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%
Price after 1 st discount = 80% of Rs. 160 = Rs. 128
Price after 2nd discount = 90% of Rs. 128 = Rs. 115.20
Let the price of be 4x, 5x and 7x rupees.
Then, 7x - 4x = Rs. 60000
? x = 20000
? Required modest price = 5x = Rs. 100000
Let original price = Rs. 100
Price after first discount = Rs. 90
Price after second discount = Rs. (80 x 90)/100 = Rs. 72
Price after third discount = Rs. (60 x 72)/100 = Rs. 43.20
? Single equivalent discount = (100 - 43.20) = 56.8%
Let the marked price be Rs. N
? C.P. = (N - 25% of N) = 3N / 4
? S.P. = (3N / 4 + 10% of 3N / 4) = 33N / 40
But, 33N / 40 = 660
? N = 800
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
? 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%
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
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%
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
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