Quantitative Aptitude > Discount
DISCOUNT COMBINED MCQs
B.D. for \(\frac{3}{2}\)years = Rs. 558
B.D. for 2 years = Rs. \(\left(558\times\frac{2}{3}\times2\right)\)
= Rs.744
T.D. for 2 years = Rs. 600.
So, Sum = \(\frac{B.D.\times T.D.}{B.D.- T.D.} = Rs.\left(\frac{744\times600}{144}\right) = Rs. 3100\)
Thus, Rs. 744 is S.I. on Rs. 3100 for 2 years.
Therefore Rate = \( \left(\frac{100\times744}{3100\times2}\right)\) % = 12 %
T.D. = \(\left(\frac{B.G.\times100}{R\times T}\right)=Rs. \left(\frac{270\times100}{12\times3}\right)= Rs. 750\)
B.D. = Rs.(750 + 270) = Rs. 1020.
Sum = \(
\frac{B.D.\times T.D.}{B.D.-T.D.}=Rs. \left(\frac{72\times60}{72-60}\right)= Rs.\left(\frac{72\times60}{60}\right)= Rs. 360.\)
B.G. = \(\frac{(T.D.)}{P.W.}^{2} = Rs. \left(\frac{160\times160}{1600}\right) = Rs. 16.\)
B.G. = \(\frac{(T.D.)}{P.W.}^{2} = Rs. \left(\frac{36\times36}{800}\right) = Rs. 1.62\)
So, B.D. = (T.D. + B.G.) = Rs. (36 + 1.62) = Rs. 37.62
T.D. = \(\frac{B.G.\times100}{R\times T} = Rs. \left(\frac{6\times100}{12\times1}\right) = Rs. 50.\)
Let, B.D = Re. 1.
Then, B.G. = Re. \(\frac{3}{25}\)
So, T.D. = (B.D. - B.G.) = Re. \(\left(1-\frac{3}{25}\right) = Re. \frac{22}{25}.\)
Sum \(\left(\frac{1\times \left(\frac{22}{25}\right)}{1-\left(\frac{22}{25}\right)}\right) = Rs.\frac{22}{3}\)
S.I. on Rs. \(\frac{22}{3}\) for \(1\frac{1}{2}\) years is Re.1.
So , Rate = \(\left(\frac{100\times1}{\frac{22}{3}\times\frac{3}{2}}\right)\) % = \(\frac{10c}{11} \) = \(9\frac{9}{11}\) %
T.D. = P.W. x B.G. = 576 x 16 = 96.
P.W. = Rs. (540 - 90) = Rs. 450.
So, S.I. on Rs. 450 = Rs. 90.
S.I. on Rs. 540 = Rs. \(\left(\frac{90}{450\times540}\right) = Rs. 108\)
Therefore B.D. = Rs. 108.
Let T.D. be Re. 1.
Then, B.D. = Rs. \(\frac{11}{10}\) = Rs. 1.10
So, Sum = Rs. \(\left(\frac{1.10\times1}{1.10-1}\right) = Rs. \left(\frac{110}{10}\right) = Rs. 11.\)
So, S.I. on Rs. 11 for 2 years is Rs. 1.10
So, Rate = \(\left(\frac{110\times1.10}{11\times2}\right)\) % = 5%