Multiple choice

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Directions: Study the following information carefully and answer the given question. There are four pizza shops M, N, O and P. Each shop sells large and small pizzas, and the price of each large and small pizza is same, i.e. Rs. 150 and Rs. 90, respectively. For extra cheese and extra topping, Rs. 20 and Rs. 15 are charged, respectively. More information about the number of pizzas sold by these shops is given below. The total large pizzas sold by M are (y) and the total small pizzas sold are (y – 20). Total pizzas sold by N are 90. The ratio of extra cheese and topping orders received by M is 2 : 3, respectively, and the total extra cheese and topping orders received by M are y – 10. The ratio of the total large and small pizzas sold by O is 3 : 5 and the total extra cheese and topping orders received are 40 and 10, respectively. The ratio of the total pizzas sold by P to the total pizzas sold by O is 9 : 8. The total worth of the orders received by N is Rs. 3100 more than the total worth of the orders received by O. The extra cheese orders received by N are 20 more than the extra topping orders received and the total large pizzas sold are 50 more than the total small pizzas sold. The total extra topping and cheese orders received by P are 30 and the extra cheese orders received by P are 50% of the extra cheese orders received by M. The ratio of the total pizzas sold by M, O and N is 10 : 8 : 9, respectively.

If the average of the large pizzas sold by the four shops is 50, then what is the total number large pizzas sold by P?

  1. 60

  2. 50

  3. 40

  4. 30

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Based on the provided ratios and totals: M total = 10k, O total = 8k, N total = 9k. N = 90, so k = 10. Thus M=100, O=80, N=90. P/O = 9/8, so P = 90. Large pizzas for M = y, small = y-20, total 2y-20 = 100 => y=60. For O, ratio large:small is 3:5, total 80, so large = 30. For N, large = small + 50, total 90, so large = 70. Average of 4 shops = 50, so (60+30+70+P)/4 = 50 => 160+P = 200 => P = 40.

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