What are the sales of Product A in 2013, Product C in 2010 and Product D in 2012?
Explanation:
The first table gives the difference between the average sales of various products over seven years. e.g. A – B = 214.29 crores Hence, total difference between A and B over the seven year period is: A – B = 214.29 × 7 = 1500 crores Similarly, C – A = 900 cr, A – D = 1000 cr, A – E = 300 cr, C – B = 2400 cr, D – B = 500 cr, E – B = 1200 cr, C – D = 1900 cr, C – E = 1200 cr, E – D = 700 cr Let the sales of A in 2013 be a(‘000s), C in 2010 be c(‘000s) and D in 2012 be d(‘000s). The total sales, by volume, of each product are: A = (6800 + a) × 103 B = 5800 × 103 C = (7400 + c) × 103 D = (5700 + d) × 103 E = 7000 × 103 Hence, difference between number of units sold of B and E = 1200 × 103 Assuming that each product is sold at the same cost in each year, Cost per product = (1200 cr)/(1200 thousand) = (1200 × 107)/ (1200 × 103) = 10000 ∴ Total sales of B over the given period = 5800 × 103 × 10000 = 5800 × 107 = 5800 crores Similarly, total sales of E over the given period = 7000 × 103 × 10000 = 7000 × 107 = 7000 crores Using these values in the equations above, A = 7300 crores, C = 8200 crores, D = 6300 crores Also, total sales of A = (6800 + a) × 103 × 10000 = (6800 + a) × 107 = (6800 + a) crores Comparing this value with 7300 crores (found as total sales of A earlier), a = 7300 – 6800 = 500 crores Similarly, c = 800 crores and d = 600 crores Hence, option (c).
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