Question
The salaries of A and B are in the ratio 5 : 7. They
both get an increment of ₹6000 each, and their new salaries are in the ratio 3 : 4. Find their original salaries.Solution
Let original salaries be 5x and 7x. After increment: A’s new salary = 5x + 6000 B’s new salary = 7x + 6000 Given ratio: (5x + 6000) : (7x + 6000) = 3 : 4 ⇒ (5x + 6000)/(7x + 6000) = 3/4 Cross-multiply: 4(5x + 6000) = 3(7x + 6000) 20x + 24000 = 21x + 18000 24000 − 18000 = 21x − 20x 6000 = x So original salaries: A = 5x = 5 × 6000 = ₹30,000 B = 7x = 7 × 6000 = ₹42,000 Hence, ₹30,000 and ₹42,000 are there original salaries.
Which of the following expressions will be true if the expression ‘N ≥ O > P ≥ Q’ is definitely true?
Statement: X > W = P; X > G > F; X < O
Conclusion: I. F < W II. P ≤ F
In the question, assuming the given statements to be true, find which of the conclusion (s) among given two conclusions is /are definitely true and the...
Statements: A ≤ B = C ≥ D > E > F; F = G ≥ H = I > J > K = L
Conclusions:
I. B > F
II. H = L
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and t...
Statements: O > Q < R > P = S ≥ T > U ≥ N
Conclusion
I: T < R
II: S > N
Statements: A @ Z, Z # L, L % N, N @ U
Conclusions:
I. A @ N
II. Z @ U
III. A # L
Statement: J > K ≥ C = D ≤ Y < Z
Conclusions:
I. Z > C
II. J ≥ Y
III. J > D
IV. C > Z
...Statements: U ≥ V = W; V > X ≥ Y; X ≥ Z < T
Conclusions
I. T > Y
II. Z < U
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and ...