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 3 of 5.

Uday said:   9 years ago
Given 20 dozen toys.

C.P for 1 dozen = 375.
For 1 toy = 375/12 = 31.25.

But given s.p for each is 33.
Gain = 33 - 31.25 = 1.75 for 1 toy.

For dozen 12 * 1.75 = 21.

So the C.P becomes 375 + 21 = 396.
So the gain is (396 * 20) - (375 * 20) = 420.
Gain% = (420/(375 * 20)) * 100.

Aditya said:   9 years ago
Here Rs. 375 for 1 dozen toys.

So CP = 375/12 = Rs. 31.25 for each toy.

SP = Rs. 33 for each toy.

Now calculate profit%.

Aakash said:   9 years ago
A question in written vaguely. "he sold each one of them". One of what ? a toy or a dozen.

Abhinav said:   1 decade ago
Profit% formula is (profit/s.p)*100. But some calculated with c.p in denominator.

Mrs pallavi said:   1 decade ago
Use our simple logic read problem carefully,

20 dozen toys at rate of 375 rs
So total cost= 375*20=7500
Now calculate 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
Now profit %=420/7500*100
5.6%

Therefore he gains 5.6% profit

Afsal said:   1 decade ago
I got the satifaction that 1 problem I done was correct.

Manish said:   1 decade ago
Each sold=33

12 dozens= 1 thing

12 toy are prize=375
1 toy is prize (?)

375/12=31.25 per rate

Profit=33-31.25=1.75

Profit(%)=1.75/31.25*100=5.6 % profit.

Ashok said:   1 decade ago
Hai friends.

Above problem is wrong why because there is calculate for only 1 dozen but in the problem asked total profit so 5. 6*20% is the right answer please replay me if it's wrong.

Vinod said:   1 decade ago
In above problem total profit is not asked. They asked percent profit, and that problem is correct.

Sundar said:   1 decade ago
@Ashok

20 dozens x Rs.375 per dozen = Total cost Rs.7500

(20 x 12) total toys x Rs. 33 per toy = Total sales Rs.7920

Total Cost Price (CP) = 7500
Total Selling Price (SP) = Rs. 7920
Profit = 7920 - 7500 = Rs.420

Profit Percentage = Profit/CP*100

= 420/7500*100

= 5.6 percentage.

Hope this will help you. Have a nice day!


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