Multiple choice

A shopkeeper buys two types of rice A and B. Rice A costs 50 kg at Rs1600 and Rice B costs 60 kg for Rs 2400. Rice A and B are mixed and it costs Rs35 per kg. By chance the ratio in which A and B are mixed the shop keeper and his son present age is in the same ratio. If after ten years their age ratio is 3:2. Then find the age of father.

  1. 50 years

  2. 40 years

  3. 60 years

  4. 70 years

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

First solve the mixture problem: Rice A = 1600/50 = Rs 32/kg. Rice B = 2400/60 = Rs 40/kg. Mixed at Rs 35/kg. Using allegation: (40-35):(35-32) = 5:3 = 3:5 ratio. For ages: Father:Son = 5:3. After 10 years: (5x+10)/(3x+10) = 3/2. Solving: 10x + 20 = 9x + 30 → x = 20. Father = 5 × 20 = 60 years.

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