Question
Rahul spends 25% of his monthly income on rent and 15%
on transport. If 30% of the rent is Rs. 2700 more than 20% of the transport expenses, find his monthly income.Solution
ATQ, Let the monthly income of Rahul = Rs. x Rent = x × 25/100 = Rs. (x/4) Transport = x × 15/100 = Rs. (3x/20) According to the question, (x/4) × (30/100) − (3x/20) × (20/100) = 2700 ⇒ 3x/40 − 3x/100 = 2700 ⇒ (7.5x − 3x)/100 = 2700 ⇒ 4.5x/100 = 2700 ⇒ x = 2700 × (100/4.5) ⇒ x = Rs. 60,000 Monthly income of Rahul = Rs. 60,000
- If sin A = 1/2, then what will be the value of cot² A?
Simplify the following trigonometric expression:
10 cos19∘ sec19∘ − 4cot28∘ tan28...
∆ PQR is right-angled at Q. If ∠R = 60º, then find the value of cosec P.
A tower is 60 meters high. From a point on the ground, the angle of elevation of the top of the tower is 30°. Find the distance of the point from the b...
which of the following is equal to [(tan θ +secθ -1)/ (tanθ-secθ +1)] Â
- Find the value of sin²33° + sin²57° + cos²48° + cos²42°.
Evaluate 3sin x – 4 sin3 x and figure out the correct answer from below option ?
If Sin 3A = Cos (A - 46°) where 3A is acute angle, then the Value of A is
If (5sinx - cosx) = 2√2sinx, then find the value of 'tanx'
What is the simplified value of the given expression?
3(sin² 50° + sin² 40°) + 6sin 30° - (3sec 60° + cot 45°)
Relevant for Exams:
