A Jar contains a mixture of Milk and Water 18 and 12 Liters respectively. When ‘x’ liter of the mixture is taken out and replaced with the same quantity of Water, then the ratio of Milk and Water becomes 2:3. Then what is the quantity of Water in final Mixture?
(18-x*18/30)/(12- x*12/30+x) =2/3
x = 10
Water = 12+3/5*10 = 18
Using formula rest quantity = x(1-y/x)
A seller calculated his intended selling price at 6% profit on the cost of a product. However, owing to some mistake while selling, the units and tens digits of the selling price got interchanged. This reduced the profit by Rs. 180 and profit percentage to 2.4%. What is the cost price of the product ?
Tap A fills a tank in 40 minutes while tap C empties it at 1/3rd the rate at which A fills it. At 12 : 00 noon, A and C are simultaneously started and when the tank is 50% full, tap A is turned off. At what time will the tank be empty?
A money-lender borrows money at 4% per annum and lends it at 6% per annum compound interest compounded half yearly and thus gains Rs. 209 in a year. The amount of money he borrows, is ?
Two trains 200 m and 160 m long, run at the rate of 60 km/h and 100 km/h respectively on parallel rails. How long will it take a man sitting in the second train to pass the first train if they run in the opposite direction?
A runs 3 2/3 times as fast as B. If A gives B a start of 80 m. How far must the winning post be from the starting point of A so that A and B reach it at the same time?
Sum of the twice the age of Surya and his Father age is 79. Sum of the twice the age of Father and Surya’s age is 104. The average of Surya, his Father and his Mother is 32. Then what is the age of his mother
2S+F = 79
2F+S = 104
S =18 F = 43
18+43+M/3 = 32
What is the volume of a right cone whose cross section is isosceles triangle with a base 10cm and slant height 13cm ?
lb+lb = lh+hb+lh+hb
2lb = 2h(l+b)
h = lb/l+b
h=15*6/15+6 = 4.29 c
A circular wire of diameter 42cm is folded in the shape of a rectangle whose sides are in the ratio 6:5. Find the ratio of the enclosed rectangle ?
Radius = 42/2 = 21cm
Circumference = 2*22*21/7 = 132cm
L:b = 6x:5x
Perimeter of the rectangle = 2(6x+5x) = 22x
22x = 132
X = 6
Area = 6x * 5x = 30x*x
=30*6*6 = 1080cm2
In a School, 40% of the students are female and thus the no of boys exceed the no of girls by 40.Find the total no of students?