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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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%
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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