Percentage

Let marks scored by one candidate be 'X'.
And the marks scored by other candidate = X + 24.
Accoroding to the question,
(X + 24) = 65% of (X + X + 24)
(X + 24) = (65/100)(X + X + 24)
(X + 24) = (13/20)(X + X + 24)
20X + 480 = 13X + 13X + 312
480 - 312 = 26X - 20X
168 = 6X
X = 28
∴ marks scored by other candidate = X + 24
= 28 + 24
= 52.
So, the marks are 52, 28.

Let Cost of fresh, oranges = 100.
packaging cost = 20. Total cost = 100 + 20 = 120
After increasing in cost of fresh mangoes 30%,
Cost of fresh mangoes = 130
And cost of packing go down by 50 % so,
Cost of packing = 10.
Total cost = 130 + 10 = 140.
Increased cost = 140 – 120 = 20.
% increased = (20×100) /120 = 16.66%.

Given, Total No. of pages in book P = 120
Total No. of pages in book Q = 10% more of Total No. of pages in book P
= 10% of 120 + 120
= 132
Total No. of pages in book R = 10% less of Total No. of pages in book P
= 120 - 10% of 120
= 108
No. of pages read from book P = 5% of Total No. of pages in book P
= (5/100) × 120
= 6
No. of pages read from book Q = 10% of 132 = 13.2
No. of pages read from book R = 15% of 108 = 16.2
Total No. of pages read out from books P, Q, and R = 6 + 13.2 + 16.2 = 35.4
Now, Total No. of pages in books P, Q, and R earlier = 120 + 132 + 108 = 360
Required Percentage = (Total No. of pages read out/Total No. of pages in books P, Q, and R earlier) × 100
= (35.4/360) × 100
= 9.83%
≅ 10%

Present value of the machine is ₹ 50,000
Depreciated value after one year = ₹ 50,000 - {10% of 50,000}
=₹ 50,000 - 5,000
= ₹ 45,000
Decrease in value after 2 year = 10% of 45,000 = ₹ 4,500
Depreciated value after two years =₹ 45,000 - ₹ 4,500
= ₹40,500

Families which do not have a duck or a sheep
= 100 - (45 + 15 + 15)
= 25%
Required number = 96×25/100 = 24

We know Asha = Rani - 25
Rani = Barsha + 45
Manisha = 75 marks
Manisha = Barsha + 10
Aravind = Full mark - 50
Manisha = Barsha + 10
Barsha = 75 - 10 = 65 marks
Rani = Barsha + 45 = 65 + 45 = 110 marks
Asha = Rani - 25 = 110 - 25 = 85 marks
If Aravind got 34 marks more than Asha,
Aravind = Asha + 34 = 85 + 34 = 119 marks
Aravind = Full mark - 50
Full mark = 119 + 50 = 169 marks
∴ required percentage = (119/169)×100 = 70.4 ≅70.

The ratio of total number of undergraduate employees to the total number of graduate employees is 13 : 23
Undergraduate : Graduate =13 : 23
30 % of total undergraduate employees = 351 (30/100)×undergraduate = 351
So, no.of undergraduate employee = 351×100/30 = 1170
13x = 1170
x = 1170/13 = 90
Total no.of graduate employees is = 23x = 23×90 = 2070

Details

Let, there are 100 days in each semester then,
Gargi's total attendance for four semesters = 4×(80% of 100)
= 4×80 = 320 days
To know the minimum attendance in 3rd semester, we must assume 100% attendance in 4th semester.
Thus, minimum attendance required in 3rd semester
= 320 - (60 + 70 + 100) days = 90 days
= i.e. 90%
So, the minimum attendance required in third semester = 90%