Multiple choice

Ratio of the incomes of A, B and C last year was 3 : 4 : 5 The ratio of their individuals incomes of the last year and this year are 4 : 5, 2 : 3 and 3 : 4 respectively If the sum of their present incomes is Rs 78800 then find the present individual income of A, B and C

  1. Rs 10000, Rs 40000, Rs 28800

  2. RS 18000, Rs 28800, Rs 32000

  3. Rs 45000, Rs 12800, Rs 21000

  4. RS 20000, Rs 14600, Rs 44200
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Last year incomes: A=3k, B=4k, C=5k. This year incomes: A=3k*(5/4)=3.75k, B=4k*(3/2)=6k, C=5k*(4/3)=6.66k. Sum = 3.75k + 6k + 6.66k = 16.416k = 78800. Solving for k gives k=4800. Present incomes: A=18000, B=28800, C=32000.

AI explanation

Let the last year's incomes of A, B and C be 3x, 4x and 5x. Using the given year-to-year ratios, their present incomes become (5/4) of 3x for A, (3/2) of 4x for B, and (4/3) of 5x for C, simplifying to 3.75x, 6x and approximately 6.67x respectively. Setting the sum 3.75x + 6x + 6.67x = 78800 gives 16.42x = 78800, which results in x = 4800. Substituting x back into the present income expressions results in approximately Rs. 18000, Rs. 28800 and Rs. 32000 for A, B and C respectively.

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