C.P. of dozen apples = Rs. (12 x 4 + 16 x 2) = Rs. 80
Gain = 20%
? S.P. = Rs. (120/100) x 80 = Rs. 96
S.P. per dozen = Rs. (96/6) = Rs. 16
Let A's C.P. = Rs. 100
B's C.P. = Rs. 105
C's C.P. = 104% of Rs. 105 = Rs. 109.20
? 109.20 : 91 = 100 : P
? P = (91 x 100) / (109.20) = Rs. 83.33
Let S.P. of T.V. (by trader) = Rs. 100
If S.P. is Rs. 80, then M.P. = Rs. 100
If S.P. is Rs. 100, M.P. = Rs. (100 / 80) x 100 = Rs. 125
Now, if discount is 25% then, S.P. = (75% of Rs. 125) = Rs. 375/4
Difference between two S.P. = Rs. (100 - 375/4) = Rs. 25 / 4
If difference is Rs. 25/4, S.P. = Rs. 100
If difference is Rs. 500, S.P. = Rs.(100 x 4 ) / (25 x 500) = Rs. 8000
Let the error be W gms.
Then, [W/ (1000 - W)] x 100 = 300 / 47
? W / (1000 - W) = 3 / 47
47 x W = 3000 - 3 x W
? W = 60
So, he uses a weight = (1000 - 60)gm = 940 gms for 1 kg.
Suppose he buys 12 oranges. Then S.P. = Re. 1
Now, 80 : 1 : : 120 : R
? R = (1 x 120) / 80 = 3/2
? For Rs. 3/2, oranges sold = 12
For Re. 1 oranges sold = (12 x 2) / 3 = 8
So, he must sell them at 8 for a rupee.
Let the printed price of the book be Rs. 100.
After a discount of 10%, S.P. = Rs. 90
Profit earned = 12%
? C.P. of the book = Rs. (100 / 112) x 90 = Rs. 1125 / 14
Hence, (C.P.) : (printed price) = (1125 / 14) : 100 = 45 : 56
C.P. of B = 110% of Rs. 10000 = Rs. 11000
Loss of B = 10%
S.P. of B = 90% of Rs. 11000 = Rs. 9900
Thus, C.P. of A = Rs. 9900
So, A gets [(10% of Rs. 10000) + (10000 - 9900)] = Rs. 1100
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%
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
? 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
? 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
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