Question
An integer 'p' is added to each of 7, 15, 27 and 45 so
that the resulting numbers will be in proportion in given order only. Find the value of '(p + 4)'.Solution
Let 'p' be the number that must be added to each of the given numbers so that they become proportional. i.e. (7 + p) :(15 + p) ::(27 + p) :(45 + p) So, (7 + p) ÷ (15 + p) = (27 + p) ÷ (45 + p) Or, (7 + p) (45 + p) = (27 + p) (15 + p) Or, 315 + 7p + 45p + p2 = 405 + 27p + 15p + p2 Or, 315 + 52p = 405 + 42p Or, 10p = 90 Or, 'p' = 9 Required value = p + 4 = 9 + 4 = 13
The boys and girls in a college are in the ratio 3:2. If 15% of the boys and 25% of the girls are adults, then adults are approximately how much % less ...
What number has to be added to each term of 5:6 to make the ratio 7:8?
The ratio of the incomes of Vineet and Vidya is 8:5 respectively. Vineet saves 25% of his income while Vidya saves 20% of his income. The sum of their e...
The ratio of number of boys to number of girls of a class was 2:5. If 4 girls were absent, the ratio becomes 3:7. Find total number of students in the c...
There are 70 rupees in a box which contains coins of 1 rupee, 50 paise, and 25 paise. If the number of 50 paise coins is 2 times the number of 25 paise ...
The sum of the first, second, and third numbers is 231. The first and second numbers are in a 3:5 ratio, and the second and third...
The ratio of number of boys and girls in a factory of 600 workers is 7:3. How many more girls should be joined to make the ratio 1:1?
Marks scored by A and B in a test are in the ratio 15:7 respectively. If B had scored 10 more marks, then marks scored by A would be 25% more than that ...
The ratio of the number of English books to Hindi books in a library shelf is 5:4. If 140 Hindi books are written by Pradeep, which constitutes 20% of t...
A sum of money is divided in the ratio of 4:9. If the larger part is 153. Find the smaller part.
