# Aptitude - True Discount - Discussion

Discussion Forum : True Discount - General Questions (Q.No. 5)

5.

If Rs. 10 be allowed as true discount on a bill of Rs. 110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is:

Answer: Option

Explanation:

S.I. on Rs. (110 - 10) for a certain time = Rs. 10.

S.I. on Rs. 100 for double the time = Rs. 20.

T.D. on Rs. 120 = Rs. (120 - 100) = Rs. 20.

T.D. on Rs. 110 = Rs. | 20 | x 110 | = Rs. 18.33 | ||

120 |

Discussion:

29 comments Page 1 of 3.
Teja said:
2 years ago

In the question itself( T.R =10), they doubled the time that means then P.W also changes.

So, calculate the P.W after change by (2 .T.R=20).

A = P.W(1+2.T.R/100).

110 = P.W(1+20/100).

P.W = 110(5/6).

T.D = A - P.W = 110 - 110(5/6) = 110/6 = 18.33.

So, calculate the P.W after change by (2 .T.R=20).

A = P.W(1+2.T.R/100).

110 = P.W(1+20/100).

P.W = 110(5/6).

T.D = A - P.W = 110 - 110(5/6) = 110/6 = 18.33.

Raman said:
3 years ago

We have to find the discount if the same sum i.e. 110 is supposed to be paid after 2 years instead of 1 year.

Gohil Rajnikant said:
4 years ago

Thanks @Abhisek.

Sudip Dhara said:
4 years ago

See, the true discount allowed is Rs. 10 and the amount to be paid after a certain time is Rs. 110.

We don't know the time and the present worth. So lets assume a value. Let's say the present worth is Rs.100, and the time is 1 year. Thus the Rate has to be 10%. Now double the time, so what is the present worth if Rs.110 was due in 2 years at 10%? It comes out to be Rs. 91.66. Thus the true discount becomes Rs.18.33.)

We don't know the time and the present worth. So lets assume a value. Let's say the present worth is Rs.100, and the time is 1 year. Thus the Rate has to be 10%. Now double the time, so what is the present worth if Rs.110 was due in 2 years at 10%? It comes out to be Rs. 91.66. Thus the true discount becomes Rs.18.33.)

(1)

Jubair said:
5 years ago

Thanks @Abhishek.

Manisha said:
5 years ago

Thanks @Abhishek.

Swetha said:
5 years ago

Thank you @Abhishek.

Devendra said:
5 years ago

Thank you for explaining the answer.

Arvindkumargp said:
6 years ago

Thanks @Abhishek.

Keerthi said:
6 years ago

Given.

T.D = 10, AMOUNT = 110.

SO, BY USING THE FORMULA.

100*AMT/(100+RT)=100 * T.D/(RT),

WE KNOW THAT RT= 10,

Since the question asked to find out the T.D after double the time

RT=20,

So, by using the same above formula T.D=18.3333.

T.D = 10, AMOUNT = 110.

SO, BY USING THE FORMULA.

100*AMT/(100+RT)=100 * T.D/(RT),

WE KNOW THAT RT= 10,

Since the question asked to find out the T.D after double the time

RT=20,

So, by using the same above formula T.D=18.3333.

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