CAT 2025 Linear and Quadratic Equations Question (Medium)

Question

Stocks A, B and C are priced at rupees 120, 90 and 150 per share, respectively. A trader holds a portfolio consisting of 10 shares of stock A, and 20 shares of stocks B and C put together. If the total value of her portfolio is rupees 3300, then the number of shares of stock B that she holds, is

Accepted Answer

Let the number of stocks B hold be x So, number of stocks C hold is 20-x So, 10 times 120 90 times x 150 times left 20-x right 3300 or, 1200 90 x 150 left 20-x right 3300 or, 1200 90 x 3000-150x 3300 or, 4200-60x 3300 or, 60x 900 or, x 60 15 So, the number of shares of stock that B hold is 15.

CAT 2025

Quantitative

Linear and Quadratic Equations

Medium

Stocks A, B and C are priced at rupees 120, 90 and 150 per share, respectively. A trader holds a portfolio consisting of 10 shares of stock A, and 20 shares of stocks B and C put together. If the total value of her portfolio is rupees 3300, then the number of shares of stock B that she holds, is

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