Arithmetic and Geometric Progressions

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Combo of Ratios and Progressions

Ratio of Amounts

    The salaries earned by two friends Anil and Jeetu in different years are in A.P. If the ratio of the amount earned by them in ‘p’ number of years are (4p+1) : (2p+17). Then find the ratio of amount earned by them in the 7th year.
    1. (2p+1) : (4p+6)
    2. 53 : 43
    3. 4 : 7
    4. 15p : 36p

 

  • Correct Answer
    Choice B. 53:43

Detailed Solution

Let a1, a2 be the salaries of their first year and d1 and d2 be the difference between salaries of two consecutive years.

Now, the sum of p terms of their salaries are

Sp =

S'p =



-------------------- (1)

Now,
Ratio of Salaries earned by them in the 7th year

=

= (Multiplying and Dividing by 2)

=

=

= 53 : 43

Correct Answer: 53 : 43



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More questions from Progressions

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  3. Common Difference
  4. Sum up to 'n' Terms
  5. AP Puzzle
  6. GP Logical Puzzle
With some simple but very powerful ideas, one can cut down on a lot of working when it comes to progressions. For example, anchoring a progression around its middle term can be very useful. Reinforce these ideas with these questions.