Question : On an article, the profit is 230% of the cost price. If the cost price increases by 50% but the selling price remains constant, then what is the new profit per cent?
Option 1: 54.54%
Option 2: 80%
Option 3: 120%
Option 4: 150%
Correct Answer: 120%
Solution :
Here, SP is the selling price and CP is the cost price.
Let CP be Rs. 100.
Profit = 230% of 100 = 230
SP = CP + Profit = Rs. 330
Now CP has increased by 50%
$\therefore$ New CP = Rs. 150
But SP remains constant.
$\therefore$ New Profit = Rs. (330 – 150) = Rs. 180
Now, new profit percentage $=\frac{\text{New profit}}{\text{New CP}}⨯100= \frac{180}{150}⨯100= 120\%$
Hence, the correct answer is 120%.
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