Let cost price = ? 1000
? Actual cost price = ? 920
Selling price = (1000 x 115)/100 = ?1150
? Actual profit percentage = (1150 - 920)/(920 x 100) = 25%
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
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%
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].
Loss % = (a/10)2%
= (10/10)2%
= 1%
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
Let the marked weight = 1 kg = 1000g
Real weight = 70% of 1000 = 700g
Let CP of 1g = ? 1
? CP of 700g = ? 700
CP of 1000g = ? 1000
SP = 110% of 1000
= 110/100 x 1000 = ? 1100
Gain = 1100 - 700 = ? 400
? Gain % = (400/700) x 100%
= 571/7%
CP of 700 oranges = (500/100) x 700 = ? 3500
Total CP = 3500 + 3500 = 7000
And total number of oranges purchased = 700 + 500 = 1200
Total SP = (84/12 )x 1200 = ? 8400
? Profit percent = [(8400 - 7000)/7000]x100% = 20%
Let the C.P. be Rs. 100
Then, Marked price = Rs. 130
? S.P. = (933/4 % of Rs. 130)
= Rs. (375/4 x 100 x 130)
= Rs. 975/8
= Rs. 1217/8
? Required gain% = 217/8 %
In beginning
Cost Price (CP) = Rs. 100
Profit % = 20
Selling Price (SP) = 120
When profit increases from 20% to 25%
Cost Price (CP) = y
Profit % = 25
Selling Price (SP) after 25% increase = 120 + 25% = Rs. 150
From question
y + 25 % profit = 150
1.25 y = 150
so y = 120
% change in cost price = [ (120 - 100) / 100 ] x 100 = 20%
Cost price (CP) = 500
Selling Price (SP) = 576
Markup price (MP) = 900
Again SP = MP [( 1 - r/100)2] [r - rate of discount in %]
? 576 = 900 (1 - r/100)2
? 24/30 = (1 - r/100)
? r = 20%
Again, new SP = MP (1 + r/100)2
= 900 (1 + 20/100)2
= 1296
New, profit percentage = [(SP - CP)/CP] X 100
= [( 1296 - 500 ) / 500 ] x 100 = 159.2%
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