Question

There are a total of 350 products of the following types, Product A is Rs. 10 and Product B is Rs. 8. If all but 1 product of type A didn't sell at the end of the day,
and the total sales is 3000, how many units of A was sold?​

Answer 1

SOLUTION

GIVEN

There are a total of 350 products of the following types, Product A is Rs. 10 and Product B is Rs. 8. If all but 1 product of type A didn't sell at the end of the day, and the total sales is 3000

TO DETERMINE

The number of units of A was sold

EVALUATION

Let x units of product A and y units of product B was sold

Now it is given that there are a total of 350 products

$\sf{x + y = 350 \: \: \: - - - - - (1)}$

Again it is also stated that Product A is Rs. 10 and Product B is Rs. 8. If all but 1 product of type A didn't sell at the end of the day

So by the given condition

$\sf{10(x - 1) + 8y = 3000}$

$\sf{ \implies \: 10x - 10 + 8y = 3000}$

$\sf{ \implies \: 10x + 8y = 3010 \: \: \: \: \: - - - (2)}$

Now Equation 2 - 8 × Equation 1 gives

$\sf{2x = 210}$

$\sf{ \implies \: x =105}$

Hence there was 105 units of product A and 104 units of product A was sold

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