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A man sells a TV set for Rs. 33000 and makes a profit of 10%. He sells another TV at a loss of 20%. If on the whole, he neither gains nor loses, find the selling price of the second TV set.
- a)Rs.15,000
- b)Rs.30,000
- c)Rs.12,000
- d)Rs.27,000
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A man sells a TV set for Rs. 33000 and makes a profit of 10%. He sells...
Let's denote the cost price of the first TV as CP1, the cost price of the second TV as CP2, and the selling price of the second TV as SP2.
The man makes a profit of 10% on the first TV, so we can write the selling price of the first TV as:
SP1 = CP1 + 10% of CP1
33000 = CP1 + 0.1 * CP1
33000 = 1.1 * CP1
CP1 = 33000 / 1.1
CP1 = 30000
He sells the second TV at a loss of 20%, so we can write the selling price of the second TV as:
SP2 = CP2 - 20% of CP2
SP2 = 0.8 * CP2
Since he neither gains nor loses on the whole, the total cost price equals the total selling price:
CP1 + CP2 = SP1 + SP2
We already know the values of CP1 and SP1, so we can substitute them in the equation:
30000 + CP2 = 33000 + SP2
We also know that SP2 = 0.8 * CP2, so we can substitute that as well:
30000 + CP2 = 33000 + 0.8 * CP2
Now, we can solve for CP2:
0.2 * CP2 = 3000
CP2 = 15000
Now that we have the cost price of the second TV, we can find its selling price using the relation we found earlier:
SP2 = 0.8 * CP2
SP2 = 0.8 * 15000
SP2 = 12000
So the selling price of the second TV set is Rs. 12000.
The man makes a profit of 10% on the first TV, so we can write the selling price of the first TV as:
SP1 = CP1 + 10% of CP1
33000 = CP1 + 0.1 * CP1
33000 = 1.1 * CP1
CP1 = 33000 / 1.1
CP1 = 30000
He sells the second TV at a loss of 20%, so we can write the selling price of the second TV as:
SP2 = CP2 - 20% of CP2
SP2 = 0.8 * CP2
Since he neither gains nor loses on the whole, the total cost price equals the total selling price:
CP1 + CP2 = SP1 + SP2
We already know the values of CP1 and SP1, so we can substitute them in the equation:
30000 + CP2 = 33000 + SP2
We also know that SP2 = 0.8 * CP2, so we can substitute that as well:
30000 + CP2 = 33000 + 0.8 * CP2
Now, we can solve for CP2:
0.2 * CP2 = 3000
CP2 = 15000
Now that we have the cost price of the second TV, we can find its selling price using the relation we found earlier:
SP2 = 0.8 * CP2
SP2 = 0.8 * 15000
SP2 = 12000
So the selling price of the second TV set is Rs. 12000.
Most Upvoted Answer
A man sells a TV set for Rs. 33000 and makes a profit of 10%. He sells...
Given:
Selling price of first TV set = Rs. 33000
Profit earned on first TV set = 10%
To find: Selling price of the second TV set
Let's assume the cost price of the first TV set = x
Profit earned on the first TV set = 10%
Therefore, selling price of the first TV set = x + 0.1x = 1.1x
Selling price of the first TV set = Rs. 33000
So, 1.1x = 33000
x = 30000
Cost price of the second TV set = y
Loss incurred on the second TV set = 20%
Therefore, selling price of the second TV set = y - 0.2y = 0.8y
Now, let's assume that the man sells the second TV set at a selling price of z.
Total selling price of both the TV sets = 33000 + z
Total cost price of both the TV sets = 30000 + y
It is given that the man neither gains nor loses on the whole, i.e., total selling price = total cost price
33000 + z = 30000 + y + 0.8y
33000 + z = 38000 + 0.8y
z = 38000 - 0.8y
Substituting the value of z in the above equation, we get:
33000 + 38000 - 0.8y = 30000 + y
71000 - 0.8y = 30000 + y
71000 = 1.8y
y = 71000/1.8
y = 39444.44
Selling price of the second TV set = 0.8y = 0.8 x 39444.44 = Rs. 31555.56
Therefore, option (c) Rs. 27,000 is incorrect and the correct answer is option (a) Rs. 15,000.
Selling price of first TV set = Rs. 33000
Profit earned on first TV set = 10%
To find: Selling price of the second TV set
Let's assume the cost price of the first TV set = x
Profit earned on the first TV set = 10%
Therefore, selling price of the first TV set = x + 0.1x = 1.1x
Selling price of the first TV set = Rs. 33000
So, 1.1x = 33000
x = 30000
Cost price of the second TV set = y
Loss incurred on the second TV set = 20%
Therefore, selling price of the second TV set = y - 0.2y = 0.8y
Now, let's assume that the man sells the second TV set at a selling price of z.
Total selling price of both the TV sets = 33000 + z
Total cost price of both the TV sets = 30000 + y
It is given that the man neither gains nor loses on the whole, i.e., total selling price = total cost price
33000 + z = 30000 + y + 0.8y
33000 + z = 38000 + 0.8y
z = 38000 - 0.8y
Substituting the value of z in the above equation, we get:
33000 + 38000 - 0.8y = 30000 + y
71000 - 0.8y = 30000 + y
71000 = 1.8y
y = 71000/1.8
y = 39444.44
Selling price of the second TV set = 0.8y = 0.8 x 39444.44 = Rs. 31555.56
Therefore, option (c) Rs. 27,000 is incorrect and the correct answer is option (a) Rs. 15,000.
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Community Answer
A man sells a TV set for Rs. 33000 and makes a profit of 10%. He sells...
(1920-CP/CP)*100=(CP-1280)/CP*100 so CP=1600 hence 1600*25/100=400 so selling price=1600+400=2000
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A man sells a TV set for Rs. 33000 and makes a profit of 10%. He sells another TV at a loss of 20%. If on the whole, he neither gains nor loses, find the selling price of the second TV set.a)Rs.15,000b)Rs.30,000c)Rs.12,000d)Rs.27,000Correct answer is option 'C'. Can you explain this answer?
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A man sells a TV set for Rs. 33000 and makes a profit of 10%. He sells another TV at a loss of 20%. If on the whole, he neither gains nor loses, find the selling price of the second TV set.a)Rs.15,000b)Rs.30,000c)Rs.12,000d)Rs.27,000Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A man sells a TV set for Rs. 33000 and makes a profit of 10%. He sells another TV at a loss of 20%. If on the whole, he neither gains nor loses, find the selling price of the second TV set.a)Rs.15,000b)Rs.30,000c)Rs.12,000d)Rs.27,000Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man sells a TV set for Rs. 33000 and makes a profit of 10%. He sells another TV at a loss of 20%. If on the whole, he neither gains nor loses, find the selling price of the second TV set.a)Rs.15,000b)Rs.30,000c)Rs.12,000d)Rs.27,000Correct answer is option 'C'. Can you explain this answer?.
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