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24 Sep 2022, 10:40
Kudos
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C
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Difficulty:
85%
(hard)
Question Stats:
62% (02:52) correct
38%
(02:46)
wrong
based on 298
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A vegetable seller wanted to boost his sales so he offered successive discounts of 10%, 20% and 25% on his vegetables. However, he used a rigged weighing scale which displays a weight of 1.5 kg for every 1200 gms of vegetables weighed. What is the effective discount offered (in percent)?
A. 24.5
B. 25.5
C. 32.5
D. 40.5
E. 42.5
A. 24.5
B. 25.5
C. 32.5
D. 40.5
E. 42.5
29 Sep 2022, 07:40
Kudos
Bookmarks
Lets assume 100 gm = $100
Mark up by weight = 1500 - 1200 = 300 gm
Mark up % = 300 /1200 = 25 %
Marked up price for 100 gm = $125
Selling price = 125 * 0.9 * 0.8 * 0.75 = $ 67.5
Effective Discount = 100 - 67.5 = 32.5 %
Mark up by weight = 1500 - 1200 = 300 gm
Mark up % = 300 /1200 = 25 %
Marked up price for 100 gm = $125
Selling price = 125 * 0.9 * 0.8 * 0.75 = $ 67.5
Effective Discount = 100 - 67.5 = 32.5 %
24 Sep 2022, 13:48
Kudos
Bookmarks
Suraj0184
Assume each gram of vegetable costs $1
We know that the vegetable seller offered certain discount, however he used a rigged scale. Which means, a person buying 1200 grams of vegetable will end up paying the amount for 1500 grams.
Price for 1500 grams of vegetables (post discount) = \(1500 * \frac{80}{100} * \frac{90}{100} * \frac{75}{100}\) = 810
The buyer however got $1200 worth of vegetables at its original price.
Discount = $1200 - $810 = approx. $400
Discount percentage (approx) = \(\frac{400 }{ 1200} * 100\) = approx 33%
Option C
