Aptitude - True Discount - Discussion

Discussion Forum : True Discount - General Questions (Q.No. 6)
6.
Goods were bought for Rs. 600 and sold the same for Rs. 688.50 at a credit of 9 months and thus gaining 2% The rate of interest per annum is:
16 2 %
3
14 1 %
2
13 1 %
3
15%
Answer: Option
Explanation:

S.P. = 102% of Rs. 600 = 102 x 600 = Rs. 612.
100

Now, P.W. = Rs. 612 and sum = Rs. 688.50.

T.D. = Rs. (688.50 - 612) = Rs. 76.50.

Thus, S.I. on Rs. 612 for 9 months is Rs. 76.50.

Rate = 100 x 76.50 % = 16%
612 x 3
4

Discussion:
20 comments Page 1 of 2.

Aravind said:   1 decade ago
SP = 102 % of 600 cannot be rs. 612
Hence the answer is wrong
please correct the error
Regards
Aravind

Omer said:   1 decade ago
How to put 9.375 in fraction in easy method to get 16*2/3

Kindly help me out

Abbin said:   1 decade ago
On reading the Q, I had a confusion that the 2% is for Rs.600 or Rs.688.50. I think that also should be mentioned in the question.

Sirisha said:   1 decade ago
As the gain is 2% then gain in Rupees is calculated as
gain=(2/100)*cost price
=(2/100)*600
=12

So the selling price that is the PW value becomes 600+12=612

Then TD=amount-PW=688.50-612=76.50
from this we claculate R using the formula
P.W=(100*T.D)/(R*T)

Mukesh vyas said:   1 decade ago
Please resolve value 102%.

Jyothi said:   1 decade ago
Purchase price = 600 consider it 100%.

Gain 2% on purchase price.

Present value of selling price = 100% + 2% = 102%.

Anjali singh said:   1 decade ago
Unable to understand how we get 102%of 600 = 612. What is the formula behind it?
(1)

Likhitha said:   1 decade ago
@Anjali.

(102/100)*600 = 612.

But I can't understand why?

P.W = (amount*100)/(R*T) this formula was used as real one is
P.W = (amount*100)/(100+(R*T).

Vignesh said:   1 decade ago
What is pw ?

Aparna said:   1 decade ago
Shall I know what is the formula for are how that 76.5 came here in the formula of rate?


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