An officer ordered 3 computers of brand X and some computers of brand Y. The price of one computer of brand X was thrice that of brand Y. When the order was executed, it was found that the numbers of the two brands has been interchanged. This increased the bill by 50%. Find the ratio of the number of brand X computers to that of brand Y computers in the original order was.
An officer ordered 3 computers of brand X and some computers of brand Y. The price of one computer of brand X was thrice that of brand Y. When the order was executed, it was found that the numbers of the two brands has been interchanged. This increased the bill by 50%. Find the ratio of the number of brand X computers to that of brand Y computers in the original order was. Correct Answer 3 : 7
Let the no of computers of brand Y = n and the cost of 1 computer of brand Y = Re. 1
∴ Original cost of brand Y computer = Rs. n and original cost of brand X computer = Rs. 3 × 3 = 9
∴ Total original cost = Rs. (n + 9)
In the case of executed order,
Cost of brand X computer = Rs. 3n
And cost of brand Y computer = Rs. 3
∴ Total cost of executive order = Rs. (3n + 3)
As per the question,
150% of (n + 9) = 3n + 3
⇒ 150/100 × (n + 9) = 3n + 3
⇒ 3/2 × (n + 9) = 3n + 3
⇒ n + 9 = 2n + 2
∴ n = 7
∴ Required ratio = 3 : 7