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Breanna Ollech

Numerade educator

(a) Fit a straight line trend by the method of least squares. (b) Calculate the trend values. Year 2001 2002 2003 2004 2005 2006 2007 Production 12 10 14 11 13 15 16

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Breanna Ollech

Numerade educator

A certain drug was administrated to 500 people out of total of 800 included in the sample to test its efficacy against typhoid. The results are given below. Particulars Typhoid No Typhoid Total Drug 200 300 500 No Drug 280 20 300 Total 480 320 800 On the basis of these data, can it be concluded that the drug is effective in preventing typhoid? Given for V = 1, Chi-square 0.05 = 3.84.

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Find the solution of the boundary value problem \( u^{\prime \prime}=u+x, x \in[0,1], u(0)=0, u(1)=0 \). Using the shooting method. Use the fourth order Taylor series method to solve the initial value problem with \( h=0.2 \).

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From the following ledger balances of Peoples Bank Ltd., prepare Profit and Loss Account. \begin{tabular}{lr} & \multicolumn{1}{c}{ Rs. } \\ Interest paid on deposits & \( 1,60,520 \) \\ Commission exchange and brokerage & 44,240 \\ Interest received & \( 5,32,260 \) \\ Discount on bills discounted & \( 2,43,760 \) \\ Salary and provident fund & 40,000 \\ Profit on sale of fixed assets & 30,000 \\ Printing and stationary & 10,000 \\ Postage and telephones & 20,000 \end{tabular} Note : Provide for taxation Rs. 20,000 and rebate on bills discounted was Rs. 14,380.

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Breanna Ollech

Numerade educator

17. (a) The Insol Ltd. is to be liquidated. Their summarised Balance sheet as at 30th Sep. 2003 appears as under : Liabilities Rs. Assets Rs. 2,50,000 equity shares of Land and each 25,00,000 Buildings 5,00,000 Secured debentures Other fixed (on Land and Building) 10,00,000 assets 20,00,000 Unsecured loans 20,00,000 Current assets 45,00,000 Trade creditors 35,00,000 P/L A/c 20,00,000 90,00,000 90,00,000 Contingent liabilities are : For bills discounted 1,00,000 For excise duty demands 1,50,000 On investigation, it is found that the contingent liabilities are certain to devalue and the assets are likely to be realised as follows : Land and Building 11,00,000 Other fixed assets 18,00,000 Current assets 35,00,000 Taking the above into account, prepare the statement of affairs.

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S Ltd. has capital of Rs. \( 15,00,000 \) in shares of Rs. 100 each. Out of this, 'H' Ltd. purchased \( 75 \% \) shares at Rs. \( 17,50,000 \). The profit of 'S' Ltd. at the time of purchase of shares by 'H' Ltd. were Rs. \( 7,56,000 \). ' \( \mathrm{S} \) ' Ltd., decided to make a bonus issue out of capital profits of one share of Rs. 100 each fully paid for every three shares held. Calculate the cost of control after the issue of bonus shares.

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18. The Balance sheets of C Ltd. And D Ltd. As at \( 31^{\text {st }} \) December, 1986 as follows : \begin{tabular}{|c|c|c|c|c|c|} \hline Liabilities & \begin{tabular}{l} C Ltd. \\ Rs. \end{tabular} & \begin{tabular}{l} D Ltd. \\ Rs. \end{tabular} & Assets & \begin{tabular}{l} C Ltd. \\ Rs. \end{tabular} & \begin{tabular}{l} D Ltd. \\ Rs. \end{tabular} \\ \hline \begin{tabular}{l} Share capital \\ (in shares of \\ Rs. 10 each) \end{tabular} & \( 2,00,000 \) & \( 1,00,000 \) & \begin{tabular}{l} Sundry \\ assets \end{tabular} & \( 1,32,500 \) & \( 1,38,200 \) \\ \hline \begin{tabular}{l} General \\ reserve \end{tabular} & 18,000 & 20,000 & Goodwill & & 20,000 \\ \hline PL A/c & 24,500 & 23,000 & Shares in & & \\ \hline \multirow[t]{2}{*}{ Creditors } & 30,000 & 15,200 & \begin{tabular}{l} D Ltd. at \\ cost \end{tabular} & \( 1,40,000 \) & - \\ \hline & \( 2,72,500 \) & \( \underline{1,58,200} \) & & \( \underline{2,72,500} \) & \\ \hline \end{tabular} In the case of ' ' Ltd. Profit for the year ended \( 31^{\text {st }} \) December 1986 is Rs. 12,000 and transfer to reserve is Rs. 5,000 . The holding of C Ltd. in D Ltd. is \( 90 \% \) acquired on \( 30^{\text {th }} \) June 1986. Draft a consolidated Balance sheet of ' \( \mathrm{C} \) ' Ltd. and its subsidiary.

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INSTANT ANSWER

(b) The Balance sheet of Saraswati Co. Ltd. disclosed the following position as on \( 31^{\text {st }} \) December 1998. \begin{tabular}{|c|c|c|c|} \hline Liabilities & Rs. & Assets & Rs. \\ \hline Share capital : & & Goodwill & \( 1,65,000 \) \\ \hline \begin{tabular}{l} 6,000 equity shares of \\ Rs, 100 each \end{tabular} & \( 6,00,000 \) & Investments & \( 5,25,000 \) \\ \hline \( \mathrm{P} / \mathrm{L} \mathrm{A} / \mathrm{c} \) & 75,000 & Stock & \( 6,60,000 \) \\ \hline General reserve & \( 2,25,000 \) & Sundry debtors & \( 3,90,000 \) \\ \hline \( 6 \% \) debentures & \( 4,50,000 \) & Cash at bank & 60,000 \\ \hline Sundry creditors & \( 1,50,000 \) & & \\ \hline Workmen's Saving Bank A & \( 3,00,000 \) & & \\ \hline & \( 18,00,000 \) & & \( 18,00,000 \) \\ \hline \end{tabular} (i) The profits for the past five years were : 1994 - Rs. 30,000 ; 1995 - Rs. 70,000 ; 1996 - Rs. 50,000 ; 1997 - Rs. 55,000 and 1998 - Rs. 95,000 . (ii) The market value of investments was Rs. \( 3,30,000 \). (iii) Goodwill is to be valued at three years purchase of the average annual profits for the last five years. Find the intrinsic value of each share.

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Mahesh k.