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A seller sells a bat at a profit of 40 %. Had he bought it at 20% more and sold it for 120 more the profit will be 100 %. Find the cost price of the bat.
  • a)
    Rs 100
  • b)
    Rs 1000
  • c)
    Rs 120
  • d)
    Rs 1200
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A seller sells a bat at a profit of 40 %. Had he bought it at 20% mor...
Given
A seller sells a bat at 40% profit.
If he bought it at 20% more and sold it for 120 more there will be 100% profit earned.
Concept used:
SP = CP + Profit
Profit percentage = (Net profit / CP) × 100
Calculation:
Let the CP is Rs 100. So,
SP = 100 + (40/100) × 100
⇒ 100 + 40 = 140
So the new CP is
100 + (20/100) × 100
⇒100 + 20 = Rs 120
New SP = 120 + 120
⇒ Rs 240
So, as per the question
(SP - CP) = 100%
Rs (240 – 120) = 100%
⇒ 100 % = Rs 120
So the cost price of the bat is Rs 120.
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Community Answer
A seller sells a bat at a profit of 40 %. Had he bought it at 20% mor...
Let,
CP = X
SP = X + 40% of X = 1.4 X

If bought it at 20% more,
new CP = X + 20% of X = X + 0.2X = 1.2X

If sold for 120 more,
new SP = 1.4X + 120

New profit = 100% of new CP (eqn 1)

Also, new profit = new SP - new CP
= 1.4X +120 - 1.2 X (eqn 2)

Combining (1) and (2);

100% of 1.2X = 1.4X + 120 - 1.2X
1.2 X = 0.2X + 120
1.2X - 0.2X = 120
X = 120
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A seller sells a bat at a profit of 40 %. Had he bought it at 20% more and sold it for 120 more the profit will be 100 %. Find the cost price of the bat.a)Rs 100b)Rs 1000c)Rs 120d)Rs 1200Correct answer is option 'C'. Can you explain this answer?
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A seller sells a bat at a profit of 40 %. Had he bought it at 20% more and sold it for 120 more the profit will be 100 %. Find the cost price of the bat.a)Rs 100b)Rs 1000c)Rs 120d)Rs 1200Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A seller sells a bat at a profit of 40 %. Had he bought it at 20% more and sold it for 120 more the profit will be 100 %. Find the cost price of the bat.a)Rs 100b)Rs 1000c)Rs 120d)Rs 1200Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A seller sells a bat at a profit of 40 %. Had he bought it at 20% more and sold it for 120 more the profit will be 100 %. Find the cost price of the bat.a)Rs 100b)Rs 1000c)Rs 120d)Rs 1200Correct answer is option 'C'. Can you explain this answer?.
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