Aptitude - True Discount - Discussion

Discussion Forum : 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:
Rs. 1750
Rs. 1680
Rs. 1840
Rs. 1443.75
Answer: Option
Explanation:

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

Discussion:
21 comments Page 2 of 3.

Siri said:   1 decade ago
P.W means Present Worth.

Atik said:   1 decade ago
P.W means?

Rajee said:   1 decade ago
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.

Hari said:   1 decade ago
How did you solve 1.15^2.5??

L.mayuran said:   1 decade ago
Given amount- 2310/=
Present value- 2310/(1.15^2.5)
Answer is 1628.79/=

Mozthi said:   1 decade ago
How did you get the 5/2? how it possible to solve the problem. Please clear my dought?

Www said:   1 decade ago
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])

Kishan said:   1 decade ago
What equations are apply the above problem to get solution. Please solve my dout.

Nikitha said:   1 decade ago
5/2 is equivalent to 2 n 1/2 years.

Farhaan said:   1 decade ago
Elaborate explanation (step by step).


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