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An article was sold at 65% of its marked price, and thus there was a gain of 30%. Find the ratio of the marked price to cost price.
- a)3 : 2
- b)4 : 3
- c)2 : 1
- d)3 : 1
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
An article was sold at65%of its marked price, and thus there was a gai...
Given:
An article was sold at 65% of its marked price.
There was a gain =30%
Let the Cost price be 100 and Marked price be x.
According to the question
An article was sold at 65% of its marked price =(65% of x)
And there was a gain =(130% of 100)
Now,
The ratio of the marked price to cost price = (200:100)
= 2:1
∴ The required ratio is 2:1.
An article was sold at 65% of its marked price.
There was a gain =30%
Let the Cost price be 100 and Marked price be x.
According to the question
An article was sold at 65% of its marked price =(65% of x)
And there was a gain =(130% of 100)
Now,
The ratio of the marked price to cost price = (200:100)
= 2:1
∴ The required ratio is 2:1.
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Community Answer
An article was sold at65%of its marked price, and thus there was a gai...
Given Data:
- The article was sold at 65% of its marked price,
- There was a gain of 30%.
Calculation:
To find the ratio of the marked price to the cost price, we can assume:
Let the cost price be $100.
Given that there was a gain of 30%, the selling price would be $130.
Since the article was sold at 65% of its marked price, the selling price is also equal to 65% of the marked price.
Let's calculate the marked price:
Let the marked price be x.
65% of x = $130
0.65x = $130
x = $130 / 0.65
x = $200
Ratio of marked price to cost price:
Marked price : Cost price
$200 : $100
2 : 1
Therefore, the ratio of the marked price to the cost price is 2:1. Hence, the correct answer is option C.
- The article was sold at 65% of its marked price,
- There was a gain of 30%.
Calculation:
To find the ratio of the marked price to the cost price, we can assume:
Let the cost price be $100.
Given that there was a gain of 30%, the selling price would be $130.
Since the article was sold at 65% of its marked price, the selling price is also equal to 65% of the marked price.
Let's calculate the marked price:
Let the marked price be x.
65% of x = $130
0.65x = $130
x = $130 / 0.65
x = $200
Ratio of marked price to cost price:
Marked price : Cost price
$200 : $100
2 : 1
Therefore, the ratio of the marked price to the cost price is 2:1. Hence, the correct answer is option C.
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An article was sold at65%of its marked price, and thus there was a gain of30%. Find the ratio of the marked price to cost price.a)3 : 2b)4 : 3c)2 : 1d)3 : 1Correct answer is option 'C'. Can you explain this answer?
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