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 5 of 9.

Raghavendra said:   6 years ago
S.P is 18700 with 0.15 %loss,

So c.p-sp=loss c.p=sp+loss.
c.p=18700+18700*0.15 = 21505,
SP = CP * 115/100 = 25300.

Indu said:   5 years ago
Why are we considering 15% as 115? Please explain.

Swathi n s said:   5 years ago
In ratio method.

15 percent =3/20.

Hence, sp:cp.

15 percent loss 20:17
15 percent gain 23:20.

By cancellin common term sp:cp =23:17.
Then 17x =18700 therefore x=1100.
23x = 25300.

Aarya said:   5 years ago
Given selling price(sp)=18700 (with loss of 15%)

So basically,
sp = cp(cost price) - 15% cp.
Let cp be x.
18700=x-0.15x.
18700=0.85x.
So we get x=cp=22000.

Now if he needs a gain of 15%,
SP=22000+15%(22000),
SP=25300.

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/-

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.


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