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.
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)What percent of masks of each type sale was increased in the month of May,
compared with the sale of month April?
(a) 110 % in type A and 180 % in type B
(b) 180 % in type A and 110 % in type B
(c) 350 % in type A and 150 % in type B
(d) 150 % in type A and 350 % in type B
2. Underground water tank is popular in India. It is usually used for large water tank
storage and can be built cheaply using cement-like materials. Underground water
tanks are typically chosen by people who want to save space. The water in the
underground tank is not affected by extreme weather conditions. The underground
tanks maintain cool temperatures in both winter and summer. Electric pump is
used to move water from the underground tank to overhead tank.
Ramesh has build recently his house and installed a underground tank and overhead tank.
Dimensions of tanks are as follows :
Underground Tank : Base 2m x 2 m and Height 1.1 m.
Overhead tank : Radius 50 cm and Height 175 cm
On the basis of the above information, answer the following questions:
(i) What is the capacity of the underground tank ?
(a) 2200 litres (b) 44000 litres (c) 4400 litres (d) 22000 litres
(ii) What is the ratio of the capacity of the Underground Tank to the capacity of the
overhead tank?
(a) 1.75 (b) 1.25 (c) 2.5 (d) 3.2
(iii)If water is filled in the overhead tank at the rate of 11 litre per minute, the tank will be
completely filled in how many time?
(a) 65 minutes (b) 62.5 minutes (c) 130 minutes (d) 125 minutes
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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