A man gets an annual pay of Rs 9.0 lakh. His expenditure and savings are in…
2024
A man gets an annual pay of Rs 9.0 lakh. His expenditure and savings are in the ratio 5:1. What is his average savings per month?
Answer: B. Rs 12,500 — Concept: When a quantity is shared in the ratio a : b, the whole is first cut into (a + b) equal parts. A named share is not a fraction of the other share —…
- A.
Rs 15,000
- B.
Rs 12,500
- C.
Rs 16,000
- D.
Rs 18,000
Attempted by 21 students.
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Correct answer: B
Concept: When a quantity is shared in the ratio a : b, the whole is first cut into (a + b) equal parts. A named share is not a fraction of the other share — it is that many parts out of the total, so share = (its number of parts) ÷ (a + b) × whole.
Applying this to an annual pay of Rs 9,00,000 shared between expenditure and savings in the ratio 5 : 1:
Total parts = 5 + 1 = 6, so savings is 1 part out of 6.
Annual savings = (1/6) × Rs 9,00,000 = Rs 1,50,000.
Average monthly savings = Rs 1,50,000 ÷ 12 = Rs 12,500.
Cross-check: Expenditure = (5/6) × Rs 9,00,000 = Rs 7,50,000. Then Rs 7,50,000 + Rs 1,50,000 = Rs 9,00,000, and Rs 7,50,000 : Rs 1,50,000 = 5 : 1, so both conditions of the question hold. Working month-wise gives the same figure: Rs 9,00,000 ÷ 12 = Rs 75,000 per month, and Rs 75,000 ÷ 6 = Rs 12,500.
Contrast: Dividing by 5 instead of 6 — that is, reading the savings part as one-fifth of the whole pay rather than as one part out of six — gives Rs 1,80,000 a year, or Rs 15,000 a month. The 5 in the ratio counts expenditure parts only, not the total.