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Q.SAYA Ltd. issued a prospectus inviting applications for 4000 shares. Applications were received for 6000 shares and pro-rata allotment was made to the applicants of 4800 shares. If Kebi has been allotted 80 shares, how many shares she must have applied for?

Manipur CohsemCOHSEM Manipur Higher Secondary Board (Commerce) 2025Subjective· 2mImportance★★★★★
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Pro-rata ratio = Shares applied : Shares allotted = 4800 : 4000 = 6 : 5; applying this to Kebi's allotment of 80 shares gives an application of 96 shares.

Given:

Shares offered by prospectus = 4,000

Total applications received = 6,000

Pro-rata allotment made to the applicants of 4,800 shares (i.e., the entire 4,000 shares on offer were allotted pro-rata to this group of applicants who together applied for 4,800 shares)

Step 1 — Pro-rata ratio:

Ratio of Shares Applied : Shares Allotted = 4,800 : 4,000 = 6 : 5

This means for every 6 shares applied for, only 5 shares were allotted.

Step 2 — Shares applied for by Kebi:

Kebi was allotted 80 shares. Using the same ratio:

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