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Explanation:

Let the price of a smaller shirt be Rs. p. Hence, price of a larger shirt will be Rs. (p + 50).

5000p+50 + 1800p = 64

⇒ 6800p + 90000 = 64p2 + 3200p

⇒ 4p2 - 225p - 5625 = 0

⇒ 4p2 - 300p + 75p - 5625 = 0

⇒ (4p + 75)(p - 75) = 0

⇒ p = 75 or -75/4 (rejected)

⇒ Price of a smaller and a larger shirt = 75 + (75 + 50) = 200

Hence, option (b).

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