le the required weight be x kg then,

less length less weight (direct proportional)

11.25:6::42.75:x

11.25×x=6×42.75

x=6×42.75/11.25

x=22.8

Solution

since each maid would work with one mop,so we shall consider 1 maid and q mop as 1 unit. Let the required time be x hours.

less maids and mops ,more time,less time (indirect proportion)

less floors,less time(direct proportion)

maida and mops 3:7::7:x

floors 7:3::7:x

3×7x=7×3×7

x=7×3×7/3×7

x=7

Solution

Let the required quantity be x kg.Then

more days ,more cost ( direct proportion)

7:58::105:x

7x=58×105

x=58×105/7=870 kg

Hence the canteen will require 870kg of wheat for 58 days

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

total number of days=(30+31+30) =91 days

let the number of bananas be x.

more days,more bananas (direct proportional)

7:91::651:x

7x=91×651

x=91×651/7

x=8463

solution:

e tablespoon=1 tablespoon

3/2teaspoon=½table spoon

let the number of tablespoon required be x.

more people,more salt (direct proportional)

4:18::½:x

4x=18×½=9

x=9/4=2.25

5.5 dozen pens=(5.5×12)pens=66 pens .Let the cost of 16 pens be x

less pens,less cost(direct proportional)

66:16::1287:x

66x=16×1287

x=16×1287/66=312

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

let the actual distance be x km.then,

more distance,more actual distance (direct proportional)

0.6:80.5::6.6:x

0.6x=80.5×6.6

x=80.5×6.6/0.6

x=885.5

le the dimensions of the shorter side be x

more is the longer side,more is the shorter side (direct proportion)

5/2:4::15/8:x

5/2x=4×15/8

x=15/2×2/5

x=3