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 2 of 3.
Balasubramanian said:
9 years ago
Good explanations for discount and time & work problem. It helps to understand easily.
Swati said:
10 years ago
What is the full form of S.I?
Mamta said:
10 years ago
PW = Amt*100/100+rt = td*100/rt.
=> 11000/100+rt = 1000/rt.
=> rt = 10.
Now, we have amt 110 on t double at are % and need to find out new TD on new PW or you can say.
TD = Amt - PW.
= 110 - 110*100/100+r*2t.
= 110(1-100/100+2*10).
= 110(1-100/120) = 18.33.
=> 11000/100+rt = 1000/rt.
=> rt = 10.
Now, we have amt 110 on t double at are % and need to find out new TD on new PW or you can say.
TD = Amt - PW.
= 110 - 110*100/100+r*2t.
= 110(1-100/100+2*10).
= 110(1-100/120) = 18.33.
(1)
Anvesh said:
10 years ago
Let suppose 110 should be paid after 1 year with a discount of Rs. 10.
-> Present worth (PW) = 110-10 = 100.
-> Rate = Discount*100/(PW*time) = 10.
The question is what will be the present worth, if the amount becomes 110 after 2 years with rate 10% per year.
-> Present worth = 110/(1+10*2/100) = 91.67.
-> Discount = 110-91.67 = 18.33.
-> Present worth (PW) = 110-10 = 100.
-> Rate = Discount*100/(PW*time) = 10.
The question is what will be the present worth, if the amount becomes 110 after 2 years with rate 10% per year.
-> Present worth = 110/(1+10*2/100) = 91.67.
-> Discount = 110-91.67 = 18.33.
Kiruthi said:
1 decade ago
Please explain without formula generaly.
Madhukumar E said:
1 decade ago
It's given that,
If, TD on 110 = 10 at certain time hence,
then, TD on 100 =20 at double the time hence,
110 = 20.
100 = ?
= 18.18.
In the same way.
If, TD on 120 = 20 at certain time hence,
then, TD on 110 = x.
120 = 20.
110 = ?
20/120 = 1/6.
1/6*110 = 18.33.
So 18.33 answer.
If, TD on 110 = 10 at certain time hence,
then, TD on 100 =20 at double the time hence,
110 = 20.
100 = ?
= 18.18.
In the same way.
If, TD on 120 = 20 at certain time hence,
then, TD on 110 = x.
120 = 20.
110 = ?
20/120 = 1/6.
1/6*110 = 18.33.
So 18.33 answer.
Aejaz said:
1 decade ago
This can be taken as principal as 100 and amount as 110 then from amount = p + PTR/100 then we get RT as 10 : Now 2RT =20
and Amount is 110 then find the principal from above formula we will get amount as 91.65 so the discount is 110-91.67=18.33
and Amount is 110 then find the principal from above formula we will get amount as 91.65 so the discount is 110-91.67=18.33
Dhana said:
1 decade ago
Thanks abhishek.
Kuldeep Kumar Singh said:
1 decade ago
@Abhishek thanks for explaation.
Anu said:
1 decade ago
Thank you Abhishek.
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