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Page No 157:
Question 1:
Answer:
(i) CP = Rs. 950
Gain = 6%
(ii) CP = Rs. 9600
Gain =
(iii) CP = Rs. 1540
Loss = 4%
(iv) CP = Rs. 8640
Loss =
Page No 157:
Question 2:
(i) CP = Rs. 950
Gain = 6%
(ii) CP = Rs. 9600
Gain =
(iii) CP = Rs. 1540
Loss = 4%
(iv) CP = Rs. 8640
Loss =
Answer:
(i) CP = Rs. 2400
SP = Rs. 2592
Gain = SP - CP = Rs. ( 2592 - 2400) = Rs. 192
Gain% = =
(ii) CP = Rs. 1650
SP = Rs. 1452
Loss = CP - SP = ( 1650 - 1452) = Rs. 198
Loss% =
(iii) CP = Rs. 12000 and SP = Rs. 12800
Gain = SP - CP = ( 12800 - 12000) = Rs. 800
Gain% =
(iv) CP = Rs. 1800
SP = Rs. 1611
Loss = CP - SP = ( 1800 - 1611) = Rs. 189
Loss% =
Page No 157:
Question 3:
(i) CP = Rs. 2400
SP = Rs. 2592
Gain = SP - CP = Rs. ( 2592 - 2400) = Rs. 192
Gain% = =
(ii) CP = Rs. 1650
SP = Rs. 1452
Loss = CP - SP = ( 1650 - 1452) = Rs. 198
Loss% =
(iii) CP = Rs. 12000 and SP = Rs. 12800
Gain = SP - CP = ( 12800 - 12000) = Rs. 800
Gain% =
(iv) CP = Rs. 1800
SP = Rs. 1611
Loss = CP - SP = ( 1800 - 1611) = Rs. 189
Loss% =
Answer:
(i) SP = Rs. 924
Gain = 10%
(ii) SP = Rs. 1755
Gain =
(iii) SP = Rs. 8510
Loss = 8%
(iv) SP = Rs. 5600
Loss =
Page No 157:
Question 4:
(i) SP = Rs. 924
Gain = 10%
(ii) SP = Rs. 1755
Gain =
(iii) SP = Rs. 8510
Loss = 8%
(iv) SP = Rs. 5600
Loss =
Answer:
Cost price of an almirah = Rs. 13600
Transportation cost = Rs. 400
Total cost price = Rs. (13600 + 400) = Rs. 14000
Selling price = Rs. 16800
Now, SP > CP
( 16800 - 14000) = Rs. 2800
%
%
Page No 157:
Question 5:
Cost price of an almirah = Rs. 13600
Transportation cost = Rs. 400
Total cost price = Rs. (13600 + 400) = Rs. 14000
Selling price = Rs. 16800
Now, SP > CP
( 16800 - 14000) = Rs. 2800
%
%
Answer:
Cost price of the house = Rs. 765000
Cost of repairing the house = Rs. 115000
Total Cost price = (765000 + 115000) = Rs. 880000
Ravi sold it at a gain of 5%.
He gets Rs. 924000.
Page No 157:
Question 6:
Cost price of the house = Rs. 765000
Cost of repairing the house = Rs. 115000
Total Cost price = (765000 + 115000) = Rs. 880000
Ravi sold it at a gain of 5%.
He gets Rs. 924000.
Answer:
CP of 12 lemons (dozen) = Rs. 25
CP of one lemon = Rs.
CP of five lemons = 5 â×
SP of five lemons = Rs. 12 (given)
Gain = SP - CP = ( 12 - 10.42 ) = Rs 1.58
%
%
= 15.2%
Page No 157:
Question 7:
CP of 12 lemons (dozen) = Rs. 25
CP of one lemon = Rs.
CP of five lemons = 5 â×
SP of five lemons = Rs. 12 (given)
Gain = SP - CP = ( 12 - 10.42 ) = Rs 1.58
%
%
= 15.2%
Answer:
Let the cost price of the pen be Re 1.
Cost price of 12 pens = Rs 12
SP of 12 pens = CP of 15 pens = Rs 15
Gain = SP - CP = Rs (15 - 12) = Rs 3
%
Gain% = 25%
Page No 157:
Question 8:
Let the cost price of the pen be Re 1.
Cost price of 12 pens = Rs 12
SP of 12 pens = CP of 15 pens = Rs 15
Gain = SP - CP = Rs (15 - 12) = Rs 3
%
Gain% = 25%
Answer:
Let the cost price of one spoon be Re 1.
CP of 16 spoons = Rs 16
SP of 16 spoons = CP of 15 spoons = Rs 15
Loss = CP - SP = (16 - 15) = Re 1
Loss% = 6.25%
Page No 157:
Question 9:
Let the cost price of one spoon be Re 1.
CP of 16 spoons = Rs 16
SP of 16 spoons = CP of 15 spoons = Rs 15
Loss = CP - SP = (16 - 15) = Re 1
Loss% = 6.25%
Answer:
Cost price of a video = Rs. 12000
SP of a video at a gain of 10% =
So, Rahul purchased at a cost price of Rs. 13200.
Rahul sells it at a loss of 5%.
SP of a video at loss of 5% =
∴ Rakesh pays = Rs. 12540
Page No 157:
Question 10:
Cost price of a video = Rs. 12000
SP of a video at a gain of 10% =
So, Rahul purchased at a cost price of Rs. 13200.
Rahul sells it at a loss of 5%.
SP of a video at loss of 5% =
∴ Rakesh pays = Rs. 12540
Answer:
SP of the sofa set = Rs. 21600
Gain% = 8
He purchased it at the cost of Rs. 20000.
Page No 157:
Question 11:
SP of the sofa set = Rs. 21600
Gain% = 8
He purchased it at the cost of Rs. 20000.
Answer:
SP of the watch = Rs 11400
Loss% = 5
He purchased it at the cost of Rs. 12000.
Page No 157:
Question 12:
SP of the watch = Rs 11400
Loss% = 5
He purchased it at the cost of Rs. 12000.
Answer:
SP of the calculator = Rs. 1325
Gain % = 6
CP of the calculator =
Page No 157:
Question 13:
SP of the calculator = Rs. 1325
Gain % = 6
CP of the calculator =
Answer:
SP of a computer = Rs. 24480
Loss% = 4
In order to gain 4%:
Page No 157:
Question 14:
SP of a computer = Rs. 24480
Loss% = 4
In order to gain 4%:
Answer:
Let the CP of the tricycle be Rs. x
SP at 15% gain =
SP at 20% gain =
Hence, the cost price of the tricycle is Rs. 2160
Page No 157:
Question 15:
Let the CP of the tricycle be Rs. x
SP at 15% gain =
SP at 20% gain =
Hence, the cost price of the tricycle is Rs. 2160
Answer:
Let CP of a television be Rs x.
SP at 8% loss =
100
SP at 6% gain =
⇒
⇒
∴ CP = Rs. 24000
Sandeep bought it at the cost of Rs. 24000.
Page No 157:
Question 16:
Let CP of a television be Rs x.
SP at 8% loss =
100
SP at 6% gain =
⇒
⇒
∴ CP = Rs. 24000
Sandeep bought it at the cost of Rs. 24000.
Answer:
SP of each cycle = Rs. 2376
He gains 10% in one cycle.
CP =
He looses 10% in the second cycle.
CP =
Total CP =
Total SP =
Loss = CP - SP =
= %
Page No 157:
Question 17:
SP of each cycle = Rs. 2376
He gains 10% in one cycle.
CP =
He looses 10% in the second cycle.
CP =
Total CP =
Total SP =
Loss = CP - SP =
= %
Answer:
Let the CP of the exhaust fan be Rs. x.
Gain =
âSP =
SP = Rs. 7350
∴
⇒
⇒
CP of the fan = Rs. 6300
Page No 157:
Question 18:
Let the CP of the exhaust fan be Rs. x.
Gain =
âSP =
SP = Rs. 7350
∴
⇒
⇒
CP of the fan = Rs. 6300
Answer:
Mohit sold a watch to Karim at Rs. x.
Mohit sold it at a gain of 10%.
SP of the watch =
=
Karim sold it to Rahim at a gain of 4%.
SP of the watch =
But, Rahim pays Rs. 14300.
∴
Mohit purchased it at Rs. 25000.
Page No 157:
Question 19:
Mohit sold a watch to Karim at Rs. x.
Mohit sold it at a gain of 10%.
SP of the watch =
=
Karim sold it to Rahim at a gain of 4%.
SP of the watch =
But, Rahim pays Rs. 14300.
∴
Mohit purchased it at Rs. 25000.
Answer:
Let the production cost of a washing machine be Rs. x.
Profit of the manufacturer = 10%
SP of the manufacturer =
=
Profit of the wholesale dealer = 15%
SP of the wholesale dealer =
=
Profit of the retailer = 25%
SP of the retailer =
=
Given:
Retail price = Rs. 37950
∴
=> x=
∴ Production cost of a washing machine = Rs. 24000
Page No 157:
Question 20:
Let the production cost of a washing machine be Rs. x.
Profit of the manufacturer = 10%
SP of the manufacturer =
=
Profit of the wholesale dealer = 15%
SP of the wholesale dealer =
=
Profit of the retailer = 25%
SP of the retailer =
=
Given:
Retail price = Rs. 37950
∴
=> x=
∴ Production cost of a washing machine = Rs. 24000
Answer:
Mr. Mehta purchased a video at the cost of Rs. 20000.
Mr. Mehta purchased a television at the cost of Rs. 30000.
Total cost = Rs. (20000 + 30000) = Rs. 50000
He lost 5% on the video.
He gained 8% on the television.
Total SP =
Total CP = Rs. 50000
Total Gain = SP - CP =
Page No 158:
Question 21:
Mr. Mehta purchased a video at the cost of Rs. 20000.
Mr. Mehta purchased a television at the cost of Rs. 30000.
Total cost = Rs. (20000 + 30000) = Rs. 50000
He lost 5% on the video.
He gained 8% on the television.
Total SP =
Total CP = Rs. 50000
Total Gain = SP - CP =
Answer:
Let the CP of 1 orange be Rs. x.
∴ CP of 36 oranges = Rs. 36x
Let SP of orange be Rs. y.
∴ SP of 36 oranges = Rs. 36y
âLoss = SP of 4 oranges = (given)
We know:
Loss = CP - SP
⇒
⇒
⇒
⇒
â ⇒
%
%
âLoss% = 10%
Page No 158:
Question 22:
Let the CP of 1 orange be Rs. x.
∴ CP of 36 oranges = Rs. 36x
Let SP of orange be Rs. y.
∴ SP of 36 oranges = Rs. 36y
âLoss = SP of 4 oranges = (given)
We know:
Loss = CP - SP
⇒
⇒
⇒
⇒
â ⇒
%
%
âLoss% = 10%
Answer:
Let the CP of one pencil be Rs. x.
Therefore, the CP of 96 pencils will be Rs. 96x.
Let SP of one pencil be Rs. y.
â∴ SP of 96 pencils = Rs. 96y
Gain= SP of one dozen pencil = Rs.12y (given)
Gain = SP - CP
Page No 158:
Question 1:
Let the CP of one pencil be Rs. x.
Therefore, the CP of 96 pencils will be Rs. 96x.
Let SP of one pencil be Rs. y.
â∴ SP of 96 pencils = Rs. 96y
Gain= SP of one dozen pencil = Rs.12y (given)
Gain = SP - CP
Answer:
(b) 25%
CP of the book = Rs. 80
SP of the book = Rs. 100
Gain = SP - CP = Rs. (100 - 80) = Rs. 20
Page No 158:
Question 2:
(b) 25%
CP of the book = Rs. 80
SP of the book = Rs. 100
Gain = SP - CP = Rs. (100 - 80) = Rs. 20
Answer:
(a)
CP of a football = Rs. 120
SP of a football = Rs. 105
CP>SP
∴ Loss = CP - SP = Rs. ( 120 - 105 ) = Rs. 15
Page No 158:
Question 3:
(a)
CP of a football = Rs. 120
SP of a football = Rs. 105
CP>SP
∴ Loss = CP - SP = Rs. ( 120 - 105 ) = Rs. 15
Answer:
(b) 25%
SP of the bat = Rs. 100
Gain = Rs. 20
Gain = SP - CP
⇒ 20 = 100 - CP
⇒ CP = 100 - 20 = Rs. 80
Page No 158:
Question 4:
(b) 25%
SP of the bat = Rs. 100
Gain = Rs. 20
Gain = SP - CP
⇒ 20 = 100 - CP
⇒ CP = 100 - 20 = Rs. 80
Answer:
(a) Rs. 180
SP of the racket = Rs. 198
Gain% = 10
Page No 158:
Question 5:
(a) Rs. 180
SP of the racket = Rs. 198
Gain% = 10
Answer:
Let the cost price be Rs. x.
Loss =
∴ SP =
Given:
SP = Rs. 144
∴
⇒
∴ CP = Rs. 168
SP = Rs. 144
New SP = Rs. 189
Gain = SP - CP =
The correct answer is 12.5%.
All the given options are wrong.
Page No 158:
Question 6:
Let the cost price be Rs. x.
Loss =
∴ SP =
Given:
SP = Rs. 144
∴
⇒
∴ CP = Rs. 168
SP = Rs. 144
New SP = Rs. 189
Gain = SP - CP =
The correct answer is 12.5%.
All the given options are wrong.
Answer:
(d) Rs. 72
SP of the pen = Rs. 48
Loses = 20%
Then ,
In order to gain 20%:
Page No 158:
Question 7:
(d) Rs. 72
SP of the pen = Rs. 48
Loses = 20%
Then ,
In order to gain 20%:
Answer:
(a) 20%
Let the cost price of each pencil be Rs.1
Cost of 15 pencils = Rs 15
SP of 15 pencil = CP of 12 pencil = Rs 12
∴ CP = Rs 15
SP = Rs 12
Loss = CP - SP =
Page No 158:
Question 8:
(a) 20%
Let the cost price of each pencil be Rs.1
Cost of 15 pencils = Rs 15
SP of 15 pencil = CP of 12 pencil = Rs 12
∴ CP = Rs 15
SP = Rs 12
Loss = CP - SP =
Answer:
(d)
Let the cost price of each toffee be Rs. 1
Cost price of three toffees = Rs 3
SP of three toffees = CP of four toffees = Rs 4
CP = Rs 3
SP = Rs 4
Gain = SP - CP =
Page No 158:
Question 9:
(d)
Let the cost price of each toffee be Rs. 1
Cost price of three toffees = Rs 3
SP of three toffees = CP of four toffees = Rs 4
CP = Rs 3
SP = Rs 4
Gain = SP - CP =
Answer:
(c) Rs. 176
SP of an article = Rs. 144
Loss% = 10
In order to gain 10%:
Page No 159:
Question 10:
(c) Rs. 176
SP of an article = Rs. 144
Loss% = 10
In order to gain 10%:
Answer:
(a) 50%
CP of six lemons = Re 1
CP of one lemon =
CP of four lemon =
SP of four lemon = Re 1
Gain =
Page No 159:
Question 11:
(a) 50%
CP of six lemons = Re 1
CP of one lemon =
CP of four lemon =
SP of four lemon = Re 1
Gain =
Answer:
(d)Rs. 600
SP of the chair = Rs 720
Gain% = 20
Page No 159:
Question 12:
(d)Rs. 600
SP of the chair = Rs 720
Gain% = 20
Answer:
(c) Rs. 700
SP of a stool = Rs 630
Loss% = 10
Page No 160:
Question 1:
(c) Rs. 700
SP of a stool = Rs 630
Loss% = 10
Answer:
SP of the chair = Rs 1375
Gain% = 10
Page No 160:
Question 2:
SP of the chair = Rs 1375
Gain% = 10
Answer:
Let the cost of each pen be Rs. 1
CP of 10 pens = Rs. 10
SP of 10 pens = CP of 14 pens = Rs. 14
Gain = SP - CP = 14-10= Rs. 4
Page No 160:
Question 3:
Let the cost of each pen be Rs. 1
CP of 10 pens = Rs. 10
SP of 10 pens = CP of 14 pens = Rs. 14
Gain = SP - CP = 14-10= Rs. 4
Answer:
Let the cost price of the fan be Rs. x.
Gain =
SP of the fan =
SP of the fan =
∴
⇒
⇒
So, CP of the fan is Rs. 2350.
Page No 160:
Question 4:
Let the cost price of the fan be Rs. x.
Gain =
SP of the fan =
SP of the fan =
∴
⇒
⇒
So, CP of the fan is Rs. 2350.
Answer:
Cost price of six lemons = Rs. 10
Cost price of one lemon =
Cost price of eight lemons =
Selling price of eight lemons = Rs. 15
Gain% = %
%
%
Page No 160:
Question 5:
Cost price of six lemons = Rs. 10
Cost price of one lemon =
Cost price of eight lemons =
Selling price of eight lemons = Rs. 15
Gain% = %
%
%
Answer:
SP of the bat = Rs 486
Loss = 10%
CP of the bat =
CP of the bat = Rs 540
Page No 160:
Question 6:
SP of the bat = Rs 486
Loss = 10%
CP of the bat =
CP of the bat = Rs 540
Answer:
(b) Rs 85
SP of a football = Rs 100
Gain = Rs 15
Gain = SP - CP
⇒ 15 = 100 - CP
⇒ CP = Rs (100 - 15)
⇒ CP= Rs 85
Page No 160:
Question 7:
(b) Rs 85
SP of a football = Rs 100
Gain = Rs 15
Gain = SP - CP
⇒ 15 = 100 - CP
⇒ CP = Rs (100 - 15)
⇒ CP= Rs 85
Answer:
(c) 15.2%
Cost price of 12 bananas = Rs. 25
Cost price of one banana =
He sells five bananas at the cost (SP) of Rs. 12.
Gain = SP - CP
=
Page No 160:
Question 8:
(c) 15.2%
Cost price of 12 bananas = Rs. 25
Cost price of one banana =
He sells five bananas at the cost (SP) of Rs. 12.
Gain = SP - CP
=
Answer:
(c) Rs. 196
Let the cost price of the jug be Rs. x.
Loss =
SP of the jug = CP - Loss
âSP of the jug = (given)
∴
∴ CP of the jug =
Page No 160:
Question 9:
(c) Rs. 196
Let the cost price of the jug be Rs. x.
Loss =
SP of the jug = CP - Loss
âSP of the jug = (given)
∴
∴ CP of the jug =
Answer:
(c)
Let the cost price of each banana be Re 1.
Cost price of three bananas = Rs. 3
SP of three bananas = CP of five bananas = Rs. 5
Gain = SP - CP =
Page No 160:
Question 10:
(c)
Let the cost price of each banana be Re 1.
Cost price of three bananas = Rs. 3
SP of three bananas = CP of five bananas = Rs. 5
Gain = SP - CP =
Answer:
(i) Loss = (CP) - (SP)
(ii) CP =
(iii) Profit or loss is always reckoned on the cost price.
(iv) = CP
Page No 160:
Question 11:
(i) Loss = (CP) - (SP)
(ii) CP =
(iii) Profit or loss is always reckoned on the cost price.
(iv) = CP
Answer:
(i) False
Gain or loss is always reckoned on the cost price.
(ii) True
(iii) True
(iv) True
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