A shopkeeper sells an item at Rs 36 and incurs a loss of 10%. At what price should the shopkeeper sell it to gain 30% ?OptionsNone of these563452
Question
A shopkeeper sells an item at Rs 36 and incurs a loss of 10%. At what price should the shopkeeper sell it to gain 30% ?
Options
None of these
5634
52
Solution
To solve this problem, we first need to find the cost price of the item for the shopkeeper.
Given that the shopkeeper sells the item at Rs 36 and incurs a loss of 10%, this means that 90% of the cost price is Rs 36.
So, we can set up the equation: 0.9 * Cost Price = Rs 36
Solving for Cost Price, we get: Cost Price = Rs 36 / 0.9 = Rs 40
Now, the shopkeeper wants to gain 30%. This means he wants to sell the item for 130% of the cost price.
So, the selling price should be: 1.3 * Cost Price = 1.3 * Rs 40 = Rs 52
Therefore, the shopkeeper should sell the item at Rs 52 to gain a profit of 30%. The correct option is 52.
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