The ratio of the number of persons standing ahead of Pinky to the number of persons standing behind her in the queue is 3 : 5.
Let’s assume that there are 3x number of people ahead of Pinky, then the number of people behind her will be 5x.
The total number of people in the queue is 8x + 1.
Since the total number of people in the queue is less than 300.
8x + 1 < 300
x≤37
To find the maximum number of people ahead of Pinky, we take the maximum possible value of x, which is 37.
Therefore, the maximum number of people ahead of Pinky is 3 * 37 = 111

The ratio of the number of males to females is 5 : 4
The ratio of the number of literate males to literate females is 2 : 3.
The ratio of the number of illiterate males to illiterate females is 4 : 3.
Let,
The number of males to females is 5x, 4x
The number of literate males to literate females is 2y, 3y.
The number of illiterate males to illiterate females is 4z, 3z.

We know that the ratio of the number of males to females is 5 : 4
2y+4z/3y+3z=5/4
4(2y + 4z) = 5(3y + 3z)
8y + 16z = 15y + 15z
z = 7y

3600 males in the village are literate.
2y = 3600
y = 1800
Total number of females = 24y = 24(1800) = 43,200

Let the fixed cost be ₹ F and the variable cost be ₹ V.
Since the profit per border is ₹200 when there are 50 borders
The expenses of the Hostel is,
F + 50(V) = 50 (1600 – 200)
F + 50(V) = 50 (1400) — (1)
Since the profit per border is ₹250 when there are 75 borders
The expenses of the Hostel is,
F + 75(V) = 75 (1600 – 250)
F + 75(V) = 75 (1350) — (2)
(2) – (1)
25(V) = 75(1350) – 50(1400)
25(V) = 25( 3(1350) – 2(1400) )
V = 3(1350) – 2(1400)
V = 4050 – 2800
V = 1250
F + 75(V) = 75 (1350)
F + 75(1250) = 75 (1350)
F = 75(100) = 7500
The Expenditure for 80 borders will be,
= F + 80(V)
= 7500 + 80(1250)
The revenue collected from 80 students is,
= 80(1600)
Hence, the profit is,
= 80(1600) – (7500 + 80(1250))
= 80(1600 – 1250) – 7500
= 80(350) – 7500
= 100(8×35 – 75)
= 20500
Hence the total profit when there are 80 borders is ₹20500.

Let’s consider the one-day earnings of Neeta, Geeta, Sita to be n, g, s respectively.
The amount Neeta and Geeta together earn in a day equals what Sita alone earns in 6 days
n + g = 6(s) → eq(1)
The amount Sita and Neeta together earn in a day equals what Geeta alone earns in 2 days
s + n = 2(g) → eq(2)
By solving eq (1) & (2) you will get the ratio n : g : s = 11 : 7 : 3
The ratio of the daily earnings of the one who earns the most to that of the one who earns the least is 11:3

A : S : M
3 : 2
   4 : 5
6 : 4 : 5
Given difference 6k – 4k = 2k = 400
k = 800

40 litres is split in ratio 2:3
So dye = 16 l and water = 24 l
Now proportion is 2:5
Already in the ratios 2:3
2 : 5
Now, 16 l of dye : 40 l of water
16 l of water is added
1414th is removed from the proportion
12 l of dye : 30 l of water
Now how many dye has to be added to make 2 : 3
2 : 3
12 l of dye : 30 l of water
Multiplication factor is 10 (3 × 10 = 30)
2 × 10 = 20 l of dye in total,
So 8 l of dye has to be added

It is given that the scores of Anjali, Mohan and Rama after review were in the ratio 11: 10: 3
So, let their values be 11x, 10x and 3x respectively.
It is known that their score increased by 6 after review.
So, scores before review = 11x-6, 10x-6 and 3x-6 respectively
Now, from the data given
(11x – 6 + 10x – 6) x = 3x – 6
21x – 12 = 36x – 72
60 = 15x
x = 4
So, marks after revision are 44, 40 and 12 respectively.
Therefore, Anjali’s score exceeded Rama’s by 44 – 12 = 32 marks

The salaries of Ramesh, Ganesh and Rajesh were in the ratio 6: 5: 7 in 2010
In 2015, their salaries are in the ratio 3: 4: 3 respectively.
It is also given that; Ramesh’s salary increases by 25% during 2010 – 2015
So, Ramesh’s salary in 2015 = x 6 = 7.5
Salary in 2015 = 3: 4: 3 (Given)
Salary in 2015 = 7.5: x: y (From data)
3 in order to jump to 7.5, must be multiplied by 2.5
So, multiplying 2.5 to all the other values,
Salary in 2015 = 7.5: 10: 7.5
Percentage increase in Rajesh’s salary during 2010 – 2015 = Percentage increase from 7 to 7.5 = x 100, which is close to 7%

We know, Interest income Amount invested
And Interest income Interest rate
Therefore, Interest income must be in the ratio of the product of their Amount invested and Interest rate.
So, Ratios of Interest incomes of Amala, Bina and Gouri = 18: 20: 20
Bina’s Interest income exceeds Amala by 250 Rs.
So, 20 x – 18 x = 250
2x = 250
So, Total Interest income = 250 x (9 + 10 + 10) = 7250 Rs.
Total Interest Income = Rs. 7250