Cost price of 11 Articles = 10
Cost price of 1 Article = 10/11
and SP of 10 Articles = 11
? SP of 1 Article = 11/10
Now, gain = (11/10) - (10//11)
= (121 - 100)/110 = 21/110
And gain% = [(21/110) / (10/11)] x 100
= (21 x 11)/11 = 21
Let the number of pens bought = 5 x 4 = 20
Then, CP = (4/5) x 20 = ? 16
and SP = (5/4) x 20 = ? 25
? Gain = 25 - 16 = ? 9
Gain % = (9/16) x 100% = 56.25%
Let quantities of two types of tea costing ? 18 per kg and ? 20 per kg be 5W kg and 3W kg. respectively.
Then, CP of tea = (18 x 5W) + (20 x 3W)
= 90W + 60W = 150W
SP of tea = 21 x 8W = 168W
Profit percent = [(168W - 150W) / 150W] x 100%
= (18/150) x 100% = 12%
Total cost price = ? (120 x 100) = ? 12000
Total expenditure = 480 + (1/2) x 120 + 60 = ? 600
Total cost price = 12000 + 600 = ? 126000
Gain = 40%
SP of 120 reams = 12600 x (140/100) = ? 17640
? SP per ream = 17640/120 = ? 147
Let the cost price be ? N.
SP of 1 orange = ? 30/32 = ? 15/16
According to the question, 75N/100 = 15/16
? N = [(15 x 100)/75] x 16 = ? 5/4
SP of 1 orange with 20% profit = ? [(5/4) x 120]/100 = ? 3/2
? In ? 3/2, the number of oranges sold = 1
? in ? 24, the number of oranges sold = (2/3) x 24 = 16
SP of 1 lemon = ? 14/5
Let CP of 1 lemon = N
According to the question, (N x 140)/100 = 14/5
? N = ? 2
? CP for 12 lemons = 12 x 2 = 24
(SP of 100 pens) - (CP of 100 pens) = SP of 40 pens
? SP of 60 pens = CP of 100 pens.
Let CP of each pen = ? 1
Then, CP of 60 pens = ? 60
SP of 60 pens = ? 100
Gain = 100 - 60 = ? 40
? Gain % = (40/60) x 100 % = 66.67%
Here, a = 16, b = 12
According to the formula,
Required gain percent = [(a - b)/b] x 100
= [(16 - 12)/12] x 100
= (4/12) x 100
= 331/3% (gain)
Here, a = 10% and b = 20%
According to the formula,
Required answer= [b ± a/(100 - b)] x 100 %
= (20 - 10)/(100 - 20 ) x 100%
= (10/80) x 100% = 12.5 % gain
+ ve sign show that profit is earned here.
Let the market weight = 1 kg = 1000 g
Real weight = 80% of 1000 = 800 g
Let the CP of 1 g = ? 1
? CP of 800 g = ? 800,
CP of 1000 g = ? 1000
SP = 120% of 1000 = (120/100) x 1000 = ? 1200
Gain = 1200 - 800 = ? 400
? Gain % = (400/800) x 100% = 50%
Given that, a = 10% and b = 30%
According to the formula,
Required per cent = [(b - a)/(100 - b)] x 100
= [(30 - 10)/(100 - 30)] x 100
= (20/70) x 100 = 200/7%
= 284/7% profit
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