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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

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      0.0169 / 0.013=?

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    • A. .13
    • B. .013
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    • D. 13
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    • 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 :

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

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    • A. 3 / 7
    • B. 34
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    • 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
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    • Discuss
    • 6. Find the lowest common multiple of 24, 36 and 40.

    • Options
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    • 7. 
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      .025 in terms of term of rate per cent is?

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    • 9. 
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    • Options
    • A. 2.5%
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    • 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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