Stock Portfolio Evaluation

CAT 2025 Slot 1 · Quantitative Ability · Easy · Algebra

This is an easy Quantitative Ability question from the CAT 2025 Slot 1 paper. It tests Algebra. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

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

Answer

15

Explanation

Let the trader hold xx shares of B. Then she holds (20x)(20 - x) shares of C. Value of Stock A = 10×120=120010 \times 120 = 1200. Total portfolio value = 1200+90x+150(20x)=33001200 + 90x + 150(20 - x) = 3300. 1200+90x+3000150x=33001200 + 90x + 3000 - 150x = 3300 420060x=3300    60x=900    x=154200 - 60x = 3300 \implies 60x = 900 \implies x = 15. Thus, she holds 15 shares of stock B.

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