A manufacturer makes 1200 articles at rs2.50 each.he marks each of them at such a price that if only 800 article are sold he would make a profit of 40% of
his outlay. But however he is able to sell 840 articles at their marked price and remaining at 60% of their marked price. calculate manufacture's profit as percent.?

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2015-04-10T14:17:32+05:30

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N = 1200  at price = Rs 2.50
So cost price of the N articles :  1200 * 2.50 = Rs 3,000  = outlay = investment
Profit of 40% on outlay = 40 /100 * 3,000 = Rs 1, 200

so total revenue after selling only 800 articles : outlay + profit
         800 * SP = 3, 000 + 1200 = Rs 4,200

Sale price = 4,200/800 = Rs 5.25  each article.  = marked price

He was able to sell 840 articles out of 1200 at Rs 5.25.
 So the revenue = 840 * Rs 5.25 = Rs 4,410

remaining articles = 1200 - 840 = 360
selling price of these = 60% * 5.25 = Rs 3.125
revenue from these =  360 * 3.125 =  Rs 1, 125

total revenue = Rs 4,410 + 1,125 = Rs 5, 535

investment or outlay = Rs 3, 000

profit = [5, 535 - 3, 000 ] = Rs 2, 535

profit % = Rs 2,535 / 3,000 * 100 =  84.5%

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