Required profit = (100 + 65) x (100/120) x (100/125) - 100
= 110 - 100 = 10%
Let required percentage profit = N%
According to the question,
10% of (80 x 50) = 5% of (20 x 50) + N% of (60 x 50)
? (80 x 50 x 10)/100 = [(20 x 50 x 5)/100] + (60 x 50 x N)/100
? 80 = 10 + 6N
? N = 70/6 = 112/3%
Let CP = N
Then, according to the question,
(120/100) x (N - 475) = (530 - N)
? (6/5) x (N - 475) = (530 - N)
? (6N - 2850) = (2650 - 5N)
? 11N = 5500
? N = ? 500
? Required SP = (500 x 120)/100 = ? 600
Given, selling price of an umbrella = ? 30
Profit percentage = 20%
? Cost price of an umbrella = (30 x 100)/120 = ? 25
During the clearance sale, selling price of an umbrella = (30 x 90)/100 = ? 27
? Required profit percentage = [(27 - 25)/25] x 100% = 8%
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
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
Here, a = 10% , b = 20% , r = 2000
According to the formula
CP of watch = [r/(b - a)] x 100 = [2000/(20 - 10)] x 100
= (2000 x 100)/10
= ? 20000
Loss % = (a/10)2%
= (10/10)2%
= 1%
Cost price = (selling price x 100)/(100 - loss%)
= (136 x 100)/(100 - 15)
= (136 x 100)/85
= ? 160
Selling price (N) = 160 x (100 + 15)/100 = (160 x 115)/100
= ? 184
? Option (b) is correct because
[180 < N < 190].
Here, A = 2/5, R = 15%
According to the formula
Gain % = AR/(1 - A)%
= [(2/5) x 15]/[1 - (2/5)]%
= (6 x 5)/3%
= 10%
Given that a = 10% , b = 16g and c = 18g
= [(100 - a)c /b - 100)]%
= [(100 - 10) x 18/16 - 100]%
= [90 x 18/16 - 100]%
= [90 x 9/8 - 100]%
= 810/8 - 100 %
= (810 - 800) / 8 %
= 10/8 % = 5/4 %
=11/4% gain
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