Question
The ratio of the height of a room and its semi-perimeter
is 2:5. The cost of applying 50cm wide paper at the rate of Rs 8/meter on the remaining walls except 15 square meters of doors and windows is Rs 1040. What is the height of this room? type-sscSolution
Let the height of room =2x meter and (l + b) =5x meter Length of paper =1040/8 =130meter width of paper =50cm =50/100=1/2meter Area of paper = 130×1/2 =65m2 Area of four walls= (65+15) =80m2 2(l+ b) ×h =80 2(5x) ×2x=80 20x2 =80 X=2 Height of room =2x=2×2=4meter.
If n(A) = 25, n(B) = 40 and n(A ∪ B) = 50, then n(A ∩ B) equals
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