Comprehension

Purana and Naya are two brands of kitchen mixer-grinders available in the local market. Purana is an old brand that was introduced in 1990, while Naya was introduced in 1997. For both these brands, 20% of the mixer-grinders bought in a particular year are disposed off as junk exactly two years later. It is known that 10 Purana mixer-grinders were disposed off in 1997. The following figures show the number of Purana and Naya mixer-grinders in operation from 1995 to 2000, as at the end of the year.

Year199519961997199819992000
Purana120162182222236236
Naya003080124134
Question: 1

How many Naya mixer-grinders were disposed off by the end of 2000?

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Track the decrease in stock year by year to calculate disposals, and verify with the final year’s data.
Updated On: Jul 24, 2025
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Correct Answer: 22

Solution and Explanation

We are told that 20% of the mixer-grinders bought in a particular year are disposed off exactly two years later. Let’s calculate the number of Naya mixer-grinders disposed by the end of 2000.

🔹 Naya was introduced in 1997, so the first disposals happen in 1999

Disposals:
• From 1997 purchases → disposed in 1999:     20% of 1997 Naya = 20% of 30 = 6
• From 1998 purchases → disposed in 2000:     20% of 1998 Naya = 20% of 80 = 16 

Total disposed by end of 2000 = 6 + 16 = \(\boxed{22}\) 

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Question: 2

How many Naya mixer-grinders were purchased in 1999?

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An unchanged stock from one year to the next indicates zero purchases, assuming no disposals mid-year.
Updated On: Jul 24, 2025
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Correct Answer: 50

Solution and Explanation

We are given the number of Naya mixer-grinders in operation at the end of each year. Let’s calculate how many were purchased in 1999.

Approach: Number in operation in 1999 = = Previous year's total (1998) + New purchases in 1999 − Disposals in 1999 

From the table: • Naya in 1998 = 80 • Naya in 1999 = 124 • Disposals in 1999 = 20% of 1997 purchases = 20% of 30 = 6 

So, 124 = 80 + Purchases in 1999 − 6 ⇒ Purchases in 1999 = 124 − 80 + 6 = \(\boxed{50}\) 

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Question: 3

How many Purana mixer-grinders were purchased in 1999?

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Look for stock increases to determine purchases; a stable stock indicates no new units.
Updated On: Jul 24, 2025
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Correct Answer: 0

Solution and Explanation

How many Purana mixer-grinders were purchased in 1999?

Approach:
Number in operation in 1999 = = Number in 1998 + Purchases in 1999 − Disposals in 1999

From the data:
• Purana in 1998 = 208 • Purana in 1999 = 177 • Disposals in 1999 = 25% of 1996 purchases = 25% of 124 = 31

Now apply: 177 = 208 + Purchases − 31 ⇒ Purchases = 177 − 208 + 31 = \(\boxed{0}\)
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Question: 4

How many Purana mixer-grinders were disposed off in 2000?

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A drop in stock to zero from the previous year indicates the total number disposed in that year.
Updated On: Jul 24, 2025
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Correct Answer: 19

Solution and Explanation

How many Purana mixer-grinders were disposed off in 2000?

Approach:
Disposals in 2000 = 25% of 1997 purchases

From the data:
• Purana purchases in 1997 = 76

So, Disposals in 2000 = 25% of 76 = \(\boxed{19}\)
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