Question
The ratio of liquor and soda in a mixture of 50 liters
is 3:2. How much soda should be mixed to make the ratio 6:7?Solution
Total mixture = 50 liter Liquor              soda 3         :          2 30                   20 6         :          7 Let x liters of soda be added to the mixture. 30/20+x = 6/7 210 = 120+6x 6x = 90 X = 15 liter
12 of 8 - 9 ÷ 3 × 16 - 17 + 6 of 4 - 15
f(x)=x+ ∣ x ∣ , then the function is:
P can complete a work in 25 days, while Q can complete the same work in 30 days. They work together for 5 days, and then P is replaced by R, who can com...
A particular sum of money, when invested at a simple interest rate, yields Rs. 3,000 as interest after 2 years. The same sum, whe...
A cone has a height of 12 cm and a base radius of 5 cm. A sphere with the same volume as the cone is constructed. What is the radius of the sphere?
Pipe ‘X’ can fill a tank in 20 hours while pipe ‘Y’ can empty it in 24 hours. They were operated alternately starting with pipe ‘X’. Find th...
A shopkeeper sold an article for Rs. 500 after offering a discount of 20%. If he earned a profit of 25%, then find the ratio of cost price to the marked...
If log₂(x) + log₄(x) + log₈(x) = 11, with x > 0, then the value of x is:
20, 247, 447, 620, ?, 885
315 people went to a park. The number of men is 25 more than the number of women and the number of adults is 15 more than the number of children. How ma...