Given that, a = 20 and b = 15
According to the formula,
Profit %= [(a - b) / b] x 100 %
= (5/15) x 100% = 100/3 %
= 331/3%
Given that, a = 4%, b = 28 g and c = 32 g
Required profit = [(100 - a) x (c/b) -100] %
=[(100 - 4) x (32/28) - 100] %
= [96 x (32/28) - 100]%
= [(96 x 8)/7 - 100]%
= (768 - 700)/7 %
= 68/7 %
= 95/7 % gain
+ ve sign shows that profit is earned here.
According to the formula,
Gain% = [Error / (True value - Error)] x 100%
= [80/(100 - 80)] x 100%
= (80/920) x 100%
= 816/23 %
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
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%
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.
Required loss = (a/10)2%
= (20/10)2% = 4%
Thus, seller gets 4% loss in the deal.
Let CP of the article be ? N,
Then 106% of N - 94% of N = 6
? 12% of N = 6
? N = (6 x 100)/12 = ? 50
Here, a = 20%
? Total loss percentage = a2/100 %
= (20 x 20)/100
= 4%
Let A purchased the watch for ? N
A x [(1+ r1) /100] x [(1+ r2) /100] = CP of article given by C
? N x (140/100) x (80/100) = 432
? N = (432 x 100)/(14 x 8) = ? 385.71
Let the CP = N
According to the question, (110N/100) - (80N/100) = 12
? (11N/10) - (4N/5) = 12
? 11N - 8N = 120
? N = 120/3 = 40
? CP = ? 40
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