Latest self Aptitude Question SOLUTION: A machine is sold at a loss of 10%. Had it been sold at a profit of 15%, it would have fetched Rs. 50 more. The cost price of the machine is:

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(#M40020929) SELF question Keep an EYE

A machine is sold at a loss of 10%. Had it been sold at a profit of 15%, it would have fetched Rs. 50 more. The cost price of the machine is:

vikash singh (10 years ago)

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Devendra Marghade  (10 years ago)

200 Rs.
If cost price=x,then difference in price=115x/100 - 90x/100 =50 so x=200

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bhavnath trivedi  (10 years ago)

15=(sp1-cp)/cp*100
sp1=1.15cp
10=(cp-sp2)/cp*100
sp2=.9cp
sp2-sp1=50
(1.15-0.9)cp=50
cp=200

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mohan lal garg  (10 years ago)

Let us assume cost price of the article is Rs.100x. then selling price = 90x. But if he sold the product for Rs.50 more his profit is 15%. In this case his selling price is 115x. But the difference in the selling prices were gives as Rs.50. So 115x - 90x = 50, therefore x = 2. Substituting in cost price, CP = Rs.200

Alternate method:

Difference in two selling prices = 10% - (-15%) = 10% + 15% = 25% of cost price
Actual difference in two selling price = Rs. 50 (i.e. 2 times of 25)
Therefore, Cost Price = 2 x Rs. 100 = Rs. 200

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