Chain Rule - Quiz

Solution

originally let there be x people

less people,more days ( indirect proportional)

(x-9):x::24:32

(x-9)×32=x×24

8x=288

x=36

Hence 36 people were supposed to be working originally

Solution

Let the required number of days be x

more students,less days(indirect proportional)

more pencils,more days(direct proportional)

students 15:5::9:x

pencils 18:66::9:x

(15×18×x)=(5×66×9)

x=5×66×9/15×18

x=11

Hence the required number of days is 11

solution:

let the required the number of days be x

less person,more days( indirect proportional)

less hours ,more days(indirect proportional)

more works more days( direct proportional)

persons 14:15::21:x

hours per day 6:8::21:x

work y:3/2y::21:x 14×6yx=15×8×3/2y×21

x=15×8×3y×21/2×14×6y

x=45

Output: Chaminda vaas holds the record Of best bowling performance in ODI's.He Took 8for 19 against Zimbabwe in December 2001.

solution:

5 cm on the map represent 1450km.

1cm on the map represent (1450/5)km=290km

Hence the scale is 1cm :290km i.e;1:29×10⁶cm

Solution

work done=5/8 . Balance work=1-5/8)=3/8

less work .less days(direct proportional)

let the required number of days be x

then,5/8:3/8::10:x

5/8x=3/8×10

x=3/8×10×8/5

x=6

Solution

let the required number of men be x.

more days ,less men(Indirect proportion)

20:16::30:x

20x=16×30

x=16×30/20

x=24

let the required number of revolution made by larger wheel be x.

Then,more cost,less revolutions. (Indirect proportion)

14:6::21:x

14x=6×21

x=6×21/14

x=9

Solution

Let the required cost be x Then,

more packets,more cost (direct proportion.) More weight ,more cost (direct proportion)

packets 16:27::28:x

weight 900:1000::28:x

16×900x=27×1000×28

x=27×1000×28/16×900=105/2=52.50

Solution

Let the number of mats be x.Then, more weavers more mats (direct proportion).More days,more mats(direct proportion)

weavers 4:8::4:x

days 4:8::4:x

4×4x=8×8×4

x=8×8×4/4×4

x=16