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05 Sep 2021, 11:44
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Difficulty:
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64% (03:24) correct
36%
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James buys 12 toys and labels each with the same selling price. He sells 8 toys initially at 20% discount on the labeled price. Then he sells the remaining 4 toys at an additional 25% discount on the discounted price. Thus, he gets a total of Rs 2112, and makes a 10% profit. With no discounts, his percentage of profit would have been
A 60
B 50
C 55
D 54
E 65
A 60
B 50
C 55
D 54
E 65
05 Sep 2021, 20:29
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sarthakaggarwal
2112 or any other really does not change the question.
Let the labeled price be x.
So 8 sold at 0.8x => 6.4x
4 sold at 0.8x*\(\frac{75}{100}\) or 0.6x => 2.4x
Total = 6.4x+2.4x=8.8x
If there is a 10% profit and actual price be y for all 12 toys, then \(\frac{110}{100}y=8.8x…………..y=8x\)
Also, actual labeled price = 12*x
Profit = 12x-8x = 4x
Profit % = \(\frac{4x}{8x}*100=50\)
B
05 Sep 2021, 21:16
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Labelled Price of each toy= x
for first 8 toys= 0.8x
Remaininng 4= 0.75*0.8 =0.6 x
Selling Price (Total) =8*.8x +4*.6x = 8.8x =2112
x=240 (calculation actually not required)
Given, Profit =10% and let cost price for each toy be y
1.1*12y = 8.8x
12y (C.P)= 8x
if all toys were to be sold at non discounted Price , S.p= 12 x
Would be Profit = 12x-8x = 4x
Profit %= (4x/8x)*100
=50%
for first 8 toys= 0.8x
Remaininng 4= 0.75*0.8 =0.6 x
Selling Price (Total) =8*.8x +4*.6x = 8.8x =2112
x=240 (calculation actually not required)
Given, Profit =10% and let cost price for each toy be y
1.1*12y = 8.8x
12y (C.P)= 8x
if all toys were to be sold at non discounted Price , S.p= 12 x
Would be Profit = 12x-8x = 4x
Profit %= (4x/8x)*100
=50%
