? C.P. of 120 reams = Rs. (120 x 80 + 280 + 72 + 120 x 0.40)
= 9600 + 280 + 72 + 48 = Rs. 10000
? C.P. of 1 ream = 10000/120 = Rs. 250/3.
? S.P. of 1 ream = Rs. (108/100 x 250/3) = Rs. 90
S.P. = 90% of (3/4 of Rs. 400) + 110% of (1/4 of Rs. 400)
= Rs. (90/100 x 3/4 x 400) + Rs. (110/100 x 1/4 x 400)
= Rs. (270 + 110) = Rs. 380
? loss% = (20/400 x 100)% = 5%
? S.P. = Rs. 54000
Gain earned = 20%
? C.P. = Rs. (100/120) x 54000 = Rs. 45000
Now, S.P. = Rs. 45000
And Loss = 10%
? Original C.P. = Rs. (100/90) x 45000 = Rs. 50000
? Loss% = (20/10)2 = (2)2 = 4%
? Total S.P. = Rs. 24000
? Total C.P. = Rs. (100/96) x 24000 = Rs. 25000
? Loss = Rs. 1000
Let C.P. = Rs. x
? x + x% of x = 75
? x + x2 / 100 = 75
? x2 + 100 x - 7500 = 0
? (x + 150)(x - 50) = 0
? x = 50
Let C.P. = Rs.100
S.P. at 10% loss = Rs. 90
? 2 / 3 of actual S.P. = Rs. 90
So, Actual S.P. = Rs. (90 x 3/2) = Rs. 135
? Gain = 35%
Net gain = 20% on 3/4 of cost price = 20 x 3/4 % of cost price
= 15% of cost price.
Let the cost price be 100 rupees.
So after 10% profile price would be Rs. 110.
Price when man sells this item at double price = Rs. 220.
Net profit = 220 - 100 = 120.
% Profit = 120 % ( Cost price is Rs. 100)
? 6% of C.P. + 6% of C.P. = Rs. 6
? 12% of C.P. = Rs. 6
? 12 / 100 x CP = 6
? CP = (100 x 6) / 12 = 50
? C.P. = Rs. 50
Let C.P. = Rs. P
Then S.P. = Rs. (90/100) x P = Rs. (9 x P)/10
New C.P. = Rs. (80/100) x P = Rs. (4 x P)/5
Now, Gain = 40%
? New S.P. Rs. (140/100 x 4P/5) = Rs. 28P/25
? 28P/25 - 9P/10 = Rs. 250
Let C.P. = P
Then S.P. = Rs. (110/100 x P) = Rs. 11P/10
New C.P. = Rs. (90/100 x P ) = Rs. 9P/10
New S.P. = (110/100 x 9P) / 100
? 11P/10 - 99P/100 = 132
? P = 1200
? C.P. = Rs. 1200
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