Ravish bought 100 articles for Rs. 4000. He sold 20 of them at a gain of 5%. He must sell the remaining articles at a gain percent of ____% so as to gain 20% on the whole.

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Detailed Solution

Concept- Ravish should sell the articles at a gain percent of 23.75% so as to gain 20% profit on whole. Find the selling price of 20 items first. then determine the selling price of each item. The selling price of 80 products is then determined by deducting the selling price of 20 articles from the total selling price. Now calculate the cost of 80 goods. the gain on 80 articles, and thereafter. Then, by dividing the benefit by the cost of 80 goods, determine the gain percentage.
Let the selling price of 20 articles be Rs.x.
Cost of 100 articles

Therefore,
Cost price of 1 articles

Given that Ravish made a gain of on the sale of 20 items

.
Cost of 20 articles

Rs. 800
Let the selling price of 20 articles be Rs.x.
So,

Now to get

gain on whole transaction,
Selling price of all the articles should be

of cost price.
Let the selling price of all the articles be Rs.y
Therefore,

Now,
Selling price of 80 articles

Rs. 3960
Cost price of 80 articles

Rs. 3200
Gain

Rs. 760
So,
Gain

on 80 articles