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A shopkeeper sells a pair of sunglasses at a profit of 25%. If he had bought it at 25% less and sold it for Rs. 20 less, then he would have gained 40%. The cost price of the pair of sunglasses is:
- a)Rs. 125
- b)Rs. 50
- c)Rs. 160
- d)Rs. 100
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A shopkeeper sells a pair of sunglasses at a profit of 25%. If he had ...
Let the sunglasses were brought for Rs 100.
Selling price be ‘x’ .such that gain% = 25%
Selling price = Rs 100+ Rs 25 = Rs 125
Now if he had bought them at 25% less would mean
⇒ 100 – 25% of 100 = 100 – 25 = Rs 75
Hence let the cost price be Rs 75 and new SP be ‘y’ then
Gain% = 40%
⇒ (SP – CP)/CP × 100 = 40
⇒ y – 75 = 30
⇒ y = 75 + 30 = 105 Rs
Now if he sells for Previous SP – new SP = Rs. 125 – Rs 105 = Rs 20 less
Then CP = Rs 100
If he sells for Rs 20 less, then C.P.
Selling price be ‘x’ .such that gain% = 25%
Selling price = Rs 100+ Rs 25 = Rs 125
Now if he had bought them at 25% less would mean
⇒ 100 – 25% of 100 = 100 – 25 = Rs 75
Hence let the cost price be Rs 75 and new SP be ‘y’ then
Gain% = 40%
⇒ (SP – CP)/CP × 100 = 40
⇒ y – 75 = 30
⇒ y = 75 + 30 = 105 Rs
Now if he sells for Previous SP – new SP = Rs. 125 – Rs 105 = Rs 20 less
Then CP = Rs 100
If he sells for Rs 20 less, then C.P.
Most Upvoted Answer
A shopkeeper sells a pair of sunglasses at a profit of 25%. If he had ...
To solve this problem, let's break it down into two parts:
Part 1: Selling at a 25% profit
Let's assume the cost price of the sunglasses is x.
According to the given information, the shopkeeper sells the sunglasses at a profit of 25%. This means the selling price is 125% of the cost price.
Selling price = Cost price + Profit
Selling price = x + 0.25x = 1.25x
Part 2: Buying at 25% less and selling for Rs. 20 less with a 40% gain
According to the second scenario, if the shopkeeper had bought the sunglasses at 25% less, it means he bought it at 75% of the cost price.
Buying price = 0.75x
If he had sold it for Rs. 20 less, it means the selling price is (1.25x - 20).
According to the given information, the shopkeeper would have gained 40% in this scenario.
Selling price = Cost price + Profit
(1.25x - 20) = 0.75x + 0.4(0.75x)
Now we can solve the equation to find the value of x.
Simplifying the equation:
1.25x - 20 = 0.75x + 0.3x
1.25x - 0.75x - 0.3x = 20
0.2x = 20
x = 20 / 0.2
x = 100
Therefore, the cost price of the pair of sunglasses is Rs. 100, which corresponds to option D.
Part 1: Selling at a 25% profit
Let's assume the cost price of the sunglasses is x.
According to the given information, the shopkeeper sells the sunglasses at a profit of 25%. This means the selling price is 125% of the cost price.
Selling price = Cost price + Profit
Selling price = x + 0.25x = 1.25x
Part 2: Buying at 25% less and selling for Rs. 20 less with a 40% gain
According to the second scenario, if the shopkeeper had bought the sunglasses at 25% less, it means he bought it at 75% of the cost price.
Buying price = 0.75x
If he had sold it for Rs. 20 less, it means the selling price is (1.25x - 20).
According to the given information, the shopkeeper would have gained 40% in this scenario.
Selling price = Cost price + Profit
(1.25x - 20) = 0.75x + 0.4(0.75x)
Now we can solve the equation to find the value of x.
Simplifying the equation:
1.25x - 20 = 0.75x + 0.3x
1.25x - 0.75x - 0.3x = 20
0.2x = 20
x = 20 / 0.2
x = 100
Therefore, the cost price of the pair of sunglasses is Rs. 100, which corresponds to option D.
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A shopkeeper sells a pair of sunglasses at a profit of 25%. If he had bought it at 25% less and sold it for Rs. 20 less, then he would have gained 40%. The cost price of the pair of sunglasses is:a)Rs. 125b)Rs. 50c)Rs. 160d)Rs. 100Correct answer is option 'D'. Can you explain this answer?
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A shopkeeper sells a pair of sunglasses at a profit of 25%. If he had bought it at 25% less and sold it for Rs. 20 less, then he would have gained 40%. The cost price of the pair of sunglasses is:a)Rs. 125b)Rs. 50c)Rs. 160d)Rs. 100Correct answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A shopkeeper sells a pair of sunglasses at a profit of 25%. If he had bought it at 25% less and sold it for Rs. 20 less, then he would have gained 40%. The cost price of the pair of sunglasses is:a)Rs. 125b)Rs. 50c)Rs. 160d)Rs. 100Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper sells a pair of sunglasses at a profit of 25%. If he had bought it at 25% less and sold it for Rs. 20 less, then he would have gained 40%. The cost price of the pair of sunglasses is:a)Rs. 125b)Rs. 50c)Rs. 160d)Rs. 100Correct answer is option 'D'. Can you explain this answer?.
A shopkeeper sells a pair of sunglasses at a profit of 25%. If he had bought it at 25% less and sold it for Rs. 20 less, then he would have gained 40%. The cost price of the pair of sunglasses is:a)Rs. 125b)Rs. 50c)Rs. 160d)Rs. 100Correct answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A shopkeeper sells a pair of sunglasses at a profit of 25%. If he had bought it at 25% less and sold it for Rs. 20 less, then he would have gained 40%. The cost price of the pair of sunglasses is:a)Rs. 125b)Rs. 50c)Rs. 160d)Rs. 100Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper sells a pair of sunglasses at a profit of 25%. If he had bought it at 25% less and sold it for Rs. 20 less, then he would have gained 40%. The cost price of the pair of sunglasses is:a)Rs. 125b)Rs. 50c)Rs. 160d)Rs. 100Correct answer is option 'D'. Can you explain this answer?.
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A shopkeeper sells a pair of sunglasses at a profit of 25%. If he had bought it at 25% less and sold it for Rs. 20 less, then he would have gained 40%. The cost price of the pair of sunglasses is:a)Rs. 125b)Rs. 50c)Rs. 160d)Rs. 100Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A shopkeeper sells a pair of sunglasses at a profit of 25%. If he had bought it at 25% less and sold it for Rs. 20 less, then he would have gained 40%. The cost price of the pair of sunglasses is:a)Rs. 125b)Rs. 50c)Rs. 160d)Rs. 100Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A shopkeeper sells a pair of sunglasses at a profit of 25%. If he had bought it at 25% less and sold it for Rs. 20 less, then he would have gained 40%. The cost price of the pair of sunglasses is:a)Rs. 125b)Rs. 50c)Rs. 160d)Rs. 100Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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