Select the correct answerA shopkeeper sells an item at Rs 36 and incurs a loss of 10%. At what price should the shopkeeper sell it to gain 30% ?Options3452None of these56
Question
Select the correct answerA shopkeeper sells an item at Rs 36 and incurs a loss of 10%. At what price should the shopkeeper sell it to gain 30% ?Options3452None of these56
Solution
To solve this problem, we first need to find the cost price of the item for the shopkeeper.
Given that the shopkeeper incurs a loss of 10%, it means that Rs 36 represents 90% of the cost price.
So, we can set up the equation: 90/100 * Cost Price = Rs 36
Solving for Cost Price gives us: Cost Price = Rs 36 / (90/100) = Rs 40
Now, the shopkeeper wants to gain 30%. This means the selling price should be 130% of the cost price.
So, the new selling price should be: 130/100 * Cost Price = New Selling Price 130/100 * Rs 40 = Rs 52
So, the shopkeeper should sell the item at Rs 52 to gain a profit of 30%.
Therefore, the correct answer is 52.
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