ×
10
100
= Rs 
10x
100
? Price including VAT = Rs x +
x
10
                                     = Rs 
11x
10
Now, 
11x
10
= 1980
      ? x = 1980 ×
10
11
       = 1800
Hence, the original price of the watch is Rs 1,800.
Question:52
Mohit bought a shirt for Rs 1337.50 including VAT at 7%. Find the original price of the shirt.
Solution:
??Let the original price of the shirt be Rs x.
VAT = 7% of Rs x
       = Rs. x ×
7
100
= Rs.
7x
100
? Price including VAT = Rs. x +
7x
100
                                     = Rs.
107x
100
Now, 
107x
100
= 1337. 50
         ? x = Rs 1337. 50 ×
100
107
       = Rs 1250
Hence, the original price of the shirt is Rs 1,250.
Question:53
Karuna bought 10 g of gold for Rs 15756 including VAT at 1%. What is the rate of gold per 10 g?
Solution:
Let the price of 10 g of gold be Rs x.
VAT = 1 % of Rs x        = Rs x ×
1
100
        = Rs 
x
100
? Price including VAT = Rs. x +
x
100
                                     = Rs 
101x
100
Now, 
101x
100
= 15756 ? x = Rs 15756 ×
100
101
       = Rs 15600
Hence, the price of 10 g of gold is Rs 15,600.
Question:54
Mohini purchased a computer for Rs 37960 including VAT at 4%. What is the original price of the computer?
Solution:
Let the original price of the computer be Rs x.
VAT = 4 % of Rs. x        = Rs. x ×
4
100
       = Rs.
4x
100
? Price including VAT = Rs. x +
4x
100
                                    = Rs.
104x
100
Now, 
104x
100
= 37960 ? x = 37960 ×
100
104
       = 36500
? The original price of the computer is Rs 36,500
Question:55
Sajal purchased some car parts for Rs 20776 including VAT at 12%. What is the original cost of these spare parts?
Solution:
?Let the original cost of the spare parts be Rs x.
( )
( )
( )
( )
( )
( )
( )
( )
( )
( )
( )
( )
( )
VAT = 12 % of Rs. x        = Rs. x ×
12
100
       = Rs.
12x
100
? Price including VAT = Rs. x +
12x
100
                                      = Rs.
112x
100
Now, 
112x
100
= 20776 ? x = 20776 ×
100
112
       = 18550
Hence, ?the original cost of the spare parts is Rs 18,550.
Question:56
The sale price of a TV set including VAT is Rs 27000. If the VAT is charged at 8% of the list price, what is the list price of the TV set?
Solution:
?Let the list price of the TV set be Rs x.
VAT = 8 % of Rs. x        = Rs. x ×
8
100
        = Rs.
8x
100
? Price including VAT = Rs. x +
8x
100
                                     = Rs.
108x
100
Now, 
108x
100
= 27000 ? x = 27000 ×
100
108
      = 25000
Hence, the list price of the TV set is Rs 25,000.
Question:57
Rohit purchased a pair of shoes for Rs 882 inclusive of VAT. If the original cost be Rs 840, find the rate of VAT.
Solution:
Let the rate of VAT be x%. Then, we have:
840 +x % of 840 = 882 ?
x
100
×840 = 882 -840 ?
84x
10
= 42 ? x = 42 ×
10
84
       = 5
? The rate of VAT is 5%.
Question:58
Malti bought a VCR for Rs 19980 including VAT. If the original price of VCR be Rs 18500, find the rate of VAT.
Solution:
Let the rate of VAT be x%. Then, we have:
   18500 +x % of 18500 = 19980 ?
x
100
×18500 = 19980 -18500 ? 185x = 1480 ? x =
1480
185
       = 8
? The rate of VAT is 8%.
Question:59
The value of a car including VAT is Rs 382500. If the basic price of the car be Rs 340000, find the rate of VAT on cars.
Solution:
Let the rate of VAT be x%. Then, we have:
34000 +x % of 34000 = 382500 ?
x
100
×340000 = 382500 -340000 ? 3400x = 42500 ? x =
42500
3400
       = 12. 5
? The rate of VAT is 12.5%.
   
                 
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