let SP = N, then CP = 2N/3
Gain = (N - 2N/3) = N/3
&ther4; Gain % = [(N/3) / (2N/3)] x 100%
= (N/3) x (3/2N) x 100% = 50%
Let CP = N, then gain = N/6
According to the question,
N + N/6 = 322
? 7N/6 = 322
? N = 322 x 6/7 = ? 276
Let CP of the article be ? N
Then, SP = 110% of x = 1.1N
If SP be double i.e., 2.2N, then
Profit per cent= [(2.2N - N)/ N] x 100% = 120%
CP of 1 orange for 1st rate = ? 1/4
CP of 1 orange for 2nd rate ? 1/5
CP of 2 orange after mixing = 1/4 + 1/5 = ? 9/20.
CP of 1 orange after mixing ? 9/20 X 2 = ? 9/40
SP Of 1 orange after mixing = ? 1/4
? Gain = 1/4 - 9/40 = ? 1/40
? Gain = (1/40 x 40/9 x 100)% = 100/9%
= 111/9%
12 egg cost ? 30
Then cost price of 1 eggs = 35 x 12 = #8377; 2.5
Cost price of 100 eggs = 25 x 100 = ? 250
Now, let the SP of 100 eggs ? N.
Then [(SP - CP) / CP] x 100= profit % [(N - 250)/250] x 100 = 12
? (N - 250)/(2/5) =12
? N- 250 = (12 x 5)/2= 30
N = 250 + 30 = ? 280
Total CP = 2 x 1200 = ? 2400
SP of 5% loss = (95/100) x 1200 = ? 1140
SP at 10% gain = (110/100) x 1200 = ? 1320
Total SP = 1140 +1320 = ? 2460
? Gain = 2460 - 2400 = ? 60
Gain % = (60/2400) x 100% = 2.5%
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
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
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
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%
CP = 100/70 = x 6384 = ? 9120
To gain 30%, SP = 130% of 9120
SP = (130/100) x 9120 = ? 11856
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