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If 10,000 shares of ₹10 each were forfeited for non-payment of final call money of ₹3 per share andonly 7,000 of these shares were re-issued @₹ 11 per share as fully paid up, then what is the minimumamount that company must collect at the time of re-issue of the remaining 3,000 shares?a) ₹ 21,000b) ₹ 9,000c) ₹ 16,000d) ₹ 30,000

Question

If 10,000 shares of ₹10 each were forfeited for non-payment of final call money of ₹3 per share andonly 7,000 of these shares were re-issued @₹ 11 per share as fully paid up, then what is the minimumamount that company must collect at the time of re-issue of the remaining 3,000 shares?a) ₹ 21,000b) ₹ 9,000c) ₹ 16,000d) ₹ 30,000

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Solution

The total amount unpaid on the forfeited shares is 10,000 shares * ₹3 per share = ₹30,000.

When 7,000 of these shares were re-issued at ₹11 per share, the company collected 7,000 shares * ₹11 per share = ₹77,000.

However, since these shares were already paid up to ₹7 per share (₹10 original price - ₹3 unpaid), the company only needed to collect an additional ₹4 per share. So, the actual amount collected for the unpaid portion is 7,000 shares * ₹4 per share = ₹28,000.

This means the company still needs to collect ₹30,000 - ₹28,000 = ₹2,000 for the unpaid portion of the forfeited shares.

Since there are 3,000 shares left to re-issue, the minimum amount the company must collect at the time of re-issue is ₹2,000 / 3,000 shares = ₹0.67 per share.

However, since the shares must be re-issued as fully paid up, the company must also collect the original ₹7 per share that was already paid before the shares were forfeited. So, the minimum amount the company must collect at the time of re-issue is ₹7 per share + ₹0.67 per share = ₹7.67 per share.

Therefore, the minimum amount that company must collect at the time of re-issue of the remaining 3,000 shares is 3,000 shares * ₹7.67 per share = ₹23,010.

However, this amount is not listed in the options. There may be a mistake in the question or the options.

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