X and Y started a business by investing ₹60,000 and ₹90,000 respectively. After 6 months, X doubled his capital, while Y reduced his capital by ₹30,000. If the total annual profit is ₹62,000, what is Y's share(to the nearest integer)?

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1. Compute time-weighted capitals:
   - X: $60{,}000	imes6 + 120{,}000	imes6 = 1{,}080{,}000$. 
   - Y: $90{,}000	imes6 + 60{,}000	imes6 = 900{,}000$.
2. Ratio X:Y = $1{,}080{,}000:900{,}000 = 6:5$.
3. Y's share = $62{,}000	imes\dfrac{5}{6+5}=62{,}000	imes\dfrac{5}{11}=62{,}000	imes0.4545...=28,181.818...$.
4. Rounded to nearest integer = **₹28,182**.

FINAL_ANSWER: a

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