A manufacturer makes 1200 articles at Rs 2.50 each. He marks each of them at such a price that if only 800 articles 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 the remaining at 60% of their marked price. Calculate manufacturer's total profit as per cent (in the integer value).

80

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85

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90

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95

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Solution

The correct option is A $85$
Total cost price (CP) $= N u m b e r o f a r t i c l e s \times C o s t o f e a c h a r t i c l e = 1200 \times 2.50 = 3000 R s$

Let marked price of articles $= x R s$

So, Selling price of 800 articles (SP) $= 800 x R s$

Manufacturer gets 40% profit after selling 800 articles.

We know that, $S P = C P + P r o f i t$

$\Rightarrow 800 x = 3000 + 40 % o f 3000$

$\Rightarrow 800 x = 4200$

$∴ x = \frac{42}{8} = 5.25$

Now, Since Manufacturer solds $840$ articles at marked price and remaining $(1200 - 840 = 360)$ at $60 %$ of marked price.

So, In this case, Total Selling price (SP') $= (840 \times 5.25) + (360 \times (60 % o f 5.25))$

$\Rightarrow S P^{'} = 4410 + 1134 = 5544 R s$

So, $P r o f i t = S P^{'} - C P = 5544 - 3000 = 2544 R s$

$∴ P r o f i t p e r c e n t a g e = \frac{p r o f i t t i m e s 100}{C P} = \frac{2544 \times 100}{3000} = 84.8 = 85 % (N e a r e s t I n t e g e r)$

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