Quantitative Aptitude :: True Discount - Discussion

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Choose the correct option.

The true discount on a certain sum of money due 3 year hence is Rs.100 and the S.I. on the same sum for the same time and at the same rate is Rs.120. Find the sum and the rate percent.

A(6 + \(\frac{2}{3}\))%

B(5+ \(\frac{2}{3}\))%

C(2+ \(\frac{2}{3}\))%

D(4+ \(\frac{2}{3}\))%

Answer: Option (Login/Signup)

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STEP-BY-STEP

Siddhartha
17 Apr, 2019 10:44 PM

Sum can be calculated as,

S = ( S.I x T.D ) / ( S.I - T.D )

= Rs. [ ( 120 x 100 ) / ( 120 - 100 ) ]

= Rs. 600

And, Rate = ( 100 x 120 ) / ( 600 x 3 )

= 6.667%

= ( 6 + 2/3 ) %

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