Question 51

An article is sold for ₹4,800 at a profit of 20%. If the selling price is increased by ₹600, then what will be the profit percentage?

Solution

Let's assume the cost price of the article is '100y'.

An article is sold for ₹4,800 at a profit of 20%.

Selling price of the article = 100y of (100+20)% = ₹4800

100y of 120% = ₹4800

120y = ₹4800

y = ₹40

cost price of the article = 100y = $$100\times40$$ = ₹4000

If the selling price is increased by ₹600.

New selling price of the article after the increase = ₹4800+₹600

= ₹5400

Now profit percentage = $$\frac{(new\ selling\ price - cost\ price)}{cost\ price}\times100$$

= $$\frac{(5400-4000)}{4000}\times100$$

= $$\frac{1400}{40}$$

= 35%


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