Cost price (CP) = 10 / 12 ,
Selling price (SP) = 12 / 10
Profit (%) = [ (SP - CP) / CP ] x 100
? Profit (%) = [( 12 / 10 - 10 / 12 ) / (10 / 12) ] X 100 = 44 %
Let the cost price of one gram be Rs. 1, then the mark up price be Rs. 1.2 per g.
Now he sells 1000 g which seems to be 1250 g so he charges to a customer 1250 X 1.2 = Rs. 1500 for 1000 g (or Rs. 1000)
Thus his profit % 1500 -1000 / 1000 X 100 = 50 %
The best way is to go through option. Consider option (a)
Total profit = 15000 x ( 2 / 3 ) x 5 %
= 15000 x ( 2 / 3 ) x ( 5 / 100) = 500
Total loss = 15000 x ( 1 / 3 ) x 2 %
= 5000 x ( 1 / 3 ) x ( 2 / 100) = 100
Net gain = ( 500 - 100 ) = Rs. 400
Hence: option (a) is correct.
Alternatively : [( 1.05 X 2x/3 + 0.98 x/3) - x] = 400
? x=15000
Profit (%) = goods lefts / goods sold X 100 = ( 50 / 450 ) X 100 = 111/9 %
Alternatively : Suppose CP of 1g is Rs.1 then he sells goods worth Rs.450 only and charges Rs.500. So the profit is Rs.50 over the sale price of Rs. 450.
Go through options. Consider option (b)
200 x 3.25 - 200 x 3 = Rs. 50 = ( 30+20 )
Hence option, (b) is correct
Alternatively: Rs. 0.25 is the difference on 1 banana
Rs. 1 is the difference on 1/0.25 = 4 bananas
Rs. 50 is the difference on 4 x 50 = 200 bananas
Price after 10% discount = 10000 - 10 % of 10000 = 10000 - 0.1 x 10000 = 9000
Price after another 20% discount = 9000 - 20 % of 9000 = 7200
Price after 10% of transportation charges = 7200 + 7200 x 0.1 = 7920
Price after 10% of profit = 7920 + 7920 x 0.1 = 8712
? Selling price = 8712
Let's assume the cost price be (CP) = x
So selling price (SP) = 112.5x
Price marked on good ( MP ) = 300
According to question MP - 25% = SP
? x = 200, hence the cost price be Rs. 200.
Amount purchased = 1100 g
Amount sold = 900 g
Profit % = (200 / 900) X 100
= 22 2/9%
Go through options C.
After 80% profit on cost price 100 = 100 + 80% = 180
New SP = 180 / 3 = 60
percentage loss = 40% (100 - 60)
Hence, (c) is correct choice.
Reduction in price = 20% ( 1 / 5 )
Increase in amount = 25 % (1 / 4) = 6 kg
It means original amount of sugar needed = 6 X 4 =24 kg
? Original price of the sugar = 240 / 24
= Rs. 10 per kg
It is based on inverse proportion or product constancy concept.
Reduction in price = 25% (1 / 4)
Increase in amount = 33.33% ( 1 / 3 ) = 4 oranges
? Original price of oranges = 16 / 12 = Rs. 1.33
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