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Applied Mathematics · 2024 · 3 marks
CBSE 2024 · Central · Set 4 · Q31
(a) A recent accounting graduate opened a new business and installed a computer system that costs ₹ 45,200. The computer system will be depreciated…
A recent accounting graduate opened a new business and installed a computer system that costs ₹ $\displaystyle 45$,200. The computer system will be depreciated linearly over $\displaystyle 3$ years and will have a scrap value of ₹ 0.
(i)
What is the rate of depreciation?
(ii)
Give a linear equation that describes the computer system's book value at the end of $\displaystyle \mathrm{t}^{\text {th }}$ year, where $\displaystyle 0 \leq \mathrm{t} \leq 3$.
(iii)
What will be the computer system's book value at the end of the first year and a half?
Find the effective rate which is equivalent to normal rate of $\displaystyle 10$% p.a. compounded :
(i)
semi-annually.
(ii)
quarterly.
[Given $\displaystyle (1.05)^2=1.1025$, $\displaystyle (1.025)^4=1.1038$]
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CBSE Class 12 Applied Mathematics past-paper question from the 2024 board exam. Where our answers come from.