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:
85 comments Page 8 of 9.
Lil druk said:
1 decade 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:
1 decade 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.
Umesh saini said:
10 years ago
CP = 100/100-15 * 18700 = 22,000.
SP = 15 + 100/100 * 22,000 = 25300.
SP = 15 + 100/100 * 22,000 = 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.
John said:
1 decade ago
Let the actual price of the plot be X.
When the plot was sold at 18700 the loss% was 15%.
It means 18700 = 85% of X.
i.e. 18700 = 85/100*X.
Hence, X = 22000 (the actual price of the plot).
In order to make a profit of 15%, just find the 115% of 22000.
i.e. 115/100*22000 which will be Rs. 25300.
When the plot was sold at 18700 the loss% was 15%.
It means 18700 = 85% of X.
i.e. 18700 = 85/100*X.
Hence, X = 22000 (the actual price of the plot).
In order to make a profit of 15%, just find the 115% of 22000.
i.e. 115/100*22000 which will be Rs. 25300.
Kiran More said:
1 decade ago
SIMPLEST WAY.
Given:
S.P = 18700.
LOSS% = 15%.
FORMULA: TO FIND C.P WHEN LOSS% AND S.P IS GIVEN.
C.P = (100/100-LOSS%)*S. P.
= (100/100-15)*18700.
= (100/85)*18700.
C. P = 22000.
FOR NEW S.P = 115% OF 22000.
= (115/100)*22000.
= 25300.
Given:
S.P = 18700.
LOSS% = 15%.
FORMULA: TO FIND C.P WHEN LOSS% AND S.P IS GIVEN.
C.P = (100/100-LOSS%)*S. P.
= (100/100-15)*18700.
= (100/85)*18700.
C. P = 22000.
FOR NEW S.P = 115% OF 22000.
= (115/100)*22000.
= 25300.
AMIT said:
1 decade ago
Let C.P be x.
S.P of plot =18700.
Loss =15%= 85/100.
S.P= (100-LOSS%)/100*C.P.
18700=0.85*C.P.
C.P= 22000.
GAIN = 15% = 115/100.
C.P = 22000.
S.P = ?
S.P = (115/100)*22000 = 25300.
S.P of plot =18700.
Loss =15%= 85/100.
S.P= (100-LOSS%)/100*C.P.
18700=0.85*C.P.
C.P= 22000.
GAIN = 15% = 115/100.
C.P = 22000.
S.P = ?
S.P = (115/100)*22000 = 25300.
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