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  • Question
  • A man spends 2/5 of his income on house rent, 3/10 on food and 1/8 on conveyance. If he has ? 2800 left with him, find his expenditure on food and conveyance together.


  • Options
  • A. ? 7000
  • B. ? 5500
  • C. ? 6700
  • D. ? 6800

  • Correct Answer
  • ? 6800 

    Explanation

    Hint 1.
    Let consider the monthly income = x ;
    Amount spend on House rent = 2x/5;
    Amount spend on food = 3x/10;
    Amount spend on conveyance = x/8;
    After Expenditure , The left amount = 2800;

    According to Question;
    x - ( 2x/5 + 3x/10 + x/8 ) = 2800 ;
    x- ((16x + 12x + 5x)/40) = 2800 ;
    x - 33x/40 = 2800 ;
    (40x - 33x)40 = 2800 ;
    7x/40 = 2800 ;
    7x = 2800 x 40 ;
    x = 2800 x 40/7 ;
    x = 400 x 40 ;
    x = 16000 ;

    Expenditure on food = 3x/10 = 3 x 16000 /10= ? 4800
    Expenditure on conveyance = x/8 = 1 x 16000/8 = ? 2000
    ? Expenditure on food and conveyance together
    =? (4800 + 2000) = ? 6800



    Solution 2 .

    part of income left
    = 1 - (2/5 + 3/10 + 1/8 )
    =1- (16 + 12 + 5/40)
    = 1- 33/40 = 40 - 33/40 = 7 /40
    Let the monthly income = x
    According to the question,
    7/40 x = 2800
    ? x = 2800 x 40/7
    = 400 x 40 = ? 16000
    Expenditure on food = 3/10 x 16000 = ? 4800
    Expenditure on conveyance = 1/8 x 16000 = ? 2000
    ? Expenditure on food and conveyance together
    =? (4800 + 2000) = ? 6800


  • More questions

    • 1. A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:

    • Options
    • A. 14 years
    • B. 19 years
    • C. 33 years
    • D. 38 years
    • Discuss
    • 2. 
      A tree increases annually by 1/8 th of its height. By how much will it increase after 2 years, if it stands today 64 cm high?

    • Options
    • A. 72 cm
    • B. 74 cm
    • C. 75 cm
    • D. 81 cm
    • Discuss
    • 3. 
      Vandana invested an amount of ? 8000 in a fixed deposit scheme for 2 yr at the rate of 5% pa compound interest. How much amount will Vandana get on maturity of the fixed deposit?

    • Options
    • A. ? 8000
    • B. ? 8890
    • C. ? 8888
    • D. ? 8820
    • Discuss
    • 4. 4.036 divided by 0.04 gives :

    • Options
    • A. 1.009
    • B. 10.09
    • C. 100.9
    • D. None of these
    • Discuss
    • 5. 
      A man spends 2/5 of his income on house rent, 3/10 on food and 1/8 on conveyance. If he has ? 2800 left with him, find his expenditure on food and conveyance together.

    • Options
    • A. ? 7000
    • B. ? 5500
    • C. ? 6700
    • D. ? 6800
    • Discuss
    • 6. 
      The number obtained by interchanging the digits of a two-digit number is more than the original number by 27 and the sum of the digits is 13. What is the original number ?

    • Options
    • A. 58
    • B. 67
    • C. 76
    • D. 85
    • Discuss
    • 7. 2, 4, 12, 48, 240, (....)

    • Options
    • A. 960
    • B. 1440
    • C. 1080
    • D. 1920
    • Discuss
    • 8. The value of log2 16 is:

    • Options
    • A.
      1
      8
    • B. 4
    • C. 8
    • D. 16
    • Discuss
    • 9. X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

    • Options
    • A. 6 days
    • B. 10 days
    • C. 15 days
    • D. 20 days
    • Discuss
    • 10. 
      At a simple interest, a sum amounts to ? 1012 in 2 1/ 2 and becomes ? 1067.20 in 4 yr. What is the rate of interest

    • Options
    • A. 2.5%
    • B. 3%
    • C. 4%
    • D. 5%
    • Discuss


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