A tempo is insured to the extent of $\frac{4}{5}$ of its original value. If the premium on it at the rate of 1.3 percent amounts to ₹ 910, the original value of the tempo is
(a)₹ 78,500
(b)₹ 80,000
(c)₹ 82,500
(d)₹ 87,500
Answer
Answer (as printed): D
Explanation
Let the original value of the tempo be ₹ $x$. Then, $$\begin{aligned} 1.3 \% \text { of } \frac{4}{5} \text { of } x=910 & \Leftrightarrow \frac{13}{10} \times \frac{1}{100} \times \frac{4}{5} \times x=910 \\ & \Leftrightarrow x=\left(\frac{910 \times 10 \times 100 \times 5}{13 \times 4}\right)=87500 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.