Question
If the total cost of 9 mangoes and 6 oranges is Rs. 270 and
the total cost of 7 mangoes and 4 oranges is Rs. 200, then find the cost of 5 mangoes.Solution
ATQ,
Let the cost of one mango and one orange be Rs. x and Rs. y, respectively.
ATQ;
9x+6y=270.....(I)
7x+4y=200.....(II)
Multiply Equation (II) by 3 and Equation (I) by 2, then subtract:
21x+12y−18x−12y=600−540
3x=60
x=20
Cost of 5 mangoes = 5×20=100 Rs.
The denominator of a rational number is 4 more than its numerator. If the numerator is increased by 5 and the denominator is decreased by 3, we obtain 3...
- What should be subtracted from 64 and 40 to make the ratio of resulting numbers 3:1?
Sum of squares of three consecutive numbers is 770. Find the sum of first and third number.
A monkey climbs a tower of height 60 m. It climbs 5m above in 1st minute and 4m below in 2nd minute. In how many minutes monkey wi...
Three distinct prime numbers 'p', 'q', and 'r' satisfy (p < q < r). The sum of 'p' and 'q' is 20, and the sum of 'q' and 'r' is 30. Calculate the total ...
Find the sum of the first 25 natural numbers.
- The ratio of the number of boys to the number of girls who are present in a class is 3:2. The number of girls who are absent is 15, which is 25% of the tot...
Find the remainder when 3¹²⁵ is divided by 13.
If the first term is 125 and the common ratio is 2/5, then what will be the fourth term of the geometric progression (GP)?
Relevant for Exams:
