Due to ongoing Corona virus outbreak, Raj Medical store has started selling masks of decent quality. The store is selling two types of masks currently type A and type B . The cost of one type A mask is Rs. 15 and of one type B mask is Rs. 20. In the month of April, 2020, the store sold 100 masks for total sales of Rs. 1650.
Due to great demand and short supply, the store has increased the price of each type by Rs.
5 from May 1, 2020. In the month of May, 2020, the store sold 310 masks for total sales of Rs. 6875.
The store decided to decreased the price of each type in December, and revert back to the original prices.
On the basis of the above information, answer any four of the following questions:
(i) How many masks of each type were sold in the month of April?
(a) 40 masks of type A, and 60 masks of type B
(b) 60 masks of type A, and 40 masks of type B
(c) 70 masks of type A, and 30 masks of type B
(d) 30 masks of type A, and 70 masks of type B
(ii) If the store had sold 50 masks of each type, what would be its sales in the month of April?
(a) Rs 550 (b) Rs 560 (c) Rs 1050 (d) Rs 1750
(iii) How many masks of each type were sold in the month of May?
(a) 175 masks of type A, and 135 masks of te B
(b) 200 masks of type A, and 110 masks of type B
(c) 110 masks of type A, and 200 masks of type B
(d) 135 masks of type A, and 175 masks of type B
(iv) What will be the total cost of 100 masks in December if no. of type B masks is triple the number of type A masks
(a) Rs 1875 (b) Rs 1500 (c) Rs 1625 (d) Rs 175
Answers
Given : The store is selling two types of masks currently type A and type B . The cost of one type A mask is Rs. 15 and of one type B mask is Rs. 20. In the month of April, 2020, the store sold 100 masks for total sales of Rs. 1650.
To Find : How many masks of each type were sold in the month of April?
(a) 40 masks of type A, and 60 masks of type B
(b) 60 masks of type A, and 40 masks of type B
(c) 70 masks of type A, and 30 masks of type B
(d) 30 masks of type A, and 70 masks of type B
Solution:
Let say Type A mask sold = x
Total Mask sold = 100
Hence Type B mask Sold = 100 - x
type A mask is Rs. 15
Selling price of Mask A = 15x
type B mask is Rs. 20
Selling price of Mask B = 20(100 - x)
Total Sell = 15x + 20(100 - x)
= 15x + 2000 - 20x
= 2000 - 5x
2000 - 5x = 1650
=> 5x = 350
=> x = 70
Type A = 70
Type B = 100 - 70 = 30
(c) 70 masks of type A, and 30 masks of type B
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