Multiple choice

Annual incomes of Amit and Veeri are in the ratio 3:2, while the ratio of their expenditure is 5:3. If at the end of the year each saves Rs 1000, the annual income of Amit is - अमित तथा वीरी की वार्षिक आय 3 : 2 के अनुपात में हैं, जबकि उनका खर्च 5 : 3 के अनुपात में है। तदनुसार, यदि उनमें, प्रत्येक की वर्ष के अंत में बचत रू 1000 हो, तो अमित की वार्षिक आय कितनी है?

  1. Rs 9000

  2. Rs 8000

  3. Rs 7000

  4. Rs 6000

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Amit's income = 3x, Veeri's income = 2x. Amit's expenditure = 5y, Veeri's expenditure = 3y. Savings = Income - Expenditure. For both: 3x - 5y = 1000 and 2x - 3y = 1000. Solving: From second equation, 2x = 1000 + 3y, so x = 500 + 1.5y. Substituting in first: 3(500 + 1.5y) - 5y = 1000, giving 1500 + 4.5y - 5y = 1000, so -0.5y = -500, y = 1000. Then x = 500 + 1500 = 2000. Amit's income = 3x = 3 × 2000 = Rs 6000. Option A (9000) uses incorrect ratio values.