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%?
Rs. 21,000
Rs. 22,500
Rs. 25,300
Rs. 25,800
Answer: Option
Explanation:

85 : 18700 = 115 : x

x = 18700 x 115 = 25300.
85

Hence, S.P. = Rs. 25,300.

Discussion:
83 comments Page 6 of 9.

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.

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.

Aayush said:   1 decade ago
I hope this helps you out guys.

S.P=18700(Given).
Loss%=15%(given).
We need to find out S.P so that the gain % becomes 15%.

Gain% must be = 15%(as per question).
so S.P = 115% OF C.P(Formula-derived).

C.P=(100/100-LOSS%)* S.P(Formula).

Note: we could have taken this formula also C.P=(100/100+GAIN%)*S.P, but for gain, S.P is NOT GIVEN so we don't use this one.

C.P=(100/100-15)*18700.
C.P=(100/85)*18700.
C.P=22000.

For gain of 15%.
S.P must be= 115% of C.P (mentioned above).
S.P=115/100*22000.
S.P=25300.(ANSWER).
(2)

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.

Wins said:   1 decade ago
18700 = 85% loss C.P.
So now,

18700/85%= 220.
220 = 1%.
220*115% = 25300.

Robin said:   1 decade ago
SP of a plot = 18,700.
Loss = 15 %.

CP of a plot = (100/100-loss) * CP.
= (100/85) * 18700 = 22,000.

Gain = 15 %.

SP = 115% of CP.
= (115/100)* 22000.

= 25,300.

Allari said:   1 decade ago
It's very easy method.

85 - 18700.
115 - ?

115*18700/85 = 25300.

Namrata said:   1 decade ago
Hi guys,

I have sum confusion, Please help me out.

If we solve this ques by the formula which is given in important formula then:

C.P = {100/(100-15)}*18700 = 22000.

So,

S.P = {(100+15)/100}*22000 = 335.

So why the answer is coming different.

Prasanta said:   1 decade ago
Sold = 18700.00.

Loss% = 15%.

So CP = 100/100-%loss*SP (formula).

100/100-15%*18700.

100/85%*18700.

100*100/85*18700.

10000/85*18700 = 22000.

22000*15%.

22000*15/100 = 3300.

22000+3300 = 25300.

MITUL said:   1 decade ago
CP=X
X-X*15/100=18700
>X=22000.

22000+22000*15/10
=25300.


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