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There are five boxes in a cargo hold. The weight of the first box is 200 kg and theweight of the second box is 20% higher than the weight of the third box, whose weight is 25% higher than the first box’s weight. The fourth box at 350 kg is 30% lighter than the fifth box. Find the difference in the average weight of the four heaviest boxes and the four lightest boxes.
1. 80 kg
2. 75 kg
3. 37.5 kg
4. 116.8 kg
Read Solution (Total 11)
-
- ans=75 kg
weight of 1st box=200 kg
so weight of 3rd box=250 kg
weight of 2nd box = 300 kg nd 4th box= 350
thus 5th box=500 kg
avg weight of four heaviest boxes= 1400/4=350
nd lightest box=1100/4=275
diff=75 kg - 12 years agoHelpfull: Yes(23) No(10)
- Weight of
1st box= 200
3rd box= 25 % of 1st box = 25*2 + 200 =250
2nd box= 20 % of 3rd box = 20*2.5 + 250 =300
4th box at 350 means its weight is = 350
let say the weight of fifth box is = x
then
according to question at 350 kg the weight of 4th box is 30% less then 5 th box..that is
350 = (x-30%)
350=(x-30*1/100)
by solving this you will get
x=500
no the weight of the 5th box is = 500
now according to question
difference
4 heaviest box total weight = 500+350+300+250=1400
4 lightest box total weight = +350+300+250+200=1100
difference of their total weight is =1400-1100=300
the average weight is =300/4=75
- 10 years agoHelpfull: Yes(13) No(3)
- 5th box=455kg
so final ans=63.75 - 10 years agoHelpfull: Yes(9) No(19)
- ans=63.75
weight of first box=200kg
weight of second box=250kg
weight of third box=300kg
weight of fourth box=350kg(fourth box is 30% lighter than the fifth box)
weight of fifth box=455kg(130/100*350=455)
so, avg of four heaviest boxes=455+350+300+250/4=338.75
avg of four lightest boxes=200+250+300+350/4=275
difference is=63.75 - 10 years agoHelpfull: Yes(6) No(7)
- 1ST BOX=200 kg
2ND BOX =300 kg
3RD BOX =250kg
4TH BOX=350 kg
let 5th box xkg
x-30/100 x=350 kg
7x/10=350 kg
x=500 kg
(500+350+300+250)/4 -(200+250+300+350)/4
350-275
=75 kg - 9 years agoHelpfull: Yes(6) No(1)
- confusion is on finding the weight of fifth box..
so if we consider weight of 5th box= 130/100 * 350 = 455, then ans will be 63.75
if weight of 5th box= 100/70 * 350 = 500, then ans will be 75..
because 4th box is 30% lighter than 5th box means
it may be 70 & 100
or it may be 100& 130 - 10 years agoHelpfull: Yes(4) No(4)
- 200……….250………300………….350………….270aprx
Fifth box= 350*100/70=270
350+300+270+250/4=292.5
200+250+300+270/4=255
292.5-255=37.5 - 7 years agoHelpfull: Yes(2) No(0)
- ans = 75 kg
4th box at 350 kg is 30% lighter than the fifth box .... it means"350 kg is 70% of the fifth box"
so, 70% is 350 kg ==> hence 30% is 150
thus 350 (70%) + 150 (30%) = 500 kg
5th box weight is 500 kg .... - 7 years agoHelpfull: Yes(0) No(0)
- 1st box=200
3rd box=250 -> (200+25%200)
2nd box=300-> (20%250+250)
4th box=350
5th box=245->(350-30%350)
ans=(350+300+250+245)/4 - (200+250+245+300)/4
= 37.5 kg - 6 years agoHelpfull: Yes(0) No(0)
- 1st Box = 200 Kg
3rd Box = 200*1.25 = 250 Kg
2nd Box = 250 kg * 1.2 = 300 Kg
4th Box = 350 Kg
5th Box = 350/0.7= 500 KG
Avg weight of 4 heaviest boxes = (500+350+300+250)/5
Avg weight of 4 lighest boxes = (350+300+250+200)/4
Difference in weight = (500 - 200)/4
Average weight = 300/4 = 75 KG - 5 years agoHelpfull: Yes(0) No(0)
- answer is 37.5 kg
weight of 1st box=200 kg
so weight of 3rd box=250 kg
weight of 2nd box = 300 kg
weight of 4th box=350 kg
weight of 5th box=350.3 kg
and so average weight of 4 lightest boxes=200+250+300+350=1100/4
average of 4 heaviest boxes =350.3+350+300+250=(1250.3)/4
difference in average weights is (1250.3-1100)/4 = 150.3/4 = 37.5 kg - 5 years agoHelpfull: Yes(0) No(0)
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