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13 questions · self-marked practice — reveal the answer and mark yourself.

Question 12 Marks
Calculate the profit or loss and profit or loss percent of the following cases:
C.P. = Rs. 2600
S.P. = Rs. 2470
Answer
CP = Rs. 2600 SP = Rs. 2470 Here, CP > SP. So, loss. Loss = CP - SP = Rs. (2600 - 2470) = Rs. 130 Loss % $=\Big(\frac{\text{Loss}}{\text{CP}}\times 100\Big)\%$ $=\Big(\frac{130}{2600}\times 100\Big)\%$ $=(0.05\times100)\%$ $=5\%$Loss % = 5%
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Question 22 Marks
Find the gain or loss percent, when:
S.P. = Rs. 1820
and gain = Rs. 420
Answer
Given, S.P. = Rs. 1820 and gain = Rs. 420 Gain = SP - CP Hence, CP = SP - Gain CP = Rs. 1820 - Rs. 420 CP = Rs. 1400Gain % $=\Big(\frac{\text{Gain}}{\text{CP}}\times100\Big)\%$
$=\Big(\frac{420}{1400}\times100\Big)\%$ $=30\%$ Gain % = 30%
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Question 32 Marks
Calculate the profit or loss and profit or loss percent of the following cases:
C.P. = Rs. 332
S.P. = Rs. 350
Answer
CP = Rs. 332
SP = Rs. 350
Here, SP > CP. So, profit.
Profit = SP - CP = Rs. (350 - 332) = Rs. 18
Profit % $=\Big(\frac{\text{Profit}}{\text{CP}}\times 100\Big)\%$
$=\Big(\frac{18}{332}\times 100\Big)\%$
$=(0.054\times100)\%$
$=5.4\%$
Profit % = 5.4%
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Question 42 Marks
Calculate the profit or loss and profit or loss percent of the following cases:
C.P. = Rs. 1500
S.P. = Rs. 1500
Answer
CP = Rs. 1500
SP = Rs. 1500
Here, SP = CP.
So, neither profit nor loss.
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Question 52 Marks
Find the gain or loss percent, when:
C.P. = Rs. 3500
Overhead expenses = Rs. 150
and loss = Rs. 146
Answer
Given, CP = Rs. 3500, overhead expenses = Rs. 150 and loss = Rs. 146.Loss % $=\Big(\frac{\text{Loss}}{\text{CP + overhead expenses}}\Big)\times100$
$=\Big(\frac{146}{3500\ +\ 150}\Big)\times100$ $=\Big(\frac{146}{3650}\Big)\times100$ $=4\%$ Gain % = 4%
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Question 62 Marks
Calculate the profit or loss and profit or loss percent of the following cases:
C.P. = Rs. 4560
S.P. = Rs. 5000
Answer
CP = Rs. 4560
SP = Rs. 5000
Here, SP > CP. So, profit.
Profit = SP - CP = Rs. (5000 - 4560) = Rs. 440
Profit % $=\Big(\frac{\text{Profit}}{\text{CP}}\times 100\Big)\%$
$=\Big(\frac{440}{4560}\times 100\Big)\%$
$=(0.0965\times100)\%$
$=9.65\%$
Profit % = 9.65%
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Question 72 Marks
Find the gain or loss percent, when:
C.P. = Rs. 2300
Overhead expenses = Rs. 300
and gain = Rs. 260
Answer
Given, CP = Rs. 2300, overhead expenses = Rs. 300 and gain = Rs. 260.Gain % $=\Big(\frac{\text{Gain}}{\text{CP + overhead expenses}}\Big)\times100$
$=\Big(\frac{260}{2300\ +\ 300}\Big)\times100$ $=\Big(\frac{260}{2600}\Big)\times100$ $=10\%$ Gain % = 10%
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Question 82 Marks
Given the following values, find the unknown values:
C.P. = Rs. 1200
S.P. = Rs. 1350
Profit/ Loss = ?
Answer
CP = Rs. 1200, SP = Rs. 1350
CP > SP. So, profit.
Profit = Rs. (1350 – 1200) = Rs. 150
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Question 92 Marks
Given the following values, find the unknown values:
C.P. = Rs. 980
S.P. = Rs. 940
Profit/ Loss = ?
Answer
CP = Rs. 980, SP = Rs. 940
CP > SP. So, loss.
Loss = Rs. (980 – 940) = Rs. 40
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Question 102 Marks
Given the following values, find the unknown values:
C.P. = Rs. 720
S.P. = ?
Profit = Rs. 55.50
Answer
CP = Rs. 720, SP = ?, profit = Rs. 55.50
Profit = SP - CP
Rs. 55.50 = SP - Rs. 720
SP = Rs. (55.50 + 720) = Rs. 775.50
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Question 112 Marks
Given the following values, find the unknown values:
C.P. = ?
S.P. = Rs. 1254
Loss = Rs. 32
Answer
CP = ?, SP = Rs. 1254, loss = Rs. 32
Loss = CP - SP
Rs. 32 = CP - Rs. 1254
CP = Rs. (1254 + 32) = Rs. 1286
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Question 122 Marks
Find the gain or loss percent, when:
S.P. = Rs. 1272
and loss = Rs. 328
Answer
Given, S.P. = Rs. 1272 and loss = Rs. 328 Loss = CP - SP Hence, CP = Loss + SP CP = Rs. 328 + Rs. 1272 CP = Rs. 1600Loss % $=\Big(\frac{\text{Loss}}{\text{CP}}\times100\Big)\%$
$=\Big(\frac{328}{1600}\times100\Big)\%$ $=20.5\%$ Loss % = 20.5%
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Question 132 Marks
Find the gain or loss percent, when:
C.P. = Rs. 4000
and gain = Rs. 40.
Answer
Given,
CP = Rs. 4000, gain = Rs. 40
Gain % $=\Big(\frac{\text{Gain}}{\text{CP}}\times100\Big)\%$
$=\Big(\frac{40}{4000}\times100\Big)\%$
$=(0.01\times100)\%$
$=1\%$
Gain % = 1%
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