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Question

Ravish brought 100 articles for ₹4000. He sold 20 of them at a gain of 5%. At what gain per cent must he sell the remaining articles so as to gain 20% on the whole?

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Solution

CP of 1 article = 4000/100 = Rs 40
He sells 20 articles at a gain of 5%
So,
Selling Price Of Those 20 Articles = 40*20 + 40*20*5/100
=800 + 40
= Rs 840

On the whole he wants 20% profit
which means the profit he wants = 20/100 * 4000
= Rs 800

CP of 80 Articles = 80*40 = Rs 3200
From Rs 800 he already got Profit Of Rs 40 Which Means he has to get More Rs 760

P% = P/CP * 100
= (760 / 3200) * 100
= 23.75%

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