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
In such question we adopt the Required gain %
= [(100 + common gain%)2 / 100 - 100] %
= { (108)2/100 - 100 } % = 16.64%
Let the C.P. be Rs. x
Then 2(69 - x) / 100 = (78 - x) / 100
? 138 - 2x = 78 - x
? x = 60
? C.P. = Rs. 60
Total C.P.of 200 kg of sugar = Rs. (80 x 6.75 + 120 x 8)
= Rs. (500 + 960)
= Rs. 1460
C.P. of 1 kg = Rs. 1460 / 200 = Rs. 7.30
Gain required = 20%
? S.P. of 1 kg = (120% of Rs. 7.30)
= Rs. (120/100) x 7.30
= Rs. 8.76 per kg
Price after 1 st discount = 80% of Rs. 160 = Rs. 128
Price after 2nd discount = 90% of Rs. 128 = Rs. 115.20
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%
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
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%
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