Aptitude - True Discount - Discussion

Discussion Forum : True Discount - General Questions (Q.No. 1)
1.
A man purchased a cow for Rs. 3000 and sold it the same day for Rs. 3600, allowing the buyer a credit of 2 years. If the rate of interest be 10% per annum, then the man has a gain of:
0%
5%
7.5%
10%
Answer: Option
Explanation:

C.P. = Rs. 3000.

S.P. = Rs. 3600 x 100 = Rs. 3000.
100 + (10 x 2)

Gain = 0%.

Discussion:
59 comments Page 5 of 6.

Arun Edathara said:   1 decade ago
There is Easy way to understand that is 3000*10/100*2=600.

So there is no profit.

Arpan said:   1 decade ago
The seller made a profit of Rs.600 on the selling day, but he did that on credit of 2 years with an interest rate of 10%.

i.e 3000*10/100=300 for 1 year
for 2 years it will be 300*2=600

So, in gross he got nothing as interest as it was its future amount = 3600 after 2 years.

Sirisha said:   1 decade ago
Why don't we think that the second man bought it for credit ?

Sangeetha said:   1 decade ago
Here it's not specified that the first man bought it for credit.

Lechisagadisa said:   1 decade ago
Credit terms for first purchaser have not mentioned.

Anu said:   1 decade ago
@Nagarajan.

There are two buyers. In question its not mentioned that which buyer brought it for credit whether the buyer who brought for 3000 or 3600?

Nisha said:   1 decade ago
What do you mean by a credit of 2 years?

Priti said:   1 decade ago
Bessie, thanx for explaining,

Bessie said:   1 decade ago
Hmmmmm interesting!!!!
Cost Price (C.P) = 3000
Sellin Price (S.P) = 3600 receivable in 2yrs

Now, to calculate the present value (P.V) of 3600, we use the following formula:

P.V = F.V/(1+i) where F.V is future value (3600)

therefore, P.V. = 3600/(1+20%)
20% because we are talking of 2yrs

P.V. = 3000 approximately

Now Gain = Present value of selling price - cost price
= 3000 - 3000
=0

Madhu said:   1 decade ago
What is the formula ?


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