Let the marked price = ? N
The discount equivalent to successive discounts 20 % and 10 % = { r1 + r2 - (r1 r2)/100 } %
Where, r1 = 20 and r2 = 10
Then, 30 - 2 = 28 %
According to the question,
{(100 - 28)N}/100 - {(100 - 30)N}/100 = 72
? (72N - 70N)/100 = 72
? N = (72 x 100)/2 = ? 3600
Let the CP of book = ? P
Then, SP of book = {(100 + 12) x P}/100 = 112P/100
Now, the printed price = ? Q
Then, after discount,
the SP = (100 - 10)Q/100 = 90Q/100
Since, both SP are same.
Then, 112P/100 = 90Q/100
? P/Q = 45/56
? 45 : 56
? Marked price of an article = ? 50
? SP of an article = 50 x (100 - 20)/100
= (50 x 80)/100
= ? 40
Hence, cost price of an article = (40 x 100)/(100 + 25)
= (40 x 100)/125
= ? 32
Let CP of the goods = ? N
? Marked price of the goods = N x {(100 + 30)/100} = ? 13N/10
Now, SP of the goods = (13N/10) x (100 - 15/100)
= (13N/10) x (85/100) = ? 221N/200
? Profit = {(221 x N)/200} - N = ? 21N/200
Hence, profit per cent = [{21N/200} /N] x 100 % = 2100/200 = 10.5 %
Let MP of an article = ? R
? SP of an article = ? 3R/4
and CP of an article
= (3R/4) x {100/(100 + 25)}
= 3R/4 x (100/125)
= ? 3R/5
Required ratio = R : 3R/5 = 5 : 3
Let MP of an article = ? N
? SP of an article = N x (100 - 40)/100 = ? 3N / 5
CP of an article = {(3N/5) x 100}/{100 - 30}
= (3N/5) x (100/70) = ? 6N/7.
? Profit when sold at MP = N - (6N/7) = ? N/7
Hence, profit per cent = [(N/7) / (6N/7)] x 100% = 50/3%
= 162/3%
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