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A dealer sold 100 units of batteries for $a. If each of the battery co
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31 Mar 2023, 00:06
31 Mar 2023, 00:06
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A dealer sold 100 units of batteries for $a. If each of the battery costs 20% less than the selling price to the dealer, then in terms of a, cost of each battery is:
(0.006)a
(0.007)a
(0.008)a
(0.009)a
(0.010)a
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(0.006)a
(0.007)a
(0.008)a
(0.009)a
(0.010)a
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE PERCENT
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Re: A dealer sold 100 units of batteries for $a. If each of the battery co
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11 Apr 2023, 10:20
11 Apr 2023, 10:20
1
Expert Reply
Let's assume the cost of each battery to the dealer is denoted by the variable "c".
According to the given information, the dealer sold 100 units of batteries for $a. This means that the total selling price for 100 units of batteries is $a. Since each battery costs 20% less than the selling price to the dealer, the cost of each battery would be 80% of the selling price.
Mathematically, we can express this as:
c = 0.80a
Now, we can substitute the given values for "a" in the answer choices to find the correct option:
a. (0.006)a
b. (0.007)a
c. (0.008)a
d. (0.009)a
e. (0.010)a
Substituting "a" with $0.80a in each option:
a. (0.006)(0.80)a = 0.0048a
b. (0.007)(0.80)a = 0.0056a
c. (0.008)(0.80)a = 0.0064a
d. (0.009)(0.80)a = 0.0072a
e. (0.010)(0.80)a = 0.0080a
Comparing the options with the expression we derived for "c", we can see that the correct option is (c) (0.008)a, as it matches with our expression for the cost of each battery to the dealer. Therefore, the correct answer is (0.008)a.
According to the given information, the dealer sold 100 units of batteries for $a. This means that the total selling price for 100 units of batteries is $a. Since each battery costs 20% less than the selling price to the dealer, the cost of each battery would be 80% of the selling price.
Mathematically, we can express this as:
c = 0.80a
Now, we can substitute the given values for "a" in the answer choices to find the correct option:
a. (0.006)a
b. (0.007)a
c. (0.008)a
d. (0.009)a
e. (0.010)a
Substituting "a" with $0.80a in each option:
a. (0.006)(0.80)a = 0.0048a
b. (0.007)(0.80)a = 0.0056a
c. (0.008)(0.80)a = 0.0064a
d. (0.009)(0.80)a = 0.0072a
e. (0.010)(0.80)a = 0.0080a
Comparing the options with the expression we derived for "c", we can see that the correct option is (c) (0.008)a, as it matches with our expression for the cost of each battery to the dealer. Therefore, the correct answer is (0.008)a.
gmatclubot
Re: A dealer sold 100 units of batteries for $a. If each of the battery co [#permalink]
11 Apr 2023, 10:20
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