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  • Question
  • A number is decreased by 10% and then increased by 10%. The number so obtained is 10 less than the original number. What was the oiginal number ?


  • Options
  • A. 1000
  • B. 2000
  • C. 3000
  • D. 4000

  • Correct Answer
  • 1000 

    Explanation

    Let the original number be x.

     

    Final number obtained = 110% of (90% of x) =(110/100 * 90/100 * x) = (99/100)x. 

     

    x-(99/100)x=10

    => x =1000


  • Percentage problems


    Search Results


    • 1. The ratio 5 : 4 expressed as a percent equals :

    • Options
    • A. 12.5 %
    • B. 40 %
    • C. 80 %
    • D. 125 %
    • Discuss
    • 2. A's salary is 40% of B's salary which is 25% of C's salary. What percentage of C's salary is A's salary ?

    • Options
    • A. 10
    • B. 20
    • C. 30
    • D. 40
    • Discuss
    • 3. What percent of 7.2 kg is 18 gms ?

    • Options
    • A. .25%
    • B. .5%
    • C. .75%
    • D. 1%
    • Discuss
    • 4. A salesman gets commission on total sales at 9%. If the sale is exceeded Rs.10,000 he gets an additional commission as bonus of 3% on the excess of sales over Rs.10,000. If he gets total commission of Rs.1380, then the bonus he received is:

    • Options
    • A. Rs.180
    • B. Rs.120
    • C. Rs.480
    • D. data insufficient
    • Discuss
    • 5. If A's height is 40% less than that of B, how much percent B's height is more than that of A?

    • Options
    • A. 66.66%
    • B. 76.66%
    • C. 96.66%
    • D. 86.66%
    • Discuss
    • 6. In a History examination, the average for the entire class was 80 marks. If 10% of the students scored 35 marks and 20% scored 90 marks, what was the average marks of the remaining students of the class ?

    • Options
    • A. 25
    • B. 50
    • C. 75
    • D. 100
    • Discuss
    • 7. The ratio of earnings of A and B is 4:5. If the earnings of A increase by 20% and the earnings of B decrease by 20%, the new ratio of their earnings becomes 6:5. What are A's earnings?

    • Options
    • A. Rs.22,000
    • B. Rs.27,500
    • C. Rs. 26,400
    • D. Cannot be determined
    • Discuss
    • 8. 270 candidates appeared for an examination, of which 252 passed. The pass percentage is :

    • Options
    • A. (91 + 1/3)%
    • B. (93 + 1/3 )%
    • C. (97 + 1/3 )%
    • D. (98 + 1/3) %
    • Discuss
    • 9. If the pice of sugar rises from Rs. 6 per kg to Rs. 7.50 per kg, a person, to have no increase in his expenditure on sugar, will have to reduce his consumpion of sugar by

    • Options
    • A. 15
    • B. 20
    • C. 25
    • D. 30
    • Discuss
    • 10. 1100 boys and 700 girls are examined in a test; 42% of the boys and 30% of the girls pass. The percentage of the total who failed is :

    • Options
    • A. 58
    • B. 62 *2/3
    • C. 64
    • D. 67
    • Discuss


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