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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, B sold two types of products i.e. type X and type Y. If out of the total products sold by B in 2017, 3/8th were of type Y, then find the ratio of number of products sold by A in 2015 and number of type X products sold by B in 2017?
3:5
3:4
9:10
2:5
None of these
- Let the number of products sold by B in 2015 be X.
- Then, A sold 1.5X products in 2015.
- In 2017, A sold 1.5X + 14 products.
- In 2016, A sold 90% of 2017 products = 0.9 * (1.5X + 14).
- The ratio of B's sales in 2015 to 2017 is 3:8. Hence, B sold (8/3)X products in 2017.
- B sold X + 1 products in 2016.
- Total sales of B from 2015 to 2017 = X + (X + 1) + (8/3)X = 1.5X + 13.
- Total products sold by A and B in 2017 is 1.5X + 14 + (8/3)X.
- Solving gives X = 12.
- In 2017, type Y products sold by B = 3/8 * 32 = 12.
- Type X products sold by B = 32 - 12 = 20.
- Number of products sold by A in 2015 = 1.5 * 12 = 18.
- Hence, the ratio of products sold by A in 2015 to type X products sold by B in 2017 = 18:20 = 9:10.
Option 3: 9:10 is the correct answer.
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By: Parvesh Mehta ProfileResourcesReport error
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