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Emdad
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Let the CP of the loss article be x. Then CP of profit article is 1400-x
For no gain or loss, The loss of article = The profit on article
Hence, 0.08(x) = 0.2(1400-x)
=> 0.08x = 280 - 0.2x
=> 0.28x = 280
=> x = 1000
The SP of article at loss = 0.92x = 0.92*1000 = 920.

Derivation:
No loss, no gain means Total SP = Total CP
Total SP = CP1 + Profit + CP2 - Loss
Total CP = CP1 + CP2
equation both eqn. we get Profit = Loss
Emdad
A merchant buys two articles for Taka 1400. He sells one of them at a profit of 20% and the other at a loss of 8%. He makes no profit or loss in the end. What is the selling price of the article that he sold at a loss?
(A) 1000
(B) 1200
(C) 800
(D) 900
(E) none of these

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Emdad
A merchant buys two articles for Taka 1400. He sells one of them at a profit of 20% and the other at a loss of 8%. He makes no profit or loss in the end. What is the selling price of the article that he sold at a loss?
(A) 1000
(B) 1200
(C) 800
(D) 900
(E) none of these

Posted from my mobile device
let the 2 articles be priced as X and 1400-X.
1) X at 20% profit = 1.2X
2) 1400-X at 8% loss = 0.92(1400-X) = 1288 - 0.92X
3) 1400 = 1.2X + 1288 - 0.92X => 0.28X = 112 => X = 400
Hence, the item sold loss is 1400-X = 1400- 400 = 1000.
.
OPTION A) 1000
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