Multiple choice

Two brothers A and B had some savings in the ratio of 4 : 5. They decided to buy a gift for their sister, sharing the cost in the ratio of 3 : 4. After they bought the gift, A spent two-third of his amount while B was left with Rs. 26. Then, the price of the gift was

  1. Rs. 140

  2. Rs. 116

  3. Rs. 112

  4. Rs. 105

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let initial savings be 4x and 5x. Gift cost is 3y and 4y. A spent 2/3 of his money, so 2/3 * 4x = 3y, 8x = 9y, x = 9y/8. B is left with 5x - 4y = 26. Substituting x: 5(9y/8) - 4y = 26. 45y/8 - 32y/8 = 26. 13y/8 = 26, y = 16. Gift cost = 3y + 4y = 7y = 7 * 16 = 112.