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The number of products sold by A in 2015 is 1.5 times of the number of products sold by B in that year. Number of Products sold by A in 2017 is 14 more than that in 2015. In 2016 A sold 10% less products as compared to 2017. The Ratio of number of products sold by B in 2015 to that in 2017 is 3: 8. Total number of products sold by B in all the three years is 1 less than the number of products sold by A and B together in 2017. The number of products sold by B in 2016 is 1 more than that sold by it in 2015.
In 2017, A and B sold 40% and 64% of their respective products, then find the difference between the number of unsold products of A and B in 2017.
39
18
25
21
None of these
- Let the number of products sold by B in 2015 be \( x \).
- Then the number of products sold by A in 2015 is \( 1.5x \).
- In 2017, A sold \( 1.5x + 14 \) products.
- A in 2016 sold 10% less than in 2017, which is \( 0.9 \times (1.5x + 14) \).
- The number of products sold by B in 2017 is \((8/3)x \).
- Total products sold by B in all three years is: \( x + (x + 1) + \frac{8}{3}x = \frac{14}{3}x + 1 \).
- This is 1 less than the total sold by A and B in 2017, so \( \frac{14}{3}x + 1 = (1.5x + 14) + \frac{8}{3}x - 1 \).
- Solving gives \( x = 15 \).
- Unsold products by A in 2017: \( 0.6 \times (1.5 \times 15 + 14) = 16.8 \).
- Unsold products by B in 2017: \( 0.36 \times (\frac{8}{3} \times 15) = 55.2 \).
- Difference: \( 55.2 - 16.8 = 38.4 \) (rounded to 39).
By: Parvesh Mehta ProfileResourcesReport error
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