U.P. Sugar Works Ltd. was registered on 1st January, 2019 with an authorised capital of Rs. 15,00,000 divided into 15,000 shares of Rs. 100 each. The

Monjur Alahi

U.P. Sugar Works Ltd. was registered on 1st January, 2019 with an authorised capital of Rs. 15,00,000 divided into 15,000 shares of Rs. 100 each. The company issued on 1st April, 2019, 5,000 shares of Rs. 100 each at a premium of Rs. 5 per share payable Rs. 25 per share on application, Rs. 30 (including premium) on allotment and the balance in two equal instalments of Rs. 25 per each on 1st July and 1st October respectively . All the allotment and call moneys were paid when due, except in case of one shareholder who failed to pay the final call on 100 shares held by him . His shares were forfeited on 1st November after giving him a due notice.
Show necessary entries in the books of the company to record these transactions .


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Salim Ahmed Kawsar

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Correct Answer - Forfeited Shares A/c-Rs. 7,500.

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Prove that `^100 C_2^(100)C_2+^(100)C_2^(100)C_4+^(100)C_4^(100)C_6++^(100)C_(98)^(100)C_(100)=1/2[^(200)C_(98)-^(100)C_(49)]dot`

To find `S = .^(100)C_(0).^(100)C_(2)+.^(100)C_(2).^(100)C_(4)+.^(100)C_(4).^(100)C_(6)+"....."+.^(100)C_(98).^(100)C_(100)` Consider, `.^(100)C_(0).^(100)C_(2)+.^(100)C_(1).^(100)C_(3) + .^(100)C_(2).^(100)C_(4)+.^(100)C_(3)+.^(100)C_(5)+"...." + .^(100)C_(98).^(100)C_(100)` `= .^(100)C_(0).^(100)C_(98)+.^(100)C_(1).^(100)C_(97) + .^(100)C_(2).^(100)C_(96)+.^(100)C_(3).^(100)C_(95) + "....."+^(100)C_(98) .^(100)C_(0)` = Coefficients of `x^(98)` in `(1+x)^(100) (1+x)^(100)` `= .^(200)C_(98) " "(1)` Also,...

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