Question Bank › General Aptitude › True Discount › ABC26GN5405ABC26GN5405 · True Discount Subject: General Aptitude · Chapter: True Discount · Exam: 2011 · Marks: · Difficulty:
The true discount on a certain sum of money due $2 \frac{2}{3}$ years hence, is $₹ 150$ and the simple interest on the same sum for the same time and at the same rate is ₹ 200. Interest rate per annum is
(a) 10\%
(b) 12\%
(c) $12 \frac{1}{2} \%$
(d) $8 \frac{1}{2} \%$
Answer Explanation $\mathrm{TD}=₹ 150$ and $\mathrm{SI}=₹ 200$ $$\begin{aligned} \text { Sum due } & =\frac{\mathrm{SI} \times \mathrm{TD}}{(\mathrm{SI})-(\mathrm{TD})} \\ & =₹\left(\frac{200 \times 150}{200-150}\right)=₹ 600 \\ \text { Rate } & =\left(\frac{100 \times 200}{600 \times \frac{8}{3}}\right) \% \\ & =\left(\frac{20000}{1600}\right) \% \\ & =\left(\frac{200}{16}\right) \% \\ & =12 \frac{1}{2} \% \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
← Previous in chapter · Chapter list · Next in chapter → Open in whiteboard · Browse this chapter in the app