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
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & {\text{Here, A}}\, = \,1860, \cr & {\text{R}}\, = \,5\% \cr & {\text{TD}}\, = 60 \cr & \therefore \,{\text{TD}}\, = \,\frac{{A \times R \times T}}{{100 + R \times T}} \cr & \Rightarrow 60 = \frac{{1860 \times 5 \times T}}{{100 + 5T}} \cr & \Rightarrow 6000 + 300T = 9300T \cr & \Rightarrow 6000 = 9300T - 300T \cr & \Rightarrow 6000 = 9000T \cr & \Rightarrow T = \frac{{6000}}{{9000}} \cr & \Rightarrow T\, = \frac{2}{3}{\text{year}} \cr & \Rightarrow T\, = \frac{2}{3} \times 12 \cr & \Rightarrow T = 8\,{\text{months}} \cr} $$Related Questions on True Discount
The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is:
A. 12%
B. 13%
C. 15%
D. 14%
A. Rs. 9025.20
B. Rs. 9200
C. Rs. 9600
D. Rs. 9560
A. Rs. 12,000 in cash
B. Rs. 12,880 at credit
C. Both are equally good
D. Rs. 18.33
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