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Set 3
An
exhibition featuring traditional clothes consists of men, ladies and kids
sections. Each section is
allotted a square area and the perimeter of 3 sections adds up to 240m and is distributed as follows.
allotted a square area and the perimeter of 3 sections adds up to 240m and is distributed as follows.
Three types of bulbs are used to light up
the entire area and they are distributed in accordance with the following
criteria.
Bulb type

Distribution

LED

1 per 5 m^{2}

CFL

1 per 25 m^{2}

Incandescent

1 per each 4m of perimeter

1. What is the ratio between the areas of ladies, kids and gents sections?
a. 41.67:33.33:25
b. 20:16:12
c. 25:9:16
d. 16:9:25
e. Cannot be determined
2. If the furnishing of each square meter requires Rs.125, How much more money is required to furnish the gents area than the kids section?
a. Rs.22875
b. Rs.28175
c. Rs.21875
d. Rs.21975
e. RS.22250
3. What will be cost for lighting up the ladies section provided that each LED costs Rs.80, CFL Rs.75 and incandescent bulb Rs.12?
a. Rs.12175
b. Rs.12225
c. Rs.12715
d. Rs.12525
e. Rs.12515
4. What percentage of the LED bulbs is utilized to light up the kids section?
a. 16%
b. 17%
c. 14%
d. 20%
e. 18%
5. What will the total electricity consumption of the ladies and gents section together in a day provided that consumption of each LED is 0.2 units/day, CFL is 0.4units/day, and incandescent bulb is 1 unit/day respectively?
a. 102.5
b. 102.4
c. 105.5
d. 115.5
e. 112.5
Answers: 1.c 2.c 3.a 4.e 5.b
Ladies: 41.67% of 240= 100m (each side is 25m and area is 625m2)
Gents: 33.33% of 240= 80m (each side is 20m and area is 400m2)
Kids: 25% of 240= 60m (each side is 15m and area is 225m2)
From the above data we can arrive create the following table.
1. Ratio between the areas of ladies, kids and gents sections is 625:225:400= 25:9:16 (c)
2. Area of gents section Area of kids section= 400225=175m2
Furnishing charge is Rs.125/m2
Expense for furnishing extra 175m2= 175*125= 21875 (c)
3. Cost for lighting up the ladies section = 125*80+ 25*75+ 25*12= Rs.12175 (a)
4. Percentage of the LED bulbs utilised to light up the kids section= (45/250)*100= 18% (e)
5. Total number of LED, CFL, and incandescent bulbs in ladies and gents section together is 205, 41, and 45 respectively.
Therefore the total electricity consumption in a day= 205*0.2+ 41*0.4+ 45*1
= 102.4 (b)
a. 41.67:33.33:25
b. 20:16:12
c. 25:9:16
d. 16:9:25
e. Cannot be determined
2. If the furnishing of each square meter requires Rs.125, How much more money is required to furnish the gents area than the kids section?
a. Rs.22875
b. Rs.28175
c. Rs.21875
d. Rs.21975
e. RS.22250
3. What will be cost for lighting up the ladies section provided that each LED costs Rs.80, CFL Rs.75 and incandescent bulb Rs.12?
a. Rs.12175
b. Rs.12225
c. Rs.12715
d. Rs.12525
e. Rs.12515
4. What percentage of the LED bulbs is utilized to light up the kids section?
a. 16%
b. 17%
c. 14%
d. 20%
e. 18%
5. What will the total electricity consumption of the ladies and gents section together in a day provided that consumption of each LED is 0.2 units/day, CFL is 0.4units/day, and incandescent bulb is 1 unit/day respectively?
a. 102.5
b. 102.4
c. 105.5
d. 115.5
e. 112.5
Answers: 1.c 2.c 3.a 4.e 5.b
Solutions
Perimeter of a square= 4*length of its one sideLadies: 41.67% of 240= 100m (each side is 25m and area is 625m2)
Gents: 33.33% of 240= 80m (each side is 20m and area is 400m2)
Kids: 25% of 240= 60m (each side is 15m and area is 225m2)
From the above data we can arrive create the following table.
Bulb type

Distribution

Ladies

Gents

Kids

Total

LED

1 per 5 m^{2}

125

80

45

250

CFL

1 per 25 m^{2}

25

16

9

50

Incandescent

1 per each 4m of perimeter

25

20

15

60

1. Ratio between the areas of ladies, kids and gents sections is 625:225:400= 25:9:16 (c)
2. Area of gents section Area of kids section= 400225=175m2
Furnishing charge is Rs.125/m2
Expense for furnishing extra 175m2= 175*125= 21875 (c)
3. Cost for lighting up the ladies section = 125*80+ 25*75+ 25*12= Rs.12175 (a)
4. Percentage of the LED bulbs utilised to light up the kids section= (45/250)*100= 18% (e)
5. Total number of LED, CFL, and incandescent bulbs in ladies and gents section together is 205, 41, and 45 respectively.
Therefore the total electricity consumption in a day= 205*0.2+ 41*0.4+ 45*1
= 102.4 (b)
This post is written by Arjun KV. I am thankful to him for his efforts for others.
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