Wednesday, June 13, 2012

CAT 1996 Percentage Questions


1.       I sold two watches for Rs 300 each, one at a loss of 10% and the other at a profit of 10%. What is the per cent loss (-) or the per cent profit (+) that resulted from the transaction?
(a)    (+) 10                       (b) (-) 1                          (c) (+) 1                                 (d) 0

2.       The price of Maruti Car rises by 30% while the sales of the car come down by 20%. What is the per cent in the total revenue?
(a)    -4                             (b) -2                               (c) +4                                    (d) +2

3.       The cost of a diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weights in the ratio 1:2:3:4. When the pieces were sold, the merchant got Rs 70,000 less. Find the original price of the diamond.
(a)    Rs 1.4 lakh               (b) Rs 2.0 lakh                 (c) Rs 1.0 lakh                     (d) Rs 2.1 lakh

4.       I bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what I had paid. What percent of the total paid by one was paid for the pens?
(a)    37.5%                        (b) 62.5%                         (c) 50%                                 (d) None of these

Directions for questions 5 & 6: read the information given below and answer the questions that follow:

A watch dealer incurs an expense of Rs 150 for producing every watch. He also incurs an additional expenditure of Rs 30,000, which is independent of the number of watches produced. If he is able to sell a watch during the season, he sells it for Rs 250. If he fails to do so, he has to sell each watch for Rs 100.    
5.       If he is able to sell only 1200 out of the 1500 watches he has made in the season, then the season he has made a profit of
(a)    Rs 90,000                   (b) Rs 75.000                   (c) Rs 45,000                     (d) Rs 60,000

6.       If he produces 1500 watches, what is the number of watches that he must sell during the season in order to break even, given that he is able to sell all the watches produced?
(a)    500                              (b) 700                              (c) 800                               (d) 1,000

7.       Instead of a meter scale cloth merchant uses a 120 cm scale while buying but uses an 80 cm scale while selling the same cloth. If he offers a discount of 20 per cent of cash payment, what is his overall per cent profit?
(a)    20%                                (b) 25%                            (c) 40%                               (d) 15%

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