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.

Varna pradeep said:   1 decade ago
How this 12 will get?

Rajesh said:   10 years ago
20 dozens.

1 dozen = 375.

He sold each one of them at the rate of Rs. 33.

1 dozen = 12.

= 33*12 = 396.

= 375*5.6% = 21.

= 375+21 = 396.

Answer : 5.6%.

Nyefene Solomon said:   9 years ago
He bought 20 dozens at 375 each = 375 * 20 = 7500 = CP.

He sold each item (not each dozen) at 33, meanwhile each dozen contain 12 items.

Thus 33 * (12 * 20) = 7920 = SP.
Profit = SP - CP =7920 - 7500 = 420.

Profit% = Profit/CP * 100.

420/7500 * 100 = 5.6%.

Lucky said:   9 years ago
Shiva's explanation is nice.

We have to calculate profit %, not Profit.
So, we can calculate it on differences of 1 Dozen also and we don't need to do all calculation.

We always try to find the short trick to solve questions.

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

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%.

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.

Gopal Kashyap said:   9 years ago
CP of 1 dozen = 375.
CP of 20 dozens = 90000,
CP of 1 toy = 31.25,
SP of 1 toy = 33.
SP of 20 dozens = 95040,
Profit= SP - CP = 95040 - 90000 = 5040,
i.e profir = 5.6%.

Yuva said:   8 years ago
How 12 would come? Please explain clearly.

Raj said:   8 years ago
How to solve (1.75/31.25)*100?

Please explain me.


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