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Alligation
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A trader has 50 kg of pulses, part of which he sells at 14% profit and rest at 6% loss. On the whole his loss is 4%. How much quantity is sold at 14% profit and that at 6% loss?

Answer & Solution
Correct Answer: Option A
Alligation mcq Solution 8
Hence, ratio of quantity sold at 14% profit and 6% loss,
= 2 : 18 = 1 : 9
Hence, pulses sold at 14% profit,
= $$\frac{{50 \times 1}}{{10}}$$  = 5 kg.
At 6% Wheat sold at loss = 45 kg.
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3 Comments
Fahim Faisal
Fahim Faisal 7 years ago
14x+[-6(50-x)]=-4*50
> 20x=100
>x=5
Md Helal
Md Helal 8 years ago
Another method :
114% of x + 94% of (50-x) = 96% of 50
⇒ 57x /50 + 47(50-x)/50 = 48
⇒57x + 2350 - 47x = 2400
⇒10x = 50
⇒x = 5 kg
Sold at 14% profit 5 kg
Sold at 6% loss 45 kg
Exceptional Ahmed
Exceptional Ahmed 8 years ago
how can i solve another method??