Question

the total discount on rs 1860 due after a certain time at 5% is rs 60.find the time after which it is due

Answer 1

Here,sum=1860

True discount=60

Therefore,present worth=sum -true discount

PW=(1860-60)

=1800

And we know,

PW=(td x 100)/(R x T)

Therefore,

R=(2/3)

=(2/3) x 12= 8 months.

Answer 2

The time after which it is due is 8 months.

Step-by-step explanation:

Given : The total discount on Rs.1860 due after a certain time at 5% is Rs.60.

To find : The time after which it is due ?

Solution :

Using the formula,

$TD=\frac{A\times R\%\times T}{100+R\%\times T}$

Where, TD is the total discount TD=Rs.1860

R% is the rate R%=5%

A is the amount A=Rs.1860.

T is the time

Substitute the value,

$60=\frac{1860\times 5\times T}{100+5\times T}$

$60=\frac{9300T}{100+5T}$

$60(100+5T)=9300T$

$6000+300T=9300T$

$9300T-300T=6000$

$9000T=6000$

$T=\frac{6000}{9000}$

$T=\frac{2}{3}\ yrs$

Converting years into months,

$T=\frac{2}{3}\times 12$

$T=8\ months$

Therefore, the time after which it is due is 8 months.

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