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Two companies offer their product at different prices while trying to be competitive. If a customer buys 10 units each of both companies he spends Rs. 100 less than if buys all the products of the first company. If instead he buys 5 units of first company product and 10 products of second he pays Rs. 2000 in total. What is unit price of product of each company?

Two companies offer their product at different prices while trying to be competitive. If a customer buys 10 units each of both companies he spends Rs. 100 less than if buys all the products of the first company. If instead he buys 5 units of first company product and 10 products of second he pays Rs. 2000 in total. What is unit price of product of each company? Correct Answer 140, 130

Let the unit price of product of one company = X

Let the unit price of product of Second company = Y

10X + 10Y = 20X - 100

⇒ 10X - 10Y = 100        ---- (1)

5X + 10Y = 2000        ---- (2)

Adding equations (1) and (2)

15X = 2100

X = 140

Form equation (2),

Y = 130

∴ Unit price of product of each company = 140, 130

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