# Percentage based on Profit and Loss

What was the Percentage of Discount given?

1. 23.5 % profit was earned by selling an almirah for rs 12,350.

2. If there were no Discount,the earned profit would have been 30%

3. The cost price of the almirah was rs 10,000

for these Question option are

• only I and II

• only II and III

• only I and III

• Any two of the three

• None of these

options are used to find the discount with the help of three statements , or only two statements like that

I have tried:

From first statement:

Profit will be 23.5 percent

Selling Price will be 12,350

Cost Price =?

12350*100/123.5 = C.P

10,000 = C.P


From second statement

when no discount offered

Profit = 30 %

therefore selling price =130/100 * 10,000

S.P = 13,000

Difference in selling Price = 13,000 - 12,350 = 650

Percentage discount = 650/12350 *100 = 5.26%


I got the answer option a that is from one and second statement we can answer this question

But the answer is given as last option None of these what i am doing Mistake?Please anyone guide me

In question first statement you found cost price. But you are not able to find marked price. As for offered discount you need to know marked price.

Now placing things in an order -

From statement I -

After discount original SP 12350.

We can also calculate CP from it. CP = 10000.

From statement II -

MP = 13000 (Also SP if no discount).

Thus, I and II give the answer.

II and III can not give the answer. Because we require profit percentage with discount and profit percentage without discount. So II and III are not sufficient.

Since III gives C.P. = Rs. 10,000, I and III give the answer.

Therefore, I and II [or] I and III give the answer.