Aptitude - True Discount - Discussion
Discussion Forum : True Discount - General Questions (Q.No. 3)
3.
A trader owes a merchant Rs. 10,028 due 1 year hence. The trader wants to settle the account after 3 months. If the rate of interest 12% per annum, how much cash should he pay?
Answer: Option
Explanation:
| Required money | = P.W. of Rs. 10028 due 9 months hence | |||||||||||
|
||||||||||||
| = Rs. 9200. |
Discussion:
53 comments Page 1 of 6.
Tanav said:
4 years ago
The trader buys something at a credit of 12008 Rupees which he has to pay after 1 year. But, he wants to pay the amount after 3 months rather than the whole year. So, we find the present worth of the money at the end of 3 months, on which 9 months of interest will be equal to the sum due, i.e., 12008 rupees.
Using the formula,
Sum due * 100/100+(R+T)
= 12008 * 100/100+(12 * 9/12)
= 9200 Rupees.
Correct me, if I am wrong.
Using the formula,
Sum due * 100/100+(R+T)
= 12008 * 100/100+(12 * 9/12)
= 9200 Rupees.
Correct me, if I am wrong.
(10)
Charan said:
5 years ago
It is like this.
Actually, interest was put for whole 1 year (starting from January).
But he tells that, he will pay after 3 months (starting from April).
Meaning he is going to start to pay interest from 3rd month to 12th month, that means only 9 months.
Actually, interest was put for whole 1 year (starting from January).
But he tells that, he will pay after 3 months (starting from April).
Meaning he is going to start to pay interest from 3rd month to 12th month, that means only 9 months.
(9)
Ayushi Garkoti said:
5 years ago
Just use a simple formula- SI= P*R*t/100 , ans easily solve the question.
Given,
Amount = 10028 i.e, P+S.I.
10028 = P+ S.I or S.I= 10028- P.
10028 - P = {P*12*(9/12)}/100,
1002800 = 109P,
P= 9200.
Given,
Amount = 10028 i.e, P+S.I.
10028 = P+ S.I or S.I= 10028- P.
10028 - P = {P*12*(9/12)}/100,
1002800 = 109P,
P= 9200.
(9)
Vishnu vardhan reddy said:
5 years ago
@Ayushi Garkoti.
Why do you take a time period of 9 months? Please explain.
Why do you take a time period of 9 months? Please explain.
(3)
Plasi said:
5 years ago
@All.
We need to find out an amount of money(SAY, X) that will generate 10028 in 9 months (remember, originally 10028 was due in 12 months, now it is due in 9 months).
So basically,
10028 = X + (X*R*T)/100,
10028= X + (X* 12* 9/12)/100,
10028= X + (X*9)/100 as 12 gets cancelled,
10028= (100X+9X)/100,
10028*100 = 109x.
X= (10028 * 100)/109 = 9200.
We need to find out an amount of money(SAY, X) that will generate 10028 in 9 months (remember, originally 10028 was due in 12 months, now it is due in 9 months).
So basically,
10028 = X + (X*R*T)/100,
10028= X + (X* 12* 9/12)/100,
10028= X + (X*9)/100 as 12 gets cancelled,
10028= (100X+9X)/100,
10028*100 = 109x.
X= (10028 * 100)/109 = 9200.
(3)
Yoobsan Tolasa said:
3 years ago
Amount = pw +(pw * r * t).
10028 = pw + pw (12*9)/100 * 12,
10028 = 109*pw/100.
Pw = 9200.
10028 = pw + pw (12*9)/100 * 12,
10028 = 109*pw/100.
Pw = 9200.
(2)
Aishu said:
5 years ago
@Plasi.
Your explanation is clear. Thank you so much.
Your explanation is clear. Thank you so much.
(2)
Prabal Sinha said:
6 years ago
Just by basics:
Principle + 12%of principle for 1 year = 10028,
P{1+3/25}=10028,
28/25P=10028.
P = 8953.57.
Now we need to put interest for 3 months or 1/4th year.
8953.57 + (1/4)*(12/100) * 8953.57.
= 8953.57 + 268.60,
= 9222.17.
Principle + 12%of principle for 1 year = 10028,
P{1+3/25}=10028,
28/25P=10028.
P = 8953.57.
Now we need to put interest for 3 months or 1/4th year.
8953.57 + (1/4)*(12/100) * 8953.57.
= 8953.57 + 268.60,
= 9222.17.
(2)
Devanshu chourasiya said:
1 decade ago
Trader wants to pay after 3 months. But Trader owes a merchant 1 year hence for Rs. 10028/-. Since trader wants to pay after 3 months he has minus the 9 months interest (i.e., 12-3 months) from 10028. So 9 will comes into the picture here. Good one.
(1)
Madhu said:
1 decade ago
Rs. 10028/- has to be paid after 1 year including interest 12% P.A.
Present worth = 10028*100/112=8953.57
But he wants to pay after 3 months with interest 12% P.A
Interest = 8953.57*(12/100*(3/12)
= 268.60
Total Amount to be paid after 3 months = Present worth + 3 Months Interest.
i.e. 8953.57+268.60
= 9222.17
I got this Ans. Pls any body can help me on this.
Present worth = 10028*100/112=8953.57
But he wants to pay after 3 months with interest 12% P.A
Interest = 8953.57*(12/100*(3/12)
= 268.60
Total Amount to be paid after 3 months = Present worth + 3 Months Interest.
i.e. 8953.57+268.60
= 9222.17
I got this Ans. Pls any body can help me on this.
(1)
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