The difference between simple interest and the true discount on Rs. 2400 due 4 y

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The difference between simple interest and the true discount on Rs. 2400 due 4 years hence at 5% per annum simple interest is

Options:

A . Rs.70

B . Rs.30

C . Rs.50

D . Rs.80

Answer: Option D
Answer: (d)Using Rule 1,True discount= $\text"Amount × Rate × Time"/ \text"100 +(Rate × Time)"$= ${2400 × 5 × 4}/{100 + (5 × 4)}$= ${2400 × 5 × 4}/120$ = Rs.400S.I. = ${2400 × 5 × 4}/100$ = Rs.480Required difference= Rs.(480 - 400) = Rs.80

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