Advertisements
Advertisements
प्रश्न
Anil and Sunita have incomes in the ratio 3 : 5. If they spend in the ratio 1 : 3, each saves T 5000. Find the income of each.
Advertisements
उत्तर
Let Anil's income = Rs. x and Sunita's income = Rs. y
According to given information, we have
`x/y = (3)/(5)`
⇒ 5x = 3y
⇒ 5x - 3y = 0 ....(i)
And,
`(x - 5000)/(y - 5000) = (1)/(3)` ....[Expense = Income - Saving]
⇒ 3x - 15000 = y - 5000
⇒ 3x - y = 10000 ....(ii)
Multiplying eqn. (ii) by 3, we get
9x - 3y = 30000 ....(iii)
Subtracting eqn. (i) from (iii), we get
4x = 30000
⇒ x = 7500
⇒ 5(7500) - 3y = 0
⇒ 37500 - 3y = 0
⇒ 3y = 37500
⇒ y = 12500
Hence, Anil's income is Rs.7500 and Sunita's income is Rs.12,500.
APPEARS IN
संबंधित प्रश्न
For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
13x+ 11y = 70
11x + 13y = 74
If 10y = 7x - 4 and 12x + 18y = 1; find the values of 4x + 6y and 8y - x.
The value of expression mx - ny is 3 when x = 5 and y = 6. And its value is 8 when x = 6 and y = 5. Find the values of m and n.
Solve the following simultaneous equations:
13a - 11b = 70
11a - 13b = 74
`4x + 6/y = 15 and 6x - 8/y = 14.` Hence, find a if y = ax - 2.
The ratio of two numbers is `(2)/(5)`. If 4 is added in first and 32 is subtracted from the second, the ratio becomes the reciprocal of the original ratio. Find the numbers.
If 1 is added to the denominator of a fraction, the fraction becomes `(1)/(2)`. If 1 is added to the numerator of the fraction, the fraction becomes 1. Find the fraction.
In a triangle, the sum of two angles is equal to the third angle. If the difference between these two angles is 20°, determine all the angles.
9 pens and 5 pencils cost Rs.32, and 7 pens and 8 pencils cost Rs.29. Find the unit price for each pen and pencil.
Two mobiles S1 and S2 are sold for Rs. 10,490 making 4% profit on S1 and 6% on S2. If the two mobiles are sold for Rs.10,510, a profit of 6% is made on S1 and 4% on S2. Find the cost price of both the mobiles.
