Latest self Aptitude Question SOLUTION: Goods are purchased for Rs. 450 and one-third is sold at a loss of 10%. At what profit per cent should the remainder be sold so as to gain 20% on the whole transaction?

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(#M40020922) SELF question Keep an EYE

Goods are purchased for Rs. 450 and one-third is sold at a loss of 10%. At what profit per cent should the remainder be sold so as to gain 20% on the whole transaction?

vikash singh (10 years ago)

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mohan lal garg  (10 years ago)

Assume Total cost price of goods = Rs. 450
Our target SP of total goods = 120100×450=Rs.540

One-third of the goods costs = 450/3 = Rs.150

SP of one-third goods = 90100×150=Rs.135.

SP of the remaining goods = 540 – 135 = Rs. 405

CP of remaining (two-thirds) goods = Rs. 300

Hence, profit per cent = .105300×100=35%

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Devendra Marghade  (10 years ago)

35%
If the quantity of goods= x, the price/good=450/x
Earning by selling 1/3 goods @10% loss= (x/3)*0.9*(450/x)=135 Rs.
As there is gain of 20% on whole transaction
so total earnings required=1.2*450=540 Rs.
Remaining earning needed by 2/3 of the good=540-135=405 Rs.
So price/good for remaining 2x/3 goods=405/(2x/3)=1215/2x
Profit % for remaining goods=[(1215/2x)*100/(450/x)]-100=135-100=35

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