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 7 of 9.

Syed Arif Ali said:   1 decade ago
S.P=18700
Loss=15%
Means
Assume C.P=100%
S.P= C.P-loss
i.e 18700= 100%-15%
18700=85%
We need 115% means 15% profit

18700=85%
?= 115%
i.e = 25300

Shashank said:   1 decade ago
Formula of C.P=(100*S.P)/(100-loss%).

Then C.P=100*18700/100-15.

=100*18700/85.

=22000Rs.

Then S.P= 15/100*22000.

=25300Rs.

That's the answer. clear it.

Prateek said:   1 decade ago
Plot sale = Rs 18700.
Let the C.P be=x.
Loss=C.P-S.P.
0. 15x=x-18700.
X=22000 i.e. C.P of plot = Rs 22000.
To gain 15% = 15%0f 22000 = Rs 3300.
So S.P = C.P+profit.
22000+3300= Rs 25300 answer.

Rajkumar said:   1 decade ago
C.P = 100/(100-loss%) * S.P

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

15% Of 22000 is 3300

since it is gain %

we add

22000 + 3300 = 25300

Meena said:   1 decade ago
Jegadeesh nice explanation. Thanks.

Shantanu said:   1 decade ago
Superb Explanation @SUNIL!!!

Hari said:   1 decade ago
85% of some thing is 18,700 (loss of 15%)
then wats 115% of the thing (gain of 15%)
(115*18700/85)

Vrutti said:   1 decade ago
S.P = 18,700
loss = 15%.
So,C.P = Rs.((100/85)*18,700) (i.e. c.p=(100/100-loss%)*s.p))
Hence,C.P = 22,000

Now, C.P = 22,000, gain Required 15%

so,S.P = ((115/100)*22,000)(i.e. s.p=(100+gain% /100)*c.p))
Hence,S.P = 25,300

Naresh parmar said:   1 decade ago
Thanks avjit

CP=100*18700/(100-15)= 22000 {CP=100*SP/(100-loss}

SP=(100+15)*22000/100=25300 {SP=(100+gain)*CP/100}

M.V.KRISHNA/Palvancha said:   1 decade ago
Given s.p=18700,loss=15%;

then c.p=s.p+loss,

=>c.p=Rs.21505/-
....................................

gain=s.p-c.p;

gain%=(gain/c.p)*100;

15=(gain/21505)*100;

15=((s.p-21505)/21505)*100;

If he sells the plot for 25300(option c) the gain%=17.64.

to get gain% of 15% he should sell the plot for Rs.24730.75/-


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