Let cost price of article is CP.
According to the formula,
CP = [SP/(100 - Loss %)] x 100
CP = [(100 x 9549)/(100 - 55)]
= ? 21220
CP = 100/70 = x 6384 = ? 9120
To gain 30%, SP = 130% of 9120
SP = (130/100) x 9120 = ? 11856
CP of 1 toffee for 1st rate = 1/6
CP of 1 toffee for 2nd rate = 1/7
CP of 2 toffee after mixing = 1/6 + 1/7 = 13/42
CP of 1 toffee after mixing = 13/84
SP of 1 toffee after mixing = 1/6
Gain = 1/6 - 13/84 = 1/84
Gain% = [(1/84) / (13/84)] x 100% = 100/13% = 79/13%
CP1 = ? 4000
SP1 = 4000 x 135/100 = ? 5400 CP2
SP2 = 5400 x 80/100 = ? 4320
CP1 < SP2
Hence, profit earned here.
? Required gain = ( SP2 - CP1)
= 4320 - 4000 = ? 320
CP1 =? 7500
? SP1 = (7500 x 124)/100 = ? 9300 = CP2
SP2 = (9300 x 80)/100= ? 7440
? CP1 > SP1
Hence, loss is incurred in this transaction
? Require loss = (CP1 - SP2)
= 7500 - 7440
= ? 60
Given, gain% = 20
Different between SP and CP = 240
Now, gain% = [(SP - CP)/ CP] x 100
? 20 = [240/CP] x 100
? CP = 240 x 5
? CP = 1200
? SP = 1200 + 240 [? SP - CP = 240]
= 1440
Let CP = 5N and SP = 3N
Loss = (CP- SP) = (5N - 3N) = 2N
Loss % = (2N / 5N) x 100 %
= 40%
SP of 20 eggs = ? 1 and gain = 30%
CP of 20 eggs = (1 x 100)/130 = ? 10/13
Now, ? 10/13 yields 20 eggs.
? ? 1 will yield (20 x 13)/10 = 26 eggs
Clearly, 26 eggs were bought for ? 1.
CP of 6 toffees = ? 1,
SP of 6 toffees = 150% of 1 = 150/100 = 3/2
? For ? 3/2, the number of toffees sold = 6
? For ? 1, the number of toffees sold = 6 x (2/3) = 4
Let cost price = ? N
According to the question,
N x [(100 + 40)/100] = 700,
? N = (700 x 100)/140 = 500
? New selling price = 500 x (100 + 10)/100
= 5 x 110 = 550
= ? 550
SP of cellphone = ? 2400
? CP of cellphone = 2400 x [100/(100 + 25)] = ? 1920
? Required percentage profit = [(2040 - 1920)/1920] x 100
= 6.25%
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