Let the cost price of 20 mangoes = Rs. N
CP of 1 mango = Rs. N/20
SP of 1 mango = Rs. N/16
Gain = SP - CP = N/16 - N/20 = Rs. N/80
Gain percentage = {(N/80) / (N/20)} x 100 % = 25%
Suppose CP = Rs. 100
? Gain on Rs. 25 = Rs. 2.50
? SP = Rs. 27.50
Loss on Rs. 75 = Rs. 15
? SP = Rs. 60
? Total SP = 60 + 27.50 = Rs. 87.50
? Loss = Rs. 12.50 i.e. 12.5% loss.
SP = Rs. 63000, Profit = 5%
? CP =Rs. (100/105) x 63000 = Rs. 600000
If SP would have been Rs. 500000, then there would have been a loss of 162/3% .
Let the cost price of watch A = Rs. N
Then, cost price of watch B = Rs. (650 - N)
Now, selling price of watch A = (120 x N) / 100 = Rs. 6N/5
Also, selling price of watch B = (650 - N) x (75/100) = Rs. {3 x (650 - N)}/4
As, according to the question, two selling prices are equal.
? 6N/5 = {3 x (650 - N)}/4
? 8N = 5 x (650 - N)
? 8N + 5N = 5 x 650
? 13N = 5 x 650
? N = (5 x 650)/13 = 250
? Cost price of watch A = Rs. 250
and cost price of watch B = (650 - 250) = Rs. 400
SP of first book = Rs. 24, gain = 20%
CP of first book = (100/120) x 24 = Rs. 20
SP of second book = Rs. 24, loss = 20%
CP of second book = (100/80) x 24 = Rs. 30
Total CP = (20 + 30) = 50
Total SP = (24 x 2) = Rs. 48
Loss = (50 - 48) = Rs. 2
So, on the whole, there is a loss of Rs. 2
Overall loss % = (a2/100) % = (202/100) % = 4%
Thus, seller gets 4% loss in the deal.
CP of 12 pencils = Rs. 12
? SP of 10 pencils = Rs.12
? SP of 12 Pencils = (12/10) x 12 = Rs.14.40
? Gain per cent = {(14.40 - 12)/12} x 100 = 20%
Total CP = (3.75/12) x 800 = (375/1200) x 800 = Rs. 250
Total SP = (1/2) x 450 + (2/5) x 350 = 225 + 140 = Rs. 365
Gain = 365 - 250 = Rs. 115
Gain percentage = (115/250) x 100% = 46%
SP. of first hen = (115/100) x 500 = Rs. 575
SP of second hen = (95/100) x 500 = Rs. 475
Total SP = 575 + 475 = Rs. 1050
Total CP = 2 x 500 = Rs. 1000
Gain = SP - CP = (1050 - 1000) = Rs. 50
Gain percentage = (50/1000) x 100 = 5%
Total cost price = 600 + 15% of 600
= 600 + (600 x 15)/100 = ?690
Profit = 25%
SP = CP(100 + Profit/100)
= 690{(100 + 25)/100} = (690 x 125) / 100
= ? 862.50
CP per kg of the mixture = (w1x1 + w2x2 + w3x3) / (w1 + w2 + w3)
= (7 x 72 + 33 x 87 + 35 x 85)/75
= (504 + 2871 + 2975)/75 = 6350/75 = ? 84.66
Profit = 15%
? SP per kg = ? 84.66 + 15% of ? 84.66
= ? 97.37
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