Aptitude - True Discount - Discussion

Discussion Forum : True Discount - General Questions (Q.No. 4)
4.
A man wants to sell his scooter. There are two offers, one at Rs. 12,000 cash and the other a credit of Rs. 12,880 to be paid after 8 months, money being at 18% per annum. Which is the better offer?
Rs. 12,000 in cash
s. 12,880 at credit
Both are equally good
Answer: Option
Explanation:
P.W. of Rs. 12,880 due 8 months hence
= Rs. 12880 x 100
100 + 18 x 8
12
= Rs. 12880 x 100
112
= Rs. 11500.
Discussion:
34 comments Page 2 of 4.

Jasjit said:   1 decade ago
@Deepak.

We are only concerned about the two cases so option A is better.

You are considering 18% rate without taking the dealer's scheme so its impossible.

Prasanna $araf said:   1 decade ago
I agree with deepak as the solution says if I pay 12800 later thats just 11500 now so we are saving 500 here.

So it's better to pay later.

Ssr said:   1 decade ago
The question here asks which option is better for owner of the scooter.
So by explanation of Madhu.T cash is better than credit.

Because if we take cash now and give it for interest we get 1440 after 8 months at 18% interest per annum. But if we accept credit we only get 880 after 8 months.

Sudheer said:   1 decade ago
What is P.W? Anyone can explain?
(1)

Nivrutti said:   10 years ago
Why are you taken 100 please tell me anyone?

Owmker Das said:   10 years ago
Present Value of 12880 is 11500. This option costs lower than present 12000. So, answer should be 'on credit'. Kindly explain anyone?

Vishal said:   10 years ago
As I see it we only need to compare the two either pay cash or you pay 12880 which includes your 8 months interest @18%. We don't have the option of receiving 12000 after 8 months.

Kavya said:   9 years ago
Amount= P.W + I.

I = (P.W * T * R)/100.

So,

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

100(A) =100 * P.W + P.W * T * R.

P.W = 100A/100 + T * R.

A = 12880 (A is the total amount obtained after 8 months).

12000 -> obtained P.W.
(1)

Raja said:   9 years ago
Thank you @Madhu for the best explanation you gave. @Deepak, this deal is for a dealer not for the customer.

For the customer, the best one is of 12880. Otherwise, he'll charge with an imaginary amount of 13440.

And for the dealer, the best one is of 12000 in cash.

Rajesh Saha said:   9 years ago
Well explained, I agree @Deepak.


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