Q 46 - Q 50 are based on Case Study-2 Case Study-2: A company manufactures two types of sanitizers Alpha and Beta. The cost of the small bottle of Alpha sanitizer is Rs. 10 and for beta sanitizer is Rs. 12. In the month of June, the company sold total 1000 bottles and makes a total sale of Rs. 10,820. Seeing the great demand and short of supply, company decided to increase the price of both the sanitizer by Rs. 1. In the next month i.e., July, the company sold 2,500 bottles and total sales of Rs. 29,200. Answer the following questions:
46. How many sanitizers of Alpha and Beta were sold in the month of June respectively? (a) 460, 510 (b) 540, 460 (c) 410, 590 (d) 590, 410
47. If the store sold 500 bottles of each type of sanitizer in June, what would be their sales? (a) Rs. 5500 (b) Rs. 5600 (C) Rs. 10,500 (d) Rs. 11,000
48. How many bottles of each type were sold in the next month when rate was increased? (a) 1200, 1300 (b) 1300, 1200 (C) 1550, 950 (d) 1650, 850
49. What percent of increase was found in alpha sanitizer in July as compared to June? (a) 182% (b) 79%(c) 179.66% (d) 50%
50. In July, if total of 1050 bottles of each type were sold, what would be the sale? (a) Rs. 25,000 (b) Rs. 25,200 (c) Rs. 27,000 (d) Rs. 28,500
Answers
Given : . The cost of the small bottle of Alpha sanitizer is Rs. 10 and for beta sanitizer is Rs. 12
In the month of June, the company sold total 1000 bottles and makes a total sale of Rs. 10,820.
Company decided to increase the price of both the sanitizer by Rs. 1. In the next month i.e., July,
the company sold 2,500 bottles and total sales of Rs. 29,200.
To Find :
How many sanitizers of Alpha and Beta were sold in the month of June
If the store sold 500 bottles of each type of sanitizer in June, what would be their sale
How many bottles of each type were sold in the next month when rate was increased
What percent of increase was found in alpha sanitizer in July as compared to June
In July, if total of 1050 bottles of each type were sold, what would be the sale
Solution:
Alpha sanitizer is Rs. 10 and sold x
Then sale = 10x
beta sanitizer is Rs. 12 and sold y
Then sale = 12y
Total Bottles sold = 1000
=> x + y = 1000 Eq1
Total Revenue = 10,820
=> 10x + 12y = 10820 Eq2
Eq2 - 10 * Eq1
=> 2y = 820
=> y = 410
=> x = 590
Correct option is (d) 590, 410
500 bottles of each type of sanitizer in June,
Then revenue = 500 * 10 + 500 * 12 = 11000 Rs
Correct option is (d) Rs. 11,000
Rate in july 11 and 13 as increase of 1 rs
x + y = 2500
11x + 13y = 29200
on Solving x =1650 , y = 850
Correct option is (d) 1650, 850
increase in alpha sanitizer from 590 to 1650 = 1650 - 590 =1060
percent of increase = (1060/590) * 100 = 179.66 %
Correct option is (c) 179.66%
In July, if total of 1050 bottles of each type were sold
= 1050 *11 + 1050 * 13 = Rs. 25,200
Correct option is (b) Rs. 25,200
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