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Suppose you have two coupons for a certain store. One gives you 20% of
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Carcass
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Joined: 18 Apr 2015
Posts: 22310
Suppose you have two coupons for a certain store. One gives you 20% of [#permalink] New post  20 Apr 2022, 01:00
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Suppose you have two coupons for a certain store. One gives you 20% off any purchase; the other gives you $20 off any purchase of $60 or more. For which of the following purchase amounts (at that store) would you save more money with the 20% off coupon than with the $20 off coupon?

Indicate all that apply

$50
$60
$80
$100
$120

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KarunMendiratta
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Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1479
Location: India
WE:Education (Education)
Re: Suppose you have two coupons for a certain store. One gives you 20% of [#permalink] New post  29 Apr 2022, 02:48
Carcass wrote:
Suppose you have two coupons for a certain store. One gives you 20% off any purchase; the other gives you $20 off any purchase of $60 or more. For which of the following purchase amounts (at that store) would you save more money with the 20% off coupon than with the $20 off coupon?

Indicate all that apply

$50
$60
$80
$100
$120



Let the coupons be C1 and C2 and saved amount be S1 and S2
C1 = 0.8(cost price)
S1 = 0.2(cost price)

C2 = cost price - $20
S2 = $20 (for products valued $60 or more)

Let us check the option choices;

A. $50
S1 = $10
S2 = $0 (as C2 is only valid if the cost price is greater than equal to $60)
S1 > S2

B. $60
S1 = $12
S2 = $20
S1 < S2

C. $80
S1 = $16
S2 = $20
S1 < S2

D. $100
S1 = $20
S2 = $20
S1 = S2

E. $120
S1 = $24
S2 = $20
S1 > S2

Hence, option A and E
_________________
I hope this helps!

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Karun Mendiratta
Founder and Quant Trainer
Prepster Education, Delhi, India
https://www.instagram.com/prepster_education/
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