2. Questions Bank
  3. 7th Class
  4. Mathematics
  5. Simple Equations

7th Class Mathematics Simple Equations Question Bank Simple Equation

  • question_answer
    In a quiz, 40 prizes consisting of 1st and 2nd prizes only are to be given. 1st and 2nd prizes are worth Rs. 2500 and Rs. 1500, respectively. If the total prize money is Rs. 85,000, then   
    (i) the equation formed is              
    (ii) the number of 1st prizes are
    (iii) the number of 2nd prizes are
               

    A)
    (i) (ii) (iii)
     \[2500x+1500(40-x)=85000\] 25 15
                   

    B)
    (i) (ii) (iii)
     \[2500x-1500(40-x)=85000\] 36 4
                   

    C)
    (i) (ii) (iii)
     \[2500x\times 1500(x-40)=85000\]                                                                                                                                                                                                                                                                                20 20
                   

    D)
    (i) (ii) (iii)
     \[2500x-1500(x-40)=85000\] 15 25

    Correct Answer: A

    Solution :

              Let the number of 1st prizes be x, Then the number of 2nd prizes \[=40-x\] According to the question, \[2500(x)+1500(40-x)=85000\] \[\Rightarrow \] \[2500x+60000-1500x=85000\] \[\Rightarrow \] \[1000x=25000\Rightarrow x=25\] So, number of 1st prizes = 25 Number of 2nd prizes \[=40-25=15\]


You need to login to perform this action.
You will be redirected in 3 sec spinner