The given table shows the number of coolers sold and the ratio of the number of coolers sold to the number of ACs sold in six different cities. Find the ratio of total products sold in Mumbai to the number of ACs sold in Patna.

City	Number of coolers sold	Ratio of the number of coolers sold to that of ACs sold
Bangalore	1,700	4 : 1
Mumbai	2,200	11 : 4
Hyderabad	1,800	9 : 7
Chitwan	2,500	25 : 11
Agra	830	17 : 10
Patna	2,800	14 : 11

1. A

   51 : 11

2. B

   13 : 11

3. C

   15 : 11

4. D

   14 : 11

Appeared in: DSSSB 6 September 2024

Explanation

• The question asks for the ratio of total products sold in Mumbai to the number of ACs sold in Patna.
• First, calculate the number of ACs sold in Mumbai using the given ratio (11:4) and coolers sold (2,200), which is (2,200/11) * 4 = 800. The total products in Mumbai are 2,200 (coolers) + 800 (ACs) = 3,000.
• Next, calculate the number of ACs sold in Patna using the ratio (14:11) and coolers sold (2,800), which is (2,800/14) * 11 = 2,200.
• Finally, form the ratio of Mumbai's total products to Patna's ACs: 3,000 : 2,200.
• Simplifying this ratio by dividing both sides by 200 gives the final answer, 15 : 11.

Why Other Options Were Wrong

• Option A: This ratio is incorrect and likely results from a significant calculation error when determining the number of ACs or total products.
• Option B: This ratio is incorrect. It may be the result of a miscalculation, for instance, incorrectly calculating the total products in Mumbai as 2,600 (2600:2200 simplifies to 13:11).
• Option D: This is the ratio of coolers sold to ACs sold in Patna (14:11), not the ratio of total products in Mumbai to ACs in Patna.

Related Visual

Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Application of ratio and proportion in data interpretation from a table as background academic context rather than a clinical decision trigger.
• While this is a mathematics question, the underlying skill of data interpretation is crucial in nursing.
• Nurses regularly interpret data from patient charts, lab reports, and vital sign monitors to make clinical decisions.
• Proficiency in handling ratios and proportions is essential for tasks like medication dosage calculations, titrating IV drips, and understanding epidemiological data.

How to Approach the Question

• First, carefully read the question to identify exactly what ratio is required: (Total products in Mumbai) : (ACs in Patna).
• Break down the problem into smaller parts. You need to find two values before you can form the ratio.
• For Mumbai: Use the given ratio (11:4) and the number of coolers (2,200) to calculate the number of ACs. Then, add the coolers and ACs to get the total products.
• For Patna: Use the given ratio (14:11) and the number of coolers (2,800) to calculate the number of ACs.
• Once both values are calculated, write them as a ratio (Mumbai Total : Patna ACs).
• Simplify the ratio to its lowest terms by dividing both sides by their greatest common divisor.

Concept Tested & Keywords

• Concept Tested: Application of ratio and proportion in data interpretation from a table.
• Stem keywords: coolers sold, ratio, ACs sold, total products, Mumbai, Patna, table
• Lead-in keywords: Find the ratio

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Q4QvB9jSyEvHSKorH_A0YP

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