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1. The total discount on Rs.1860 due after a certain time at 5% is Rs. 60. Find the time after which it is due -

A. 9 months

B. 10 months

C. 7 months

D. 8 months

Solution:

\begin{aligned} Here, A = 1860, \\ R = 5 % \\ TD = 60 \\ ∴ TD = \frac{A \times R \times T}{100 + R \times T} \\ \Rightarrow 60 = \frac{1860 \times 5 \times T}{100 + 5 T} \\ \Rightarrow 6000 + 300 T = 9300 T \\ \Rightarrow 6000 = 9300 T - 300 T \\ \Rightarrow 6000 = 9000 T \\ \Rightarrow T = \frac{6000}{9000} \\ \Rightarrow T = \frac{2}{3} year \\ \Rightarrow T = \frac{2}{3} \times 12 \\ \Rightarrow T = 8 months \end{aligned}

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