NUK Ltd. forfeited 1,000 shares of ₹ 10 each, fully called up for non-payment of final call of ₹ 2 per share. 800 of these shares were reissued at ₹ 11 per share fully paid. The amount credited to Capital Reserve Account will be:

Question

Let \(y=y(x)\) be the solution of the differential equation \[ x\frac{dy}{dx}=y-x^2\cot x,\quad x\in(0,\pi) \] If \(y\!\left(\frac{\pi}{2}\right)=\frac{\pi^2}{2}\), then \[ 6y\!\left(\frac{\pi}{6}\right)-8y\!\left(\frac{\pi}{4}\right) \] is equal to:

Answer 1

- A total of ₹ 10 per share has been called up on 1,000 shares, resulting in a fully called-up amount. - ₹ 2 per share was forfeited due to the final call remaining unpaid, leading to a total forfeited amount of ₹ 2 × 1,000 = ₹ 2,000. - For the 800 shares that were reissued at ₹ 11 per share: - The reissue generated ₹ 11 × 800 = ₹ 8,800. - The paid-up value for these 800 shares was ₹ 10 × 800 = ₹ 8,000. - The difference of ₹ 8,800 - ₹ 8,000 represents the premium received, which is distinct from the Capital Reserve. - The Capital Reserve is derived from the forfeited amount pertaining to the 800 reissued shares: \[ Forfeited Amount on 800 Shares = ₹ 2 × 800 = ₹ 1,600. \] \[ Capital Reserve = ₹ 6,400. \]

NUK Ltd. forfeited 1,000 shares of ₹ 10 each, fully called up for non-payment of final call of ₹ 2 per share. 800 of these shares were reissued at ₹ 11 per share fully paid. The amount credited to Capital Reserve Account will be:

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The Correct Option is A

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