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18 Sep 2024, 19:14
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B
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Difficulty:
95%
(hard)
Question Stats:
47% (02:31) correct
53%
(02:53)
wrong
based on 139
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Every month Raul earns a fixed amount of $P, plus a commission which includes a fixed percent of the sales he makes during that month and a fixed percent of the profit the company makes during that month. In January 2020, when the company made a profit of $500,000, Raul earned $50,000 from the sales of $100,000 he made during that month. In February 2020, when the company made a profit of $700,000, Raul earned $60,000 from the sales of $120,000 he made during that month. In March 2020, if the company expects the profit of $600,000 and Raul estimates to make the sales of $110,000, what would be his expected total earnings for the month of March?
(A) $50,000
(B) $55,000
(C) $60,000
(D) $65,000
(E) It cannot be determined from the information given.
(A) $50,000
(B) $55,000
(C) $60,000
(D) $65,000
(E) It cannot be determined from the information given.
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19 Sep 2024, 03:24
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Sunpreet19
Given: Every month Raul earns a fixed amount of $P, plus a commission which includes a fixed percent of the sales he makes during that month and a fixed percent of the profit the company makes during that month. In January 2020, when the company made a profit of $500,000, Raul earned $50,000 from the sales of $100,000 he made during that month. In February 2020, when the company made a profit of $700,000, Raul earned $60,000 from the sales of $120,000 he made during that month.
Asked: In March 2020, if the company expects the profit of $600,000 and Raul estimates to make the sales of $110,000, what would be his expected total earnings for the month of March?
Let the earnings of Raul = $P + x%*Sales he made that month + y%*Profit company makes that month
In January 2020, when the company made a profit of $500,000, Raul earned $50,000 from the sales of $100,000 he made during that month.
$50,000 = $P + x%$100,000 + y%*$500,000 (1)
In February 2020, when the company made a profit of $700,000, Raul earned $60,000 from the sales of $120,000 he made during that month.
$60,000 = $P + x%*$120,000 + y%*$700,000 (2)
In March 2020, if the company expects the profit of $600,000 and Raul estimates to make the sales of $110,000, expected total earnings would be = $P + x%*$110,000 + y%*$600,000 (3)
(1) + (2)
$110,000 = $2P + x%*$220,000 + y%*$1200,000
Halving the equation, we get
$55,000 = $P + x%*$110,000 + y%*$600,000
Raul's expected earnings in March 2020 = $P + x%*$110,000 + y%*$600,000 = $55,000
IMO B
Given: Every month Raul earns a fixed amount of $P, plus a commission which includes a fixed percent of the sales he makes during that month and a fixed percent of the profit the company makes during that month. In January 2020, when the company made a profit of $500,000, Raul earned $50,000 from the sales of $100,000 he made during that month. In February 2020, when the company made a profit of $700,000, Raul earned $60,000 from the sales of $120,000 he made during that month.
Asked: In March 2020, if the company expects the profit of $600,000 and Raul estimates to make the sales of $110,000, what would be his expected total earnings for the month of March?
Let the earnings of Raul = $P + x%*Sales he made that month + y%*Profit company makes that month
In January 2020, when the company made a profit of $500,000, Raul earned $50,000 from the sales of $100,000 he made during that month.
$50,000 = $P + x%$100,000 + y%*$500,000 (1)
In February 2020, when the company made a profit of $700,000, Raul earned $60,000 from the sales of $120,000 he made during that month.
$60,000 = $P + x%*$120,000 + y%*$700,000 (2)
In March 2020, if the company expects the profit of $600,000 and Raul estimates to make the sales of $110,000, expected total earnings would be = $P + x%*$110,000 + y%*$600,000 (3)
(1) + (2)
$110,000 = $2P + x%*$220,000 + y%*$1200,000
Halving the equation, we get
$55,000 = $P + x%*$110,000 + y%*$600,000
Raul's expected earnings in March 2020 = $P + x%*$110,000 + y%*$600,000 = $55,000
IMO B
19 Sep 2024, 05:32
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Raul's earnings depend on a fixed amount plus percentages of sales and profit. Solving the equations from January and February, we find the fixed earnings are $20,000, 10% of sales, and 6% of the company's profit. For March, with $110,000 in sales and $600,000 in profit, Raul earns:
20,000+(0.10×110,000)+(0.06×600,000)=55,000
Sooooo its B!
20,000+(0.10×110,000)+(0.06×600,000)=55,000
Sooooo its B!
