+91-8076753736 support@wiredfaculty.com
logo
logo

Sponsor Area

Linear Equations In One Variable

Question
CBSEENMA8002202
Wired Faculty App

Lakshmi is a cashier in a bank. She has currency notes of denominations Rs 100, Rs 50 and Rs 10, respectively. The ratio of the number of these notes is 2 : 3 : 5. The total cash with Lakshmi is Rs 4,00,000. How many notes of each denomination does she have?

Solution

Let the number of:
                   Rs 100-notes = 2x
                     Rs 50-notes = 3x
                      Rs 10-notes = 5x

∴                 Value of Rs 100-notes = 2x cross times Rs 100 = Rs 200x
                   Value of Rs 50-notes = 3x cross times Rs 50 = Rs 150x
   Value of Rs 10 we have 10-notes = 5x cross times Rs 10 = Rs 50x
 
According to the condition, we have
       Rs 200x + Rs 150 x + Rs 50x = Rs 4,00,000
or                           200x + 150x +50x = 400000
or                                        400x = 400000
    Dividing both sides by 400, we have
                                            x = 400000 divided by 400 = 1000

∴                                       2x = 2 cross times 1000 = 2000
                                         3x = 3 cross times 1000 = 3000
                                         5x = 5 cross times 1000 = 5000
Thus, the number of
                                  Rs 100-notes =2000
                                      Rs 50-notes = 3000
                                      Rs 10-notes = 5000
   

 

Some More Questions From Linear Equations in One Variable Chapter

Solve the following equation:

x-2=7

Solve the following equation:

y + 3 = 10

Solve the following equation:

6 = z + 2

Solve the following equations:

x - 2 = 7

Solve the following equation:

6 = z + 2

Mock Test Series

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation