Multiple choice

Passage

Directions: Study the following data to answer the questions that follow. There are two companies namely A and B, which sell chairs, tables and wardrobes in 3 months August, September and October. The ratio of chair, tables and wardrobes sold by A in August is 42:36:23 while ratio of chairs sold by A in August, September and October is 14: 23 : 27. Wardrobes sold by A in August is 230 less than chairs sold in September by A. In September 665 chairs, 400 tables and 210 wardrobes were sold by two companies together. B sold same number of chairs in Aug and September Number of tables sold by company B in September was equal to number of chairs sold by A in August while number of wardrobes sold by A in August and Bin September were equal. Company B sold total 1025 chairs in these three months together which was 480 more than total number of tables sold by A Ratio of tables sold by A and B in August is 12:11 and in October is 35 38 respectively. Total number of items sold in August was 1075. Total number of wardrobes sold by W In October was 35 less than wardrobe sold by B in October while sum of wardrobe sold by A and B in October is 205.

What is the ratio of number of tables sold by A in August to that of B in September?

  1. 7:6

  2. 6:7

  3. 5:7

  4. 6:5

  5. 7:5

Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

Using the provided ratio 42:36:23 for chairs, tables, and wardrobes sold by Company A in August, let x be the common multiplier. Because the ratio of chairs sold by A in August to September is 14:23, September chair sales equal 69x. Since August wardrobes (23x) are 230 less than September chairs (69x), we find that x equals 5. Thus, tables sold by A in August are 36 * 5 = 180. Because tables sold by B in September equal chairs sold by A in August, B sold 42 * 5 = 210 tables in September. The required ratio is 180:210, which simplifies to 6:7.