Question
A shopkeeper sold an article at a discount of 14%. If he
had given a discount of 8.5% in place of 14%, then he would have earned Rs. 143 more. If the cost price of the article is 20% less than its marked price, then find the cost price of the article.Solution
Let the marked price of the article is Rs. ‘x’. According to the question; 0.915x – 0.86x = 143 Or, 0.055x = 143 Or, x = 143/0.055 = 2600 Cost price of the article = (80/100) × 2600 = Rs. 2,080
If P(A) = 0.7, P(B) = 0.5 and P (B/A) = 0.3, find (i) P(A/B) (ii) P(A ∪ B)?
The vertices of triangle ABC are A(1, 4), B(5, 2) and C(7, 8). Find the coordinates of the centroid and the length of median from A.
Determine the distance between the points (–3, 4) and (5, –2).
- What is the reflection of the point (8, -5) in the line y = 2?
Find coordinates of the point dividing the line joining (–3,2) and (5,8) internally in ratio 3:1.
Find the Perpendicular distance between two lines
6x + 8y = 18, 12x + 16y =20
Which of the following is NOT a known factor to uniquely determine a plane?
If points A(–2, 3) and B(4, –3) are ends of a diameter, find equation of the circle.
A line passes through the point (4, 3) and is perpendicular to the line 3x + 4y = 12. Find the equation of the new line.
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