A bill of ₹ 60,000 payable 10 months after date was discounted for ₹ 57,300 on 30th June, 2007. If the rate of interest was $11\frac{1}{4}\%$ per annum, on what date was the bill drawn?
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Application of Calculus - ISC Class 12 Mathematics Questions with Answers, Page 5
85 past-paper questions on Application of Calculus from ISC Class 12 Mathematics papers (2026-2017), newest first, in full. Questions 81-85 are on this page, 20 to a page. Tap "Show answer" under a question to see its answer.
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The demand for a certain product is represented by the equation $p = 500 + 25x - \frac{x^2}{3}$ in rupees where $x$ is the number of units and $p$ is the price per unit. Find:
(i)
Marginal revenue function.
(ii)
The marginal revenue when 10 units are sold.
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The price relatives and weights of a set of commodities are given below:
If the sum of the weights is 40 and weighted average of price relatives index number is 122, find the numerical values of $x$ and $y$.
| Commodity | A | B | C | D |
|---|---|---|---|---|
| Price relatives | 125 | 120 | 127 | 119 |
| Weights | $x$ | $2x$ | $y$ | $y + 3$ |
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Construct 3 yearly moving averages from the following data and show on a graph against the original data:
| Year | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 | 2007 | 2008 | 2009 |
|---|---|---|---|---|---|---|---|---|---|---|
| Annual sales in lakhs | 18 | 22 | 20 | 26 | 30 | 22 | 24 | 28 | 32 | 35 |
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A machine costs ₹ 60,000 and its effective life is estimated to be 25 years. A sinking fund is to be created for replacing the machine at the end of its life time when its scrap value is estimated as ₹ 5,000. The price of the new machine is estimated to be 100% more than the price of the present one. Find the amount that should be set aside at the end of each year, out of the profits, for the sinking fund if it accumulates at an interest of 6% per annum compounded annually.
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