The true discount on a certain sum of money due 2 2/3 years hence, is ₹ 150 and the simple interest on the… · ABC26GN5405

Subject: General Aptitude · Chapter: True Discount · Exam: MAT 2011

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

Answer (as printed): C

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.

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