19. The cost of type A mask is Rs. 15 and of type B mask is Rs. 20. In the month of April, 2020, the store sold 100 masks for total sales of Rs. 1650. (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
Answers
Step-by-step explanation:
1-70. 30. option C
70x 15+ 30x 20= 1650
2- 1750 option D
20x50=1000
15x50=750
-------------------
=1750
Answer:
The final answer is:
(i) Correct option is (c) - 70 masks of type A, and 30 masks of type B.
(ii) Correct option is (d) - Rs. 1750.
Step-by-step explanation:
Given that,
Cost of type A mask = Rs. 15
Cost of type B mask = Rs. 20
(i) Let 'x' be the number of masks of type A sold and let 'y' be the number of masks of type B sold in April, 2020.
Given, store sold 100 masks for total sales of Rs. 1650
So, x + y = 100 --- (1)
15x + 20y = 1650 --- (2)
By multiplying equation-(1) by 15 we get,
15x + 15y = 1500 ---(3)
By subtracting equation-(3) from equation-(2) we get,
20y - 15y = 150
5y = 150
y = 30
Substitute value of y in equation-(1),
x = 100 − y
x = 100 - 30
x = 70
Therefore, 70 masks of type A and 30 masks of type B were sold in the month of April.
The correct option is (c) - 70 masks of type A, and 30 masks of type B
(ii) Given that, store has sold 50 masks of each type.
So,
Total Sales = 50 × 15 + 50 × 20 = Rs. 1750
Thus (d) - Rs. 1750 is correct option.
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