Question
Income of Samar is 50% more than the expenditure of
Tanu. Income of Tanu is 20% more than the expenditure of Samar. If savings of Tanu is Rs. 1,600 less than that of Samar and ratio between expenditure and savings of Samar is 5:2, respectively, then find the income of Tanu.Solution
Let the expenditure of Tanu be Rs. ‘2x’
So, income of Samar = 2x × (3/2) = Rs. ‘3x’
Let the expenditure of Samar be Rs. ‘5y’
So, income of Tanu = 5y × (6/5) = Rs. ‘6y’
So, savings of Samar = 5y × (2/5) = Rs. 2y
ATQ;
3x – 5y = 2y
Or, 3x = 7y
Or, x = (7y/3)
Since, savings of Tanu is Rs. 1,600 less than that of Samar.
6y – 2x = 2y – 1600
On putting x = (7y/3):
6y – 14y/3 = 2y – 1600
Or, 4y/3 = 2y – 1600
Or, 2y/3 = 1600 ⇒ y = 2400
So, income of Tanu = 6 × 2400 = Rs. 14,400
If x² + x = 11
find (x+4)³ +1/((x+4)³)
- 12% of 25% of ‘A’ is equal to 40% of 15% of ‘B’. Find the value of (A + B):(A – B).
If for non-zero x, x² - 4x - 1 = 0, what is the value of x² + 1/x²?
If 112 ÷28 x 22 –12 x 6 ÷ 3 +12 = z, then find the value of z.
- If 2x + 4y - 9 = 0, then find the value of 8x 3 - 723 + 64y 3 + 216xy.
3x +3y =10 and 3x+y =5 then find the value of 3x-y +3y-x.
A dishonest dealer claims to sell goods at cost price but uses a false weight of 900g instead of 1kg. What is his profit percentage?
= ?If (a2 + 1/a2) = 51, then find the value of (a3 - 1/a3).
Relevant for Exams:
