CP = ? 180, gain = 20%
? SP = (120/100) x 180 = ? 216
Let the MP be ? P.
Then, 80% of P = 216
? (80/100) x P = 216
? P = (216 x 100)/80 = 270
Thus, MP is ? 270.
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
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 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
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%
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
Let the CP be ? 100 and let MP be ? x above ? 100.
Then, MP = ? (100 + x) and discount =10%
? SP = [(90/100) x (100 + x)] = ? 177
? x = 30
So, cost should be labelled at 30% above CP.
Let the MP of a scooter = ? P
? CP of a scooter= ? 11P/13, Gain = 10%
SP = (110/100) x P= ? 11P/10
Gain = SP - CP = (11P/10 - 11P/13) = (143P - 110P)/130 = ? 33P/130
Gain percentage = (33P/130) x (13/11P) x 100 % = 30%
CP. = (80% of 90% of ?40000) + ?(1200)
= [(80/100) x (90/100) x 40000] + 1200
= (28800 + 1200)
= ?30000
? CP = ?30000
So, no gain no loss in the transaction.
Gain percentage = [Error/(True value - Error)] x 100 %
= [(100/(1000 - 100)] x 100 %
= (100/900) x 100 %
= 111/9%
Let the actual price of per kg of wheat = ? . 100
Then, selling price = 110% of 100 = ? 110
Now, shopkeeper sell 20% less than actual weight so cost price to shopkeeper will be = 80% of 100
= (80 x 100)/100
= ? 80
Hence, required profit gained by shopkeeper = [(110 - 80)/80] x 100
= (30/80) x 100
= 37.5%
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