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# A manufacturer of jam wants to make a profit of \$75 when it sells 300

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A manufacturer of jam wants to make a profit of \$75 when it sells 300  [#permalink]

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02 Nov 2017, 23:13
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Difficulty:

25% (medium)

Question Stats:

89% (01:55) correct 11% (02:25) wrong based on 62 sessions

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A manufacturer of jam wants to make a profit of \$75 when it sells 300 jars of jam. It costs 65¢ each to make the first 100 jars of jam and 55¢ each to make each jar after the first 100. What price should it charge for the 300 jars of jam?

(A) \$75
(B) \$175
(C) \$225
(D) \$240
(E) \$250

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A manufacturer of jam wants to make a profit of \$75 when it sells 300  [#permalink]

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02 Nov 2017, 23:44
Bunuel wrote:
A manufacturer of jam wants to make a profit of \$75 when it sells 300 jars of jam. It costs 65¢ each to make the first 100 jars of jam and 55¢ each to make each jar after the first 100. What price should it charge for the 300 jars of jam?

(A) \$75
(B) \$175
(C) \$225
(D) \$240
(E) \$250

Cost to make the 100 jars of jam are 100*65¢ = \$65
Cost to make the remaining 200 jars of jam = 200*55¢ = \$110

Therefore, cost of production of 300 jars of jam is \$65+\$110 = \$175

Since, the manufacturer wants to make a profit of \$75, he/she would have
to sell the 300 jars of jam at a price of \$175+\$75 = \$250(Option E)
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A manufacturer of jam wants to make a profit of \$75 when it sells 300  [#permalink]

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03 Nov 2017, 07:52
Bunuel wrote:
A manufacturer of jam wants to make a profit of \$75 when it sells 300 jars of jam. It costs 65¢ each to make the first 100 jars of jam and 55¢ each to make each jar after the first 100. What price should it charge for the 300 jars of jam?

(A) \$75
(B) \$175
(C) \$225
(D) \$240
(E) \$250

Sell price with profit, where \$75 = 7500 cents
(Dollars to cents: multiply by 100. Cents to dollars: move the decimal two places to the left, i.e., divide by 100.)

Sell price = (Total cost) + (profit desired)

Sell price in cents =
[65(100) + 55(300-100)] + 7500 =
[6500 + 55(200)] + 7500 =
(6500 + 11000 + 7500) cents

Switch to dollars; move decimal to the left two places on all three terms

Sell price in dollars for 300 jars of jam:
\$65 + \$110 + \$75 = \$250

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Re: A manufacturer of jam wants to make a profit of \$75 when it sells 300  [#permalink]

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03 Nov 2017, 19:14
Cost of making 100 Jars= 100*0.65= \$65.
Cost of making remaining 200 Jars= 200*0.55= \$110

Total cost= \$175
Selling Price= 250

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Re: A manufacturer of jam wants to make a profit of \$75 when it sells 300  [#permalink]

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06 Nov 2017, 18:05
Bunuel wrote:
A manufacturer of jam wants to make a profit of \$75 when it sells 300 jars of jam. It costs 65¢ each to make the first 100 jars of jam and 55¢ each to make each jar after the first 100. What price should it charge for the 300 jars of jam?

(A) \$75
(B) \$175
(C) \$225
(D) \$240
(E) \$250

The cost of the 300 jars of jam is:

0.65 x 100 + 0.55 x 200 = 65 + 110 = \$175

Since the manufacturer wants to make \$75 in profit, he or she should sell the 300 jars of jam for 175 + 75 = \$250.

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Re: A manufacturer of jam wants to make a profit of \$75 when it sells 300 &nbs [#permalink] 06 Nov 2017, 18:05
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