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Previous Year Paper

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CAT-2007-Previous Years Paper

Question
15 out of 25
 

The price of Darjeeling tea (in rupees per kilogram) is 100 + 0.10n, on the nth day of 2007 (n = 1, 2, … 100). And then remains constant. On the other hand, the price of Ooty tea (in rupees per kilogram) is 89 + 0.15n, on the nth day of 2007 (n = 1, 2, …,, 365). On which date in 2007 will the prices of these two varieties of tea be equal?



A May 20

B April 10

C June 30

D May 21

E April 11

Ans. A

From 100 + 0.10n = 89 + 0.15n, n will be definitely greater than 100

Price of Darjeeling tea on 100th day and onwards = 100 + 0.10 (100) = Rs 110

Now, price of Ooty tea will be Rs 110 When 89 + 0.15n = 110

â 0.15n = 21 â n = 140

therefore prices will be equal on 140th day i.e., May 20.

CAT-2007-Previous Years Paper Flashcard List

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