Multiple choice

Rs. 1400 is divided among three labourers: K, L and M in such a way that the ratio of L's share and K's share is 3 : 2 and the ratio of M's share and L's share is 5 : 4. Which of the following is K's share?

  1. Rs. 220

  2. Rs. 320

  3. Rs. 120

  4. Rs. 160

  5. Rs. 330
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

L/K = 3/2 => L = 1.5K. M/L = 5/4 => M = 1.25L = 1.25(1.5K) = 1.875K. Total = K + 1.5K + 1.875K = 4.375K = 1400. K = 1400 / 4.375 = 320.

AI explanation

To make the ratios uniform, align the ratios of L:K and M:L into a single continuous ratio. For L:K = 3:2 and M:L = 5:4, multiply the first ratio by 4 to get L:K = 12:8, and multiply the second ratio by 3 to get M:L = 15:12. The combined ratio of K:L:M is 8:12:15, making the total 35 parts. K's share is (8/35)*1400, which equals Rs. 320.

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