हिंदी

Rehana went to a bank to withdraw ₹ 2000. She asked the cashier to give her ₹ 50 and ₹ 100 notes only. Rehana got 25 notes in all. Find how many notes of ₹ 50 and ₹ 100 did she received.

Advertisements
Advertisements

प्रश्न

Rehana went to a bank to withdraw ₹ 2000. She asked the cashier to give her ₹ 50 and ₹ 100 notes only. Rehana got 25 notes in all. Find how many notes of ₹ 50 and ₹ 100 did she received.

योग
Advertisements

उत्तर

Let the number of ₹ 50 notes and ₹ 100 notes be x and y respectively

According to the given information,

x + y = 25   ...(1)

50x + 100y = 2000   ...(2)

Multiply equation (1) by 50 we obtain

50x + 50y = 1250   ...(3)

Subtracting equation (3) from equation (2), we obtain

50y = 750

y = 15

Substituting in equation (1), we have x = 10

Hence, Rehana has 10 notes of ₹ 50 and 15 notes of ₹ 100.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2023-2024 (March) Standard Official

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

Solve the following system of equations by using the method of elimination by equating the co-efficients.

`\frac { x }{ y } + \frac { 2y }{ 5 } + 2 = 10; \frac { 2x }{ 7 } – \frac { 5 }{ 2 } + 1 = 9`


Solve the following system of linear equations :

2(ax – by) + (a + 4b) = 0

2(bx + ay) + (b – 4a) = 0


Solve (a – b) x + (a + b) y = `a^2 – 2ab – b^2 (a + b) (x + y) = a^2 + b^2`


Solve the following pair of linear equation by the elimination method and the substitution method:

x + y = 5 and 2x – 3y = 4


Two types of boxes A, B are to be placed in a truck having a capacity of 10 tons. When 150 boxes of type A and 100 boxes of type B are loaded in the truck, it weighes 10 tons. But when 260 boxes of type A are loaded in the truck, it can still accommodate 40 boxes of type B, so that it is fully loaded. Find the weight of each type of box.


Sanjay gets fixed monthly income. Every year there is a certain increment in his salary. After 4 years, his monthly salary was Rs. 4500 and after 10 years his monthly salary became 5400 rupees, then find his original salary and yearly increment.


Solve the following simultaneous equation.

x + y = 11 ; 2x - 3y = 7 


Solve the following simultaneous equation.

`2/x + 3/y = 13` ; `5/x - 4/y = -2`


The semi perimeter of a rectangular shape garden is 36 m. The length of the garden is 4 m more than its breadth. Find the length and the breadth of the garden.


The angles of a cyclic quadrilateral ABCD are ∠A = (6x + 10)°, ∠B = (5x)°, ∠C = (x + y)°, ∠D = (3y – 10)°. Find x and y, and hence the values of the four angles. 


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×