Sonu sold an article to monu at 35% profit. Again,monu spent Rs3780 for repairing the article and sold it to Ravi at a loss of 18.18% .Now CP of article for Ravi is 20% more than the SP of article for sonu. Had sonu sold the article at 30% loss then what will be the SP of article?
Answers
Step-by-step explanation:
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The SP of the article is Rs. 8176.909
Given
- Monu spent Rs3780 for repairing the article
- Monu sold it to Ravi at a loss of 18.18%
- Now CP of the article for Ravi is 20% more than the SP of the article for sonu. Had sonu sold the article at 30% loss
To Find
SP for Sonu
Solution
Formulas to use
- SP = CP + Profit
- SP = CP - loss
- SP = (100 + profit%) of CP
- SP = (100 - loss%) of CP
Here since the question at last asked us to consider that Sonu incurred a loss, we will disregard the first statement.
Let the CP for Sonu be Rs. x
Sonu sold it at a loss for 30% hence SP for Sonu = 70x/100 = 7x/10 = CP for Monu
Amount Monu spent on the article = Rs. 7x/10 + rs. 3780
CP for Ravi is (100-18.18)% of amount he spent = 81.8% of (7x/10 + 3780)
= 81.8/100 X (7x/10 + 3780)
= 0.5726x + 3092.04
According to the problem CP for Ravi is 20% more than SP for Sonu
Therefore,
0.5726x + 3092.04 = 120% of 0.7x
or, 0.5726x + 3092.04 = 0.84x
or, 0.84x - 0.5726x = 3092.04
or, 0.2674x = 3092.04
or, x = 3092.04/0.2647
or, x = 11681.299
Therefore, SP of the article for Sonu = 0.7x = Rs. 8176.909
Hence the SP of the article is Rs. 8176.909
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