Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
Let the fixed monthly income be Rs x.
Annual increment be Rs y.
After 4 years, his monthly salary was Rs. 4500
Monthly salary + annual increment of 4 years = 4500
x + 4y = 4500 ...(I)
After 10 years his monthly salary became 5400 rupees
Monthly salary + annual increment of 10 years = 5400
x + 10y = 5400 ...(II)
Subtracting I from II
x + 4y = 4500
x + 10y = 5400
− − −
−6y = −900
∴ y = 150
put y = 150 in equation (I)
x + 4y = 4500
x + 4 × 150 = 4500
x + 600 = 4500
x = 4500 − 600
x = 3900
Thus, the monthly salary = Rs. 3900
Annual increment = Rs.150
APPEARS IN
संबंधित प्रश्न
Solve the following system of linear equations by applying the method of elimination by equating the coefficients
(i)4x – 3y = 4
2x + 4y = 3
(ii)5x – 6y = 8
3x + 2y = 6
Solve the following system of linear equations by using the method of elimination by equating the coefficients: 3x + 4y = 25 ; 5x – 6y = – 9
Solve for x and y : `\frac { ax }{ b } – \frac { by }{ a } = a + b ; ax – by = 2ab`
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
Form the pair of linear equation in the following problem, and find its solution (if they exist) by the elimination method:
Meena went to a bank to withdraw ₹ 2000. She asked the cashier to give her ₹ 50 and ₹ 100 notes only. Meena got 25 notes in all. Find how many notes of ₹ 50 and ₹ 100 she received.
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.
Ajay is younger than Vijay by 5 years. Sum of their ages is 25 years. What is Ajay's age?
Solve the following simultaneous equation.
2x + y = -2 ; 3x - y = 7
Solve the following simultaneous equation.
`2/x + 3/y = 13` ; `5/x - 4/y = -2`
By equating coefficients of variables, solve the following equation.
4x + y = 34 ; x + 4y = 16
A fraction becomes `1/3` when 2 is subtracted from the numerator and it becomes `1/2` when 1 is subtracted from the denominator. Find the fraction.
A fraction becomes `(1)/(3)` when 2 is subtracted from the numerator and it becomes `(1)/(2)` when 1 is subtracted from the denominator. Find the fraction.
If 52x + 65y = 183 and 65x + 52y = 168, then find x + y = ?
Difference between two numbers is 3. The sum of three times the bigger number and two times the smaller number is 19. Then find the numbers.
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 age of the father is twice the sum of the ages of his two children. After 20 years, his age will be equal to the sum of the ages of his children. Find the age of the father.
Evaluate: (1004)3
