Latest CAT Aptitude Question SOLUTION: If two articles are bought for Rs.600 and one of them sold at a profit of 22% and the other at a loss of 8% then no profit or loss is made. What is the selling price of the article

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(#M40009636) CAT Numerical Ability question Keep an EYE

If two articles are bought for Rs.600 and one of them sold at a profit of 22% and the other at a loss of 8% then no profit or loss is made. What is the selling price of the article that sold at a loss?

Asked In CAT Devendra Marghade (12 years ago)

Solved Vignesh Read Solution (2)

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Read Solution (2) :

Vignesh  (12 years ago)

Selling price of the article that sold at a loss = 404.80

Let X = Price of the first article
And Y = Price of the second article.

Therefore, X+Y = 600

1st article be sold at a profit of = 22%,
Therefore, selling price of the first article = X + (22/100)X = 1.22X

while the 2nd one be sold at a loss of = 8%.
Therefore, selling price of the second article = Y - (8/100)Y = 0.92Y

Total selling price of the first and second article = 1.22X + 0.92Y

No profit or loss in transaction.
So, Selling price is equal to Cost price of both articles.

So, 1.22X + 0.92Y = X+Y = 600------->(i)

As X+ Y = 600 --> Y = 600 - X.

Substituting Y value in eqn (i), we get

1.22X + 0.92(600 - X) = 600

--> 1.22X - 0.92X = 600 - 0.92*600
--> 0.3X = 0.08*600 = 48
--> X = 48/(0.3)
--> X = 160

If X = 160, then Y=600-160 --> Y = 440.

The selling price of article 2(loss) = 0.92 *Y
= 0.92 *440
= 404.80

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ISHANI CHOWDHURY  (12 years ago)

Let X = Price of the first article
And Y = Price of the second article.
X+Y=600
1st article sold at 22% profit..
if X is the cost price then selling price=122X/100.
2nd article old at 8% loss.
if Y is the cost price then selling price=92Y/100.
(122X/100)+(92Y/100)=600..............(i)
X+Y=600............................(ii)
by solving (i) and (ii) we get
X=160,Y=440(ans)

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