Discussion
Study the following graph which describes the percentage breakup of the total expenditure of four persons (P, Q, R and S) on three items (A, B and C) and answer the question. Please note that any point shown in the middle is the average of the values below and above (e.g., R).
The total expenditure of persons P, R and S on the given three items are ₹ 4000, ₹ 6400 and ₹ 3500, respectively. What is the total expenditure of P on item C, of R on item B and of S on item A?
Answer: C
The total is 5150 rupees. Reading the triangular graph, each point shows the share of the three items. P has 25 % on item A, 50 % on item B and 25 % on item C. R has 12.5 % on A, 37.5 % on B and 50 % on C. S has 50 % on A, 37.5 % on B and 12.5 % on C. P on item C: 25 % of 4000 = 1000. R on item B: 37.5 % of 6400 = 2400. S on item A: 50 % of 3500 = 1750. The sum is 1000 + 2400 + 1750 = 5150. The values were read from the grid lines, with R marked as the midpoint of the values below and above it, as the question notes.
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