CP = 100/120 = 10/12
(since he purchases 120g and pays Rs. 100, by assumption actual CP of 1 g = Re.1)
SP = 135/90 = 3/2 = 18/12
(since actual MP = 180, actual SP =135, with 25% discount and he sells only 90 g instead of 100 g )
Profit (%) = [{(18/12) - (10/12)} / (10/12)] x 100 = 80%
Let the loss be Rs. x
Then 75 = C.P. - x
and 96 = C.P. + 2x
On subtracting we get,
3x = 21
? x = 7
? C.P. = 75 + x = Rs. 82
? S.P. = (90% of Rs. 480) = Rs. 432
Gain earned on it = 8%
? C.P. = Rs. (100/108) x 432 = Rs. 400
If no discount is allowed, S.P. = Rs. 480
? Required gain% = (80 /400) x 100 % = 20%
Cost price for 45 oranges - 20% = Rs. 40.
? Cost price for 45 oranges = Rs. 50.
When he sells for Rs. 24 his gain is 20%, hence cost price is Rs 20.
Number of oranges = (20 x 45)/50 = 18
Sale after 40% discount = 60% of Rs. 500 = Rs. 300
Price after 36% discount = 64% of Rs. 500 = Rs. 320
Price after next 4% discount = 96% of Rs. 320 = Rs. 307.20
? Required difference in two prices = (307.20 - 300) = Rs. 7.20
Let C.P. = Rs. 100
Then marked price = Rs. 120
S.P. = 90% of Rs. 120 = Rs. 108
? Required gain% = {(108 - 100) / 100} x 100% = 8%
CP of one egg (in first case) = 1/3 = 33.33 paise
CP of one egg (in second case) = 1/6 = 16.66 paise
Average CP of one egg = (33.33 + 16.66) / 2 = 25 paise
SP of one egg = 200/9 = 22.22 paise (Re. 1 = 100 paise)
Profit loss = {(25 - 22.22) / 25} x 100 ( loss% = {(CP - SP) / CP} x 100)
= 11.11% loss
Let the CP of one articles be Rs. 1
Then, the SP be Rs. 1.25
Again the new SP be (1.25) x 1.2 = 1.5
Now, if he sell initially 100 articles, then
CP = 100 x 1 = Rs. 100
SP = 100 x 1.25 = Rs. 125
New SP = 75 x 1.5 = 112.5 (since 25% articles were abducted)
Therefore, new profit percentage = 12.5%
Let the CP of each motorcycle be Rs.N then
(2 x 1.15 x N) + 4800 = 2 x 1.2 x N
? 0.1 x N = 4800
? N = 48000
Let CP Rs. x
Then, (110x / 100) - (75x / 100) = 21
? 35x = 2100
? x = Rs. 60
Let CP of first article = Rs. x
CP of second article = Rs. (600 - x)
SP of first article = Rs. (122x / 100)
SP of second article = Rs. [92(600 - x)/100]
? {122x/100} + {92(600 - x)/100} = 600
? 122x - 92x = 60000 - 92 x 600
? 30x = 4800
? x = 160
? CP of the article sold at a loss = (600 - x) = Rs 440
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