Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: 2010 · Marks: · Difficulty:
Weekly incomes of two persons are in the ratio of 7 : 3 and their weekly expenses are in the ratio of 5 : 2. If each of them saves ` 300 per week, find their weekly incomes.
Answer
Answer (as printed):
Explanation
Let the incomes of the two persons be ` 7x and ` 3x and their expenses be ` 5y and ` 2y respectively. Then, 4 7x – 5y = 3x – 2y ⇒ 4x = 3y ⇒ y = x. 3 4 Now, 7x – 5y = 300 ⇒ 7x – 5 × x = 300 3 20 x ⇒ 7x – = 300 ⇒ x = 900. 3 \ Weekly income of first person = ` (7 × 900) = ` 6300. Weekly income of second person = ` (3 × 900) = ` 2700.
Explanation as extracted from the printed page; notation may be imperfect.