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Naresh invested a certain amount of money in Rs. 100 shares at a discount of Rs. 20 paying a dividend of 7%, while Sahil invested an equal amount in R

Monjur Alahi

Naresh invested a certain amount of money in Rs. 100 shares at a discount of Rs. 20 paying a dividend of 7%, while Sahil invested an equal amount in Rs. 90 shares at a discount of Rs. 10 paying a dividend of 8%. Who earns more ?


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Salim Ahmed Kawsar

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Correct Answer - Sahil

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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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