Sumit purchased an item for ? 4000 and sold it at the gain% of 35%. From that amount, he purchased another item and sold it at the loss of 20%. What is his over all gain/loss?

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 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 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

Let cost price of article is CP.
According to the formula,
CP = [SP/(100 - Loss %)] x 100
CP = [(100 x 9549)/(100 - 55)]
= ? 21220

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.