What was the total number of households met by Tohri, Hokli and Lahur on the first day?
Explanation:
From (4): Let Tohri visit x houses on day 1, hence he visits (x + 30) houses on day 2. ⇒ Total houses visited in 2 days = 2x + 30
Let Tohri visit n houses on day 2, hence he visits (100 – n) houses on day 1.
From (1) & (2): Lahur visited half the total houses on both days = x + 15 From (2): Lahur sold half the products on each day = 50
From (1) & (3): Hokli sold all 100 items on day 1, while he visited only 1 house on day 2. Hence he visited (2x + 29) houses on day 1.
From (5): 100-nx = 250x+15
⇒ 100x + 1500 – nx – 15x = 100x ⇒ nx + 15x = 1500
⇒ n = 1500x+15 ...(1)
From (5): nx+30 = 3450x+15
⇒ 4nx + 60n = 150x + 4500
⇒ 4x × 1500x+15 + 60 × 1500x+15= 150x + 4500
⇒ 4x × 10x+15 + 60 × 10x+15 = x + 30
⇒ 40x + 600 = (x + 15)(x + 30)
⇒ 40x + 600 = x2 + 45x + 450
⇒ x2 + 5x - 150 = 0
⇒ (x + 15)(x - 10) = 0
⇒ x = 10 (-15 is rejected)
From (1)
⇒ n = 1500x+15 = 60
∴ The table can be filled as follows:
∴ Total number of households met by Tohri, Hokli and Lahur on the first day = 10 + 49 + 25 = 84.
Hence, 84.
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