Multiple choice

The income of Neel and Kamal of last year in the ratio of 4:3 respectively. The ratios of their individual incomes of the last year and the present year are 3:4 and 5:6 respectively. If their total income of the present year is Rs 34840. Then find last year income of Kamal?

  1. 11700

  2. 12700

  3. 13700

  4. 14700

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A Correct answer
Explanation

Let Neel's and Kamal's last year incomes be 4x and 3x respectively. Their present year incomes are in ratio 3:4 and 5:6 respectively, so Neel's present income = 4x·(4/3) = 16x/3, and Kamal's present income = 3x·(6/5) = 18x/5. Total present income = 16x/3 + 18x/5 = (80x + 54x)/15 = 134x/15 = 34840, so x = (34840·15)/134 = 3900. Kamal's last year income = 3x = 3 × 3900 = 11700.