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(#M40058595) ELITMUS Logical Reasoning question Data Sufficiency Keep an EYE

Find the profit percentage earned by the trader.

I. The loss incurred by the trader, when he sells at three-fourth the actual selling price is
twice the profit made by the trader when he sells at the actual selling price.
II. Had he sold at 20% less than the actual selling price, the trader would have made a
profit of 20%.

Mark a : if the question can be answered by using one of the statements alone, but cannot
be answered by using the other statement alone.
Mark b : if the question can be answered by using either statement alone.
Mark c : if the question can be answered by using both statements together, but cannot be
answered by using either statement alone.
Mark d : if the question cannot be answered even by using both the statements together.

Asked In Elitmus khan mohd riyaz (9 years ago)

Unsolved Read Solution (3)

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Read Solution (3) :

nidhi rani  (9 years ago)

ans- b)
using statement 1:
let C.P= x and S.P= y (actual selling prince)
given that, ((x-3*y/4)*100)/x = 2*((y-x)*100)/x
after solving this eq we got x=(11*y)/12 = cost price

here after putting the value of x in eq % profit= ( (y-x)*100 )/x you will get required profit.

similarly using st 2
given that when S.P= 20% less than actual S.P then profit= 20%
i.e, when S.P = (4*y)/5 then profit= 20%
i.e, ( ( (4*y)/5 - x ) *100 )/x= 20
solve this eq u will get y = (6*x)/4

after putting this value in eq % profit= ( (y-x)*100 )/x u will get required ans.

hence each statement alone is sufficient.

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Manish Tiwari  (9 years ago)

The answer will be a

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khan mohd riyaz  (9 years ago)

plz elaborate ur ans... Manish

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