An algebra problem by Tammu Triveni

Algebra Level 2

The profit obtained by selling an Article at Rs.800 is equal to twice the loss incurred by selling it at Rs.500.what is the profit percentage, if the article is sold for Rs.800


The answer is 33.33.

Tammu Triveni by Tammu Triveni , 26, India

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3 solutions

Tammu Triveni
Jun 20, 2014

profit= 2(loss), ( SP-CP )=2( CP-SP), (800-CP)=2(CP-500), 3CP=1800 CP=600, If the article is sold at profit, profit %=(profit/cp)x 100, (200/600)x100=33.33%

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Filly Mare
Jun 25, 2014

Let item value be x. let the amount gained or lost be P. x + 2 P = 800 , x − P = 500 x+2P=800, x-P=500 Solving simultaneous equations gives P = 100 , x = 600 ⇒ 200 600 × 100 = 33.33 P=100, x=600 \Rightarrow \frac{200}{600} \times 100 = 33.33 %

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Yuvraj Patil
Jun 24, 2014

Let original price be x rupees. Hence, loss = x - 500 According to problem statement, x + 2(x - 500) = 800 3x = 1800 x = 600 profit = 200 % profit = 33.33%

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