The marks of a student were entered as 88 instead of 68. Due to this, the average marks of the class increased by 0.5. What is the number of students in the class?
To find the number of students n: The error increased total marks by 88-68 = 20. This caused an average increase of 0.5 marks per student. ATQ- 0.5× n = 20. n= 20/0.5 = 40. Thus, the number of students is 40
A shopkeeper marks up the price of an article by 50% and offers two successive discounts of 20% and 15% and gain ₹80, then find the cost price of the ...
Ten years from now, the ages of A and B will be in a ratio of 7:9. C's current age is half of B's current age. Five years from now, the ratio of C's age...
How many Kg of rice costing rupees 19 per kg must be mixed with 26 Kg of rice costing Rs.25 per Kg, so that there may be a gain of 17.5% by selling the ...
Find the area of the triangle whose vertices are (3, 6), (– 3, 2) and (4, 1).
I. 3x2 – 15x + 18 = 0
II. 2y2 – 40y + 198 = 0
From a point on the ground, the angle of elevation to the top of a building is 30 degrees. If the distance between the point and the base of the buildin...
A shopkeeper marks a product at 20% above the cost price. He then offers a discount of 15% on the marked price. If he still makes a profit of ₹200, wh...
The average age of a group of 5 men is 30 years. If one man aged 35 leaves and a new person joins the group, raising the average age by 1 year, find the...
A car travels 360 km in 4 hours. At the same speed, how far will it travel in 7 hours?
In order that the lines y = x + 1, 2x - 3y + 5 = 0 and 3x - y + m = 0 may meet in a point, the value of m should be: