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Books and More sells books, music CDs and film DVDs. In December 2009, they earned 40% profit in music CDs and 25% profit in books. Music CDs contributed 35% towards their total sales in rupees. At the same time total sales in rupees from books is 50% more than that of music CDs.
[1] If Books and More have earned 20% profit overall, then in film DVDs they made
(1) 15.2% profit
(2) 10.0% profit
(3) 10.0% loss
(4) 16.3% loss
(5) 23.4% loss[2] If Books and More made 50% loss in film DVDs, then overall they made
(1) 12.3% profit
(2) 8. 7% profit
(3) 0.4% loss
(4) 6.25% loss
(5) 20% lossasked in XAT
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An automobiles company’s annual sales of its small cars depends on the state of the economy as well as on whether the company uses some high profile individual as its brand ambassador in advertisements of its product. The state of the economy is “good”, “okay” and “bad” with probabilities 0.3, 0.4 and 0.3 respectively. The company may choose a high profile individual as its brand ambassador in TV ads or may go for the TV ads without a high profile brand ambassador.
If the company fixes price at Rs. 3.5 lakh, the annual sales of its small cars for different states of the economy and for different kinds of TV ads are summarized in table 1. The figures in the first row are annual sales of the small cars when the company uses a high profile individual as its brand ambassador in its TV ads and the ones in the second row are that when the company does not use any brand ambassador in TV ads, for different states of the economy.
TABLE :1"Good" "Okay" "Bad" With brand ambassador 100000 80000 50000 Without brand ambassador 80000 50000 30000
Without knowing what exactly will be the state of the company in the coming one year, the company will either have to sign a TV ad contract with some high profile individual, who will be the company’s brand ambassador for its small car for the next one year, or go for a TV ad without featuring any high profile individual. It incurs a cost of Rs. 3.45 lakh (excluding the payment to the brand ambassador) to put a car on the road.
When the company’s profit is ascertain, the company makes decisions on basis of its expected profit. If the company can earn a profit xi with probability pi (the probability depends on the state of economy), then the expected profit of the company is
∑xi pi .[1] The maximum that the company can afford to pay its brand ambassador is
(1) Rs. 10.0 crore
(2) Rs. 10.6 crore
(3) Rs. 10.8 crore
(4) Rs. 12.0 crore
(5) Rs. 16.4 crore[2] Mr. Khan a popular film actor, agrees to sign the contract to become the company’s brand ambassador for Rs. 9 crore. The cost to the company of putting a car on the road also got escalated. The maximum escalation in cost of putting a car on the road, for which the company can afford to sign the contract with Mr. Khan is
(1) Rs. 900
(2) Rs. 967
(3) Rs. 1250
(4) Rs. 1267
(5) Rs. 1333
[3] Mr. Khan a popular film actor, agrees to sign the contract to become the company’s brand ambassador for Rs. 9 crore. The cost to the company of putting a car on the road also got escalated by Rs. 1000. If the company signs the contract with Mr. Khan, its profit will
(1) increase by Rs. 40 lakh
(2) increase by Rs. 60 lakh
(3) decrease by Rs. 20 lakh
(4) decrease by Rs. 40 lakh
(5) decrease by Rs. 50 lakhasked in XAT
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