Aptitude - Profit and Loss - Discussion

Discussion Forum : Profit and Loss - General Questions (Q.No. 9)
9.
Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
3.5
4.5
5.6
6.5
Answer: Option
Explanation:

Cost Price of 1 toy = Rs. 375 = Rs. 31.25
12

Selling Price of 1 toy = Rs. 33

So, Gain = Rs. (33 - 31.25) = Rs. 1.75

Profit % = 1.75 x 100 % = 28 % = 5.6%
31.25 5

Video Explanation: https://youtu.be/MhswuvDVWzo

Discussion:
46 comments Page 4 of 5.

Shiva said:   1 decade ago
33*12=396
396-375=21
21*100/375=5.6
so ans is 5.6%

Dheepthi said:   1 decade ago
20 dozen toys at rate of 375 Rs
Total cost= 375*20=7500

Total toys=20 dozens*12(1 doz=12 toys)=240 toys
Each sold=33 Rs

Therefore total S.P=33*240
=7920

Profit=S.P-C.P
=7920-7500
=420

Profit %=420/7500*100
5.6%

Abhishek said:   1 decade ago
C.P. Per dozen = 375 ,
Per Dozen contains 12 pieces.

S.P. per dozen = S.P. per piece * total piece = 33 * 12 = 396.

Profit per dozen = S.P " C.P = 396 " 375 = 21.

Profit % = ( (Profit * 100) / C.P.)=(21 * 100)/375 = 28/5 = 5.6 %.

RK Ko said:   1 decade ago
He had calculated the profit for only 1 toy, is it correct!?, I think that profit should be calculated for whole 20 dozens, am I correct?

Meenakshi sundareswar.m said:   1 decade ago
1 toy 31.25.
1 toy 33.

Cross multiply,

(33/31.25) - 1%.
5.6. make it simple.

Naresh said:   2 decades ago
The cost price of 20 dozens of toys = 375*20 i.e per dozen 375
= Rs 7500/-
the selling price of one dozen toys = 12*33
= Rs 396/-
the selling price of 20 dozen toys = 396*20
= Rs 7920/-
gain=sp-cp = 7920-7500 =Rs.420/-

gain%=(gain/cp)*100 = 420/7500*100 =5.6%

Bhanu said:   1 decade ago
You may mistake Abhinav.

Profit% = (profit/CP)*100.

Mahendra chozhan said:   1 decade ago
Its given he bought 1 dozen for Rs 375.
Its also given that he sold each for Rs 33.
Then for a dozen he sold for 12*33 = 396.

Therefore profit = S.P of a dozen - C.P of a dozen
= 396-375 = 21Rs.

Profit % = gain/C.P*100.
= 21/375*100.
= 5.6%.

Reema said:   1 decade ago
The point here is that profit percent will be same whether we sell 1 item or 1000 items.

Profit will vary but not profit%.

Anju said:   1 decade ago
I don't understand this problem, can anyone please explain me clearly?


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