Multiple choice

If the two friends Robert and James have savings in the ratio $ 6 : 10 $ but due to some urgency each has to spend Rs $40$, so their ratio reduces to $ 1 : 2 $. Find the total amount of saving the two friends have initially.

  1. Rs $260$
  2. Rs $360$
  3. Rs $180$
  4. Rs $320$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let initial savings be 6x and 10x. (6x - 40) / (10x - 40) = 1/2. Cross-multiply: 12x - 80 = 10x - 40. 2x = 40, so x = 20. Total initial savings = 16x = 16 * 20 = 320.

AI explanation

Let the initial savings of Robert and James be 6x and 10x. After each spends 40, their remaining amounts are 6x - 40 and 10x - 40, and their new ratio is 1:2, so 2 times (6x - 40) equals 10x - 40. Solving 12x - 80 = 10x - 40 gives 2x = 40, so x = 20. Their total initial savings was 6x + 10x = 16x, which is 16 times 20, or 320.

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