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Question
Ali bought 500 shares of company X at Tk. 600 and 2 months later bought another 250 shares of the same company at Tk. 560. At which price should he purchase additional 250 shares in order to have an average price of Tk. 580 per share?
600
580
560
570
None of these
ANSWER : 3
Descrption
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Let the purchase price of the 250 shares be X. Then the total number of shares will be (500 + 250 + 250 = 1000).</span></p> <p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Total price of 1000 shares will be = 580×1000 = 580000 TK.</span></p> <p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">So, 500×600 + 250×560 + 250×X = 580000</span></p> <p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">or, 250X = 580000 - 300000 - 140000</span></p> <p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">or, 250X = 140000</span></p> <p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">or, X = 140000/250 = <strong>560 TK</strong></span></p>
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