Multiple choice

Camila, Alexa, Jesus and Juliana started a business by making investments a, b, c and d, respectively. The seven times a is equal to four times b. Six times b is equal to seven times c and eight times c is equal to eleven times d. If the profit share of Jesus after one year is Rs. 23,418 more than the profit share of Juliana, then find how much the profit share of Alexa is more than that of Camila.

  1. Rs. 42,933

  2. Rs. 52,932

  3. Rs. 41,453

  4. Rs. 47,935

  5. Rs. 32,933
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A Correct answer
Explanation

7a = 4b => a/b = 4/7. 6b = 7c => b/c = 7/6. 8c = 11d => c/d = 11/8. Ratio a:b:c:d = 44 : 77 : 66 : 48. Difference between Jesus (c) and Juliana (d) is 66 - 48 = 18 parts. 18 parts = 23418, so 1 part = 1301. Difference between Alexa (b) and Camila (a) is 77 - 44 = 33 parts. 33 * 1301 = 42933.

AI explanation

Converting the given proportional statements into a single ratio, a:b = 4:7, b:c = 7:6, and c:d = 11:8. Equalizing the common terms yields the combined investment ratio a:b:c:d = 44:77:66:48. The difference between Jesus's and Juliana's shares is 18 parts, valued at Rs. 23,418, making one part worth Rs. 1,301. Alexa and Camila have a difference of 33 parts, so multiplying 33 by Rs. 1,301 gives Rs. 42,933.

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