Aptitude - Profit and Loss - Discussion
Discussion Forum : Profit and Loss - General Questions (Q.No. 12)
12.
When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?
Answer: Option
Explanation:
85 : 18700 = 115 : x
 x = |
 |
18700 x 115 |  |
= 25300. |
| 85 |
Hence, S.P. = Rs. 25,300.
Discussion:
83 comments Page 5 of 9.
Prateek jain said:
9 years ago
First calculate the cost price by using formula:
Cost Price: (C.P.)
C.P. = 100/(100 - loss %) * sp.
Loss% = 15.
sp = 18700.
cp = 100/(100 - 15) * 18700 = 22000,
So now we want to gain a profit of 15% then we should take 15% of cp ie;
22000 * 15/100 = 3300.
sp = cp + 15% of cp.
sp = 22000 + 3300.
sp = 25300.
Cost Price: (C.P.)
C.P. = 100/(100 - loss %) * sp.
Loss% = 15.
sp = 18700.
cp = 100/(100 - 15) * 18700 = 22000,
So now we want to gain a profit of 15% then we should take 15% of cp ie;
22000 * 15/100 = 3300.
sp = cp + 15% of cp.
sp = 22000 + 3300.
sp = 25300.
Adesh Anbasti said:
9 years ago
@Juhi's answer was a very simple way to solve the problem.
Cgyel said:
9 years ago
The logic behind here is,
SP = 18700.
Loss=15%.
CP= (100/ 100 - 15) * 18700.
= 22000.
Loss = CP - SP.
2200 - 18700.
= 3300.
If he wants to sell for the profit for 15%.
Then 3300 * 2 = 6600.
There fore 18700 + 6600 = 25300.
SP = 18700.
Loss=15%.
CP= (100/ 100 - 15) * 18700.
= 22000.
Loss = CP - SP.
2200 - 18700.
= 3300.
If he wants to sell for the profit for 15%.
Then 3300 * 2 = 6600.
There fore 18700 + 6600 = 25300.
Lil druk said:
9 years ago
Old (Loss)
Selling Price = 18700.
Loss = 15%.
Cost Price = (100/(100-15)) * 18700)// use Cost Price Formula.
= (100/85) * 18700.
= 22000 // Note : C.P remains same through out business
New ( Gain)
Cost Price = 22000// Retrieve C.P from above as C.P remains same no matter what,
Gain = 15 %.
Selling Price = ((100 + 15)/100) * 22000 // use S.P formula.
= (115/100) * 22000.
= Rs. 25300.
New selling price to gain 15% profit is Rs. 25300.
Selling Price = 18700.
Loss = 15%.
Cost Price = (100/(100-15)) * 18700)// use Cost Price Formula.
= (100/85) * 18700.
= 22000 // Note : C.P remains same through out business
New ( Gain)
Cost Price = 22000// Retrieve C.P from above as C.P remains same no matter what,
Gain = 15 %.
Selling Price = ((100 + 15)/100) * 22000 // use S.P formula.
= (115/100) * 22000.
= Rs. 25300.
New selling price to gain 15% profit is Rs. 25300.
Shakil said:
10 years ago
By using the formula:
C.P = 100/85 * 18700 = 22000.
S.P = 115/100 * 22000 = 25300.
C.P = 100/85 * 18700 = 22000.
S.P = 115/100 * 22000 = 25300.
Nasar said:
1 decade ago
18700/ = is 85% not 100%.
Then, 18700/85 x 100 = 22000 (No loss or profit).
So, 15% profit 18700/85 x 115 = 25300.
Then, 18700/85 x 100 = 22000 (No loss or profit).
So, 15% profit 18700/85 x 115 = 25300.
Venus said:
1 decade ago
How will we get the answer we had given that he had bought it at 4% less?
Gaurav Sharma said:
1 decade ago
S.P = 18700.
And loss = 15%.
So C.P = S.P/100-loss% (as S.P = (100-loss%)C.P).
Now C.P = 18700/0.85-----(1).
At what price must that plot be sold in order to gain 15%? (this is our second statement).
Let S.P=x.
So C.P = S.P/100+gain%.
Now our C.P = x/1.15------(2).
Now equate 1 and second C.P.
i.e x/1.15 = 18700/0.85.
After solving we will get x that is S.P for second statement = 25300.
And loss = 15%.
So C.P = S.P/100-loss% (as S.P = (100-loss%)C.P).
Now C.P = 18700/0.85-----(1).
At what price must that plot be sold in order to gain 15%? (this is our second statement).
Let S.P=x.
So C.P = S.P/100+gain%.
Now our C.P = x/1.15------(2).
Now equate 1 and second C.P.
i.e x/1.15 = 18700/0.85.
After solving we will get x that is S.P for second statement = 25300.
Sara said:
1 decade ago
Hai.
C.P = (100/(100-loss%))*S.P.
From question.
C.P = (100/(100-15))*18700.
C.P = 22000.
Then we need 15% gain so,
22000*(15/100) = 3300.
So Cost price+Gain price = 22000+3300 = 25300.
C.P = (100/(100-loss%))*S.P.
From question.
C.P = (100/(100-15))*18700.
C.P = 22000.
Then we need 15% gain so,
22000*(15/100) = 3300.
So Cost price+Gain price = 22000+3300 = 25300.
Sajeev said:
1 decade ago
He is given 15% loss.
So 85% is equal to 18700.
= 0.85 = 18700.
= 0.15 = X.
Cross multiplication.
Therefore X = 3300.
= 18700+3300 = 22000.
For 15% profit.
22000*1.15 = 25300.
So 85% is equal to 18700.
= 0.85 = 18700.
= 0.15 = X.
Cross multiplication.
Therefore X = 3300.
= 18700+3300 = 22000.
For 15% profit.
22000*1.15 = 25300.
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