Suppose the manufacturer should product produce x items.
? 60x - (40x + 3000) = 1000
? 20x = 4000
? x = 200
CP of first article is ? 1500, Gain=20%
SP of first article = (120/100) x 1500 = ? 1800
Total CP = 1500 + 1000 = ? 2500
Total gain = 16%
Total SP = (116/100) x 2500 = ? 2900
SP of second article = (2900 - 1800) = ? 1100
Thus, he should sell the second article at ? 1100.
CP per kg of the mixture = (w1x1 + w2x2 + w3x3) / (w1 + w2 + w3)
= (7 x 72 + 33 x 87 + 35 x 85)/75
= (504 + 2871 + 2975)/75 = 6350/75 = ? 84.66
Profit = 15%
? SP per kg = ? 84.66 + 15% of ? 84.66
= ? 97.37
Total cost price = 600 + 15% of 600
= 600 + (600 x 15)/100 = ?690
Profit = 25%
SP = CP(100 + Profit/100)
= 690{(100 + 25)/100} = (690 x 125) / 100
= ? 862.50
SP. of first hen = (115/100) x 500 = Rs. 575
SP of second hen = (95/100) x 500 = Rs. 475
Total SP = 575 + 475 = Rs. 1050
Total CP = 2 x 500 = Rs. 1000
Gain = SP - CP = (1050 - 1000) = Rs. 50
Gain percentage = (50/1000) x 100 = 5%
Total CP = (3.75/12) x 800 = (375/1200) x 800 = Rs. 250
Total SP = (1/2) x 450 + (2/5) x 350 = 225 + 140 = Rs. 365
Gain = 365 - 250 = Rs. 115
Gain percentage = (115/250) x 100% = 46%
Amount paid by B = ?110
Amount paid by C = 110 x 90/100 = ? 99
Then, If C paid ? 99 then, A paid ? 100.
If C paid ? 2079, then A paid = 2079 x (100/99) = ? 2100
SP at the stall at the trade fair = 2P - 20% of 2P = 8P/5
CP of the jacket = (P x 100)/(100 + 10) = 10P/11
? profit = 8P/5 - 10/11 = 38P/55
? Profit per cent made at the trade fair = [(38P/55) / (10P/11)]x 100
= (38/5) x (1/10) x 100
= 76%
Let the actual price of music system = ? P
The cost of music system to Mr. P after 20% discount= (80/100) x P = 4P/5
Cost of music system to Mr P after 25% discount = (75/100) x P = 3P/4
Then according to the question,
4P/5 - 3P/4 = 500
? (16P - 15P)/20 = 500
? P = 20 x 500 = 10000
? Cost of music system at 20% discount = (80 x 10000)/100 = ?8000
Market price = ? P
and SP = P -10% of P = 9P/10
? 9P/10 = 6750
? P = 7500
If SP = ? Rs.7500, then the CP would have been Rs.5000 due to 50% profit earned by the Shopkeeper.
? Actual percentage of profit by selling the article for ? 6750
= [(SP - CP)/CP] x 100 = [(6750 - 5000)/5000] x 100
= (1750/5000) x 100
= 35%
Let the fixed price of article = ?P
Then, Selling price = 90% of P = (90 x P)/100 = ? 9P/10
Also, the selling price = 115% of 72 = ?(115 x 72)/100
? (115 x 72)/100 = 9P/10
? P = ? 92
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