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Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is
Let the third number be x.
First Number (120/100) × x = 6x/5
Second Number (150/100) × x = 3x/2
Ratio = 6x/5 : 3x/2
=> 4:5
In a mixture 60 litres, the ratio of milk and water 2 : 1. If the this ratio is to be 1 : 2, then the quanity of water to be further added is
Quantity of Milk = 60 × (2/3) = 40 liters
Quantity of water = 60-40 = 20 liters
As per question we need to add water to get quantity 2:1
=> 40/(20+x) = 1/2
=> 20 + x = 80
=> x = 60 liters
If three numbers in the ratio 3 : 2: 5 be such that the sum of their squares is 1862, the middle number will be
Let the numbers be 3x, 2x and 5x.
Then,
9x + 4x + 25x =1862
38x = 1862
x = 49 = x = 7.
middle number = 2x = 14
A dog takes 3 leaps for every 5 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is
Dog : Hare = (3 × 3) leaps of hare : 5 leaps of hare
= 9 : 5
The least whole number which when subtracted from both the terms of the ratio 6 : 7 to give a ratio less than 16 : 21, is
Let x is subtracted.
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