The quantity that must be added to each term of a : b, so as to make it c : d, is

ab - cd/a - b
ac + bd/c + a
ad + bc/c + d
ad - bc/c - d

Correct Answer: ad - bc/c - d

Explanation:

Let the quantity be k.
Then, (a + k) / (b + k) = c/d
⇒ (a + k)d = (b + k)c
⇒ ad + dk = bc + ck
⇒ ad - bc = ck - dk
⇒ ad - bc = k(c - d)
∴ k = (ad - bc) / (c - d)

← Previous Question Next Question→

More Questions from Ratio and Proportion

A sum of ₹ 7000 is divided among A, B, and C in such a way that the shares of A and B are in the ratio 2 : 3 and those of B and C are in the ratio 4 : 5, The ahare of B is
A sum of money is divided among A, B, C and D in the ratio of 3 : 7 : 9 : 13 . If the share of B is ₹, then what will be the total amount of money of A and C together?
The ratio between the ages of A and B is 3 : 5 and the sum of their ages is 56 yr. The ratio between their ages 7 yr ago was
The ratio of the ages of a father to that of their ages (in years) is 1000, then find the father's age after 10 yr.
35% of a number is two times 75% of another number. What is the ratio between the first and the second number, respectively?
The ratio of milk and water in 85 kg of adulterated milk is 27 : 7. The amount of water which must be added to make the ratio 3 : 1 is?
Rs. 1870 has been divided into three parts in such away that half of the first parts, one-third of the second parts, and one-sixth of the third parts are equals. The third parts is?
In a town 80% of the population are adults of which the men and women are in the ratio of 9 : 7, respectively. If the number of adult women is 4.2 lakh, what is the total population of the town?
Mr. Shrimant inherits 2505 gold coins and divides them among his three sons, Bharat, Parat and Marat, in a certain ratio. Out of the total coins received by each of them, Bharat sells 30 coins Parat donates his 30 coins and Marat losses 25 coins. Now the ratio of gold coins with them is 46 : 41 : 34, respectively. How many coin did Parat receive from his father?
₹ 600 are divided among A, B and C such that ₹ 40 more then 2/5th of A's share, ₹ 20 more then 2/7 th of B's Share and ₹ 10 more then 9/17 th of C's share, all are equal. What is B's share?

Discussion & Comments

No comments yet. Be the first to comment!

Join Discussion