Aptitude - True Discount - Discussion

Discussion :: True Discount - General Questions (Q.No.10)

10. 

The present worth of Rs. 2310 due 2 years hence, the rate of interest being 15% per annum, is:

[A]. Rs. 1750
[B]. Rs. 1680
[C]. Rs. 1840
[D]. Rs. 1443.75

Answer: Option B

Explanation:

P.W. = Rs. 100 x 2310 = Rs. 1680.
100 + 15 x 5
2


Satish said: (Jan 7, 2011)  
How did you get the 5/2?

Farhaan said: (Jan 24, 2011)  
Elaborate explanation (step by step).

Nikitha said: (Aug 16, 2011)  
5/2 is equivalent to 2 n 1/2 years.

Kishan said: (Sep 17, 2011)  
What equations are apply the above problem to get solution. Please solve my dout.

Www said: (Sep 30, 2011)  
GIVEN AMOUNT=2310/-
TIME=2 AND 1/2 MEANS 24+6 months=30/12 years=5/2 years
R=15%

Thus using the formula of P.W

P.W=(amount*100)/(100+[R*T])

Mozthi said: (Jan 12, 2012)  
How did you get the 5/2? how it possible to solve the problem. Please clear my dought?

L.Mayuran said: (Feb 21, 2012)  
Given amount- 2310/=
Present value- 2310/(1.15^2.5)
Answer is 1628.79/=

Hari said: (Jun 9, 2012)  
How did you solve 1.15^2.5??

Rajee said: (Nov 28, 2013)  
Here, they have given the total amount (i.e. interest+principal) after 2 and 1/2 years = 5/2.

Simple interest = (principal*num of years*rate of interest)/100.

Total amount = simple interest & principal.

2310 = (pnr/100)+p.
2310 = p[(nr/100)+1].
231000 = p[((5/2)*15)+100].
(Since,multiply 100 on both sides).

Therefore, p = (231000*2)/[(5*15)+200].

Present worth p = 1680 rupees.

Atik said: (Jan 17, 2015)  
P.W means?

Siri said: (Apr 23, 2015)  
P.W means Present Worth.

Ch Narasimha Rao said: (Jun 1, 2015)  
Kindly provide the formula.

B.Chandrasekar said: (Jul 14, 2015)  
i = (pnr/100);

Total amount = Principle amount+Interest;

Total amount = 2310;

So, 2310 = ((pnr/100) +p);

2310 = p((nr/100)+1)).

= p(((5*15)/(2*100))+1).

So, p = (2310*200)/275.

p = 1680.

Suchita said: (Aug 6, 2015)  
Here amount = 2310.

Rate = 15%.

Time = 2 years and 6 months == 24+6 = 30 means 30/12 = 5/2.

Now by using formula of P.W,

P.W. = Amount*100/100+(r*t).

= 2310*100/100+(15* 5/2).

By taking LCM at denominator, we get.

= 2310*100/200+75/2.

= 2310*100*2/275.

= 1680.

Shruti said: (Sep 27, 2015)  
Can't we solve with the formula of compound interest?

Abhi said: (Oct 30, 2015)  
Present worth essentially means what?

Abhi said: (Oct 30, 2015)  
Present worth essentially means what?

Ashish said: (Jan 12, 2017)  
Here present worth is amount.

Amount = principal + simple interest
Principal = (100 * amount)/(100 + rate of interest * time period).
Principal = (100 * 2310)/(100 + 2.5 * 15) = 1680.

Bharath said: (Jun 12, 2018)  
Instead of by hearting formulas, we can go through concept and techniques that is the total amount after 2 1/2 years is 2310.

so in this amount total worth and interest are there so,
total amount = principal amount or present worth + interest.
let us assume that present worth is P.
2310= P + ((15/100)*(30/12)*P).
P=18480/11,
P=1680.

Prashant said: (Dec 3, 2018)  
Let P.W=X.
Then S.I=2310-X.
So S.I formula.
(X * 15 * 5)/(2 * 100)=2310-X.
We get X=1680.

Requeal said: (Oct 2, 2020)  
Simple:

They have taken 6 tables:
i.e 6*5 - 30.
6*2 - 12.

or you can calculate with the original value.
i.e 100+15*30รท12 = 137.5.

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