Total marks obtained = [45 + 47 + 49 + 45 + 32] = 218
Maximum marks = 5 x 50 = 250
? overall percentage = (218/250) x 100% = 87.2%
Let the fraction be P/Q.
Then, (P + 2P)/ Q + 3/2Q = 9/35
? (3P/5Q) x 2 = 9/35
? P/Q = (9/35) x (5/6) = 3/14
Here, x = 25, y = 20 and z = 5
According to the formula,
Required percentage = [100 - (25 + 20 - 5)]%
= [100 - (45 - 5)]% = (100 - 40)% = 60%
Given that, a = 15% and b = 10%
According to the formula,
Required profit = a + b + (ab/100) %
= 15 + 10 + (15 x 10)/100 %
= (25 + 1.5)%
= 26.5%
= 26.5%
Increase in percentage of longer pipe compared to shorter pipe
= [(70 - 30)/30] x 100%
= (40/30) x 100%
= 400/3 %
Let the number be N.
According to the question,
(78 - 59)% of N = 323
? (19 x N)/100 = 323
? N = (323 x 100)/19 = 1700
? 62% of 1700 = (62/100) x 1700 = 1054
Let usual speed and usual time taken by the jogger are D and T, respectively.
Let his new speed be D'. Then,
DT = (3D'/4)T
? D = 3D'/4
? D' = 4D/3
Thus, he has to increased his speed by
[(4D/3 - D) / D] x 100% .
= 331/3 %
Let a student was awarded in exam = N marks
According to the question,
After re-evaluation his score
? N - N x (40/100) = 96
? N - 2N/5 = 96
? 5N - 2N/5 = 96
? 3N/5 = 96
? N = (5 x 96)/3 = 5 x 32
? N = 160
So, a student was awarded by 160 marks in examination
? Reduced marks after re-evaluation = 160 - 96 = 64
Gold in 50g of alloy = (80 x 50)/100 = 40 g
Let W gram gold must be added.
Now, according to the question,
(40 + W) / (50 + W) = 90/100
? 100( 40 + W) = 90 (50 + W)
? 10(40 + W) = 9 (50 + W)
? 400 + 10W = 450 + 9W
? W = 450 - 400
? W = 50g
Thus, 50 g of gold must be added to make it 90%
Let maximum marks be N .
According to the question,
75N/100 - 70 = 112 - 32
? 75N/100 = 80 + 70
? 75N/100 = 150
? N = 200
Passing marks = 112 - 32 = 80
(as Rajesh got 112 marks which is 32 more than the passing marks)
? Minimum passing marks percentage
= (80/200) x 100%
= 40%
Let the selling price of goods by shyam be = ? 100
? Selling price of goods by Ram = ? 75
Now, according to the question.
125% of selling price of goods by Hari = 75
? Selling price of goods by Hari = (100/125) x 75 = ? 60
So, Hari's goods are cheaper than shyam's good by
(40/100) x 100% = 40%
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