Quantitative Aptitude > Discount
DISCOUNT COMBINED MCQs
C.P. = Rs. 3000.
S.P. = Rs. \(\left[\frac{3600\times100}{100+(10\times2)}\right]\) = Rs. 3000.
Gain = 0%.
P.W. = Rs. (2562 - 122) = Rs. 2440.
Sp, S.I. on Rs. 2440 for 4 months is Rs. 122
Therefore Rate = \(\left[\frac{100\times122}{2440\times\frac{1}{3}}\right]\) % = 15%
Required money = P.W. of Rs. 10028 due 9 months hence
= Rs. \(\left[\frac{10028\times100}{100+\left(12\times\frac{9}{12}\right)}\right]\)
= Rs. 9200.
P.W. of Rs. 12,880 due 8 months hence = Rs. \(\left[\frac{12880\times100}{100+\left(18\times\frac{8}{12}\right)}\right]\)
= Rs. \(\left(\frac{12880\times100}{112}\right)\)
= Rs.11500.
S.I. on Rs. (110 - 10) for a certain time = Rs. 10.
S.I. on Rs. 100 for double the time = Rs. 20.
T.D. on Rs. 120 = Rs. (120 - 100) = Rs. 20.
T.D. on Rs. 110 = Rs. \(\left(\frac{20}{120}\times110\right)\) = Rs. 18.33
P.W. of Rs. 12,880 due 8 months hence = Rs. \(\left[\frac{12880\times100}{100+\left(18\times\frac{8}{12}\right)}\right]\)
= Rs. \(\left[\frac{12880\times100}{100+\left(18\times\frac{8}{12}\right)}\right]\)
= Rs. 11500.
S.I. on Rs. (110 - 10) for a certain time = Rs. 10.
S.I. on Rs. 100 for double the time = Rs. 20.
T.D. on Rs. 120 = Rs. (120 - 100) = Rs. 20.
T.D. on Rs. 110 = Rs. \(\left(\frac{12}{120}\times110\right)\) = Rs. 18.33
S.P. = 102% of Rs. 600 = \(\left(\frac{102}{100}\times600\right)\) = Rs. 612.
Now, P.W. = Rs. 612 and sum = Rs. 688.50.
So, T.D. = Rs. (688.50 - 612) = Rs. 76.50.
Thus, S.I. on Rs. 612 for 9 months is Rs. 76.50.
So, Rate = \(\left(\frac{100\times76.50}{612\times\frac{3}{4}}\right)\) % = \(16\frac{2}{3} \) %
Let P.W. be Rs. x.
Then, S.I. on Rs. x at 16% for 9 months = Rs. 189.
So, x x 16 x \(\frac{9}{12}\times\frac{1}{100}\) = 189 or x = 1575.
So, P.W. = Rs. 1575.
So, Sum due = P.W. + T.D. = Rs. (1575 + 189) = Rs. 1764.
S.P. = P.W. of Rs. 2200 due 1 year hence
= Rs. \(\left[\frac{2200\times100}{100+(10\times1)}\right]\)
= Rs. 2000.
Therefore Gain = Rs. (2000 - 1950) = Rs. 50.