If the price of 357 apples is Rs. 1517.25, what will be the approximate price of 49 dozens of such apples?

As per given question,
In 1 minute, 6 identical machines can produce a total of 270 bottles.
In 1 minute, 1 identical machines can produce a total of 270 / 6 bottles.
In 1 minute, 10 identical machines can produce a total of 270 x 10 / 6 bottles.
In 4 minute, 10 identical machines can produce a total of 270 x 10 x 4 / 6 bottles.
In 4 minute, 10 identical machines can produce a total of 45 x 10 x 4 bottles.
In 4 minute, 10 identical machines can produce a total of 1800 bottles.

16 men working 7 hours day can plough a field in 48 days.
1 men working 7 hours day can plough a field in 48 x 16 days.
1 men working 1 hours day can plough a field in 48 x 16 x 7 days.
14 men working 1 hours day can plough a field in 48 x 16 x 7 / 14 days.
14 men working 12 hours day can plough a field in 48 x 16 x 7 / 14 x 12 days.
14 men working 12 hours day can plough a field in 48 x 16 / 2 x 12 days.
14 men working 12 hours day can plough a field in 48 x 4 / 2 x 3 days.
14 men working 12 hours day can plough a field in 48 x 2 / 3 days.
14 men working 12 hours day can plough a field in 16 x 2 = 32 days.

7 spiders make 7 webs in 7 days.
? 1 spiders make 7 webs in 7 x 7 days.
? 1 spiders make 1 webs in 7 x 7 / 7 days.
? 1 spiders make 1 webs in 7 days.

Work done = 1/3
Remaining work = (1 - 1/3) = 2/3
Let the number of additional men be N. (Direct proportion)
More days, Less men (Indirect proportion)
Work 1/3 : 2/3
Days 50 : 40
? 1/3 x 50 x (40 + N) = 2/3 x 40 x 40
? 5 x (40 + N) = 2 x 40 x 4
? 200 + 5N = 320
? 5N = 320 - 200 = 120
? N = 120/5 = 24
? Required number of men = 24

Work done = 1/3
Remaining work = 1 - (1/3) = 2/3
Let the number of more men to be employed be N.
More work, More men (Direct proportion)
More days, Less men (Indirect proportion)
Work 1/3 : 2/3
Days 25 : 20
? 1/3 x 25 x (20 + N) = 2/3 x 20 x 20
? (20 + N) = 800/25 = 32
? N = 32 - 20 = 12

0.6 cm represents 6.6 km in a scale.
1 cm represents 6.6 / 0.6 km in a scale.
80.5 cm represents 6.6 x 80.5 / 0.6 km in a scale.
80.5 cm represents 11 x 80.5 km in a scale.
80.5 cm represents 885.5 km in a scale.

As per given question,
8 persons can build a wall 140 meter long in 42 days.
1 persons can build a wall 140 meter long in 42 x 8 days.
1 persons can build a wall 1 meter long in 42 x 8 / 140 days.
30 persons can build a wall 1 meter long in 42 x 8 / 30 x 140 days.
30 persons can build a wall 100 meter long in 42 x 8 x 100 / 30 x 140 days.
30 persons can build a wall 100 meter long in 42 x 8 / 3 x 14 days.
30 persons can build a wall 100 meter long in 42 x 8 / 42 days.
30 persons can build a wall 100 meter long in 8 days.

Given in the question,
Let y be the persons there originally .
Work done by y persons can finish = 100 days
If there were 10 persons less, it would take more days finish the work in 10 days
i.e. ( y - 10 ) = 110
According to question ,
y × 100 = ( y - 10 ) × 110
? 100y = 110y - 1100 ? 10y = 1100 ? y = 110
Therefore , 110 persons were there originally .

Let the remaining food will last for D days.
500 men had provisions for (27 ? 3) = 24 days.
( 500 + 300 ) men had provisions for D days.
More men, Less days ( Indirect Proportion )
we can write as :-
? 800 : 500 :: 24 : x ? (800 × D ) =( 500 × 24 )
? ( 500 × 24 ) /800 =15
Therefore , 15 days is correct answer .

Suppose the food will last for D days at same rate .
250 men had provisions for 40 days.
( 250 - 50 ) men had provisions for D days.
Less men, More days ( Indirect Proportion )
we can write as :-
? 200 : 250 :: 40 : D ? (200 × D ) =( 250 × 40 )
? ( 250 × 40 ) /200 = 50
Therefore , 50 days is required answer .