Question
The ratio of income of 'P' to that of 'Q' is 3:4. Sum of
their expenditures is Rs. 72,000. Savings of 'P' is 25% more than that of 'Q'. Expenditure of 'P' is 40% of the sum of income of 'P' and 'Q'. Find the income of 'Q'. (Calculate approximate value)Solution
Let incomes: P = 3x Q = 4x Given: P's expenditure = 40% of (3x + 4x) = 0.4 × 7x = 2.8x Total expenditure = ₹72,000 P’s savings = 25% more than Q’s savings = (3x − 2.8x) = 1.25(4x − E₂) Use savings equation 0.2x = 1.25(4x − E₂) = 0.16x = 4x − E₂ = E₂ = 4x − 0.16x = 3.84x Total expenditure E₁ + E₂ = 2.8x + 3.84x = 6.64x = ₹72,000 = x = 72000 / 6.64 = ₹10,843.37 Q's income = 4x = 4 × 10,843.37 = ₹43,373.48 or ₹43,373 (approx)
- A triangle has a base of 22 cm and the corresponding height is 9.5 cm. Calculate its area.
- The sides of a triangle are in the ratio 7:24:25. If the area of the triangle is 336 cm², what is the perimeter of the triangle?
The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is the area of the triangle?
Two sides of a triangle are 10 cm and 15 cm. Which of the following can be the third side of the triangle?
In a right-angled triangle, the hypotenuse is 20 cm, and one of the legs is 12 cm. Find the area of the triangle.
An equilateral triangle ABC is surmounted on a square BCDE whose area is 500 cm². Find the altitude of triangle ABC.
A triangle and a parallelogram have the same base 42 cm and the same area. If the height of the parallelogram is 14 cm, then find the length of the alti...
- The sides of two similar triangles are in the ratio 5:7. The areas of these triangles are in the ratio:
- Determine the area of a triangle if its base measures 19.2 cm and its corresponding height is 24.5 cm.
Two triangles DEF and XYZ are congruent to each other such that DE = 10 cm, YZ = 24 cm, and ∠DEF = ∠XYZ = 90⁰. Find the circumradius of ΔDEF.
...
