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  • Question
  • A man saves ? 145000 in ten years. In each year after the first year. he saved ? 2000 more than he did in the proceeding year. How much did he save in the first year?


  • Options
  • A. ? 5000
  • B. ? 5500
  • C. ? 6000
  • D. ? 6500

  • Correct Answer
  • ? 5500 

    Explanation

    Let the man first save ? P in the first year.
    Then, the given sequence is P + (P + 2000) + (P + 4000) + ..,
    which is an AP with a = P , d = (P + 2000) - P = 2000,
    n = 10, Sn = 145000

    Sn = n/2[2a + (n - 1)d]
    ? 145000 = 10/2 [2 x P + 9 x 2000] = 5 [2P + 18000]
    ? 2P + 18000 = 145000/5 = 29000
    ? 2P = 29000 - 18000
    ? 2P = 11000
    ? P = ? 5500
    So, the man save ? 5500 in the first year .


  • More questions

    • 1. 
      0.0169 / 0.013=?

    • Options
    • A. .13
    • B. .013
    • C. 1.3
    • D. 13
    • Discuss
    • 2. 
      Two posts are x meter apart and the height of one is double that of the other. If from the midpoint of the line joining their feet, an observer finds the angular elevations of their tops to be complementary, then the height (in meter) of the shorter post is :

    • Options
    • A. x 2 ?2
    • B. x 4
    • C. x ?2
    • D. x ?2
    • Discuss
    • 3. 
      If p/q =4/5, then the value of 4/7 + {(2q - p) / (2q + p)} is?

    • Options
    • A. 3 / 7
    • B. 34
    • C. 1
    • D. 2
    • Discuss
    • 4. 
      What is 25% of 25% is equal to?

    • Options
    • A. 6.25
    • B. .625
    • C. .0625
    • D. .000625
    • Discuss
    • 5. 
      The number .05 is hoe many percent of 20?

    • Options
    • A. 25
    • B. .025
    • C. .25
    • D. 2.5
    • Discuss
    • 6. Find the lowest common multiple of 24, 36 and 40.

    • Options
    • A. 120
    • B. 240
    • C. 360
    • D. 480
    • Discuss
    • 7. 
      8 1/ 3% expressed as a fraction is?

    • Options
    • A. 25/3
    • B. 3/25
    • C. 1/12
    • D. 1/4
    • Discuss
    • 8. 
      .025 in terms of term of rate per cent is?

    • Options
    • A. .25%
    • B. 2.5%
    • C. 0.25%
    • D. 371/2%
    • Discuss
    • 9. 
      What percentage of 2/7 is 1/35?

    • Options
    • A. 2.5%
    • B. 10%
    • C. 25%
    • D. 20%
    • Discuss
    • 10. 
      A sum of ? 4000 is lent out in two parts, one at 8% simple interest and other at 10% simple interest. If the annual interest is ? 352, the sum lent at 8% is

    • Options
    • A. ? 1600
    • B. ? 2400
    • C. ? 1800
    • D. ? 2800
    • Discuss


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