collection of tough problems from G PREP - 3

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For each customer, a bakery charges p dollars for the 1st loaf of bread bought by the customer and charges q dollars for each additional loaf bought by the customer. What is the value of p?

1) A customer who buys 2 loaves is charged 10% less per loaf than a customer who buys a single loaf.
2) A customer who buys 6 loaves of bread is charged $10
Source: — Data Sufficiency |

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by ajith » Sat Feb 06, 2010 6:23 am
abhasjha wrote:For each customer, a bakery charges p dollars for the 1st loaf of bread bought by the customer and charges q dollars for each additional loaf bought by the customer. What is the value of p?

1) A customer who buys 2 loaves is charged 10% less per loaf than a customer who buys a single loaf.
2) A customer who buys 6 loaves of bread is charged $10
1) insufficient [ p+q = 0.9 (2p)]
2) insufficient [p+5q =10]

Combining q= 0.8 p

5p =10
p =2
q=1.6
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by abhasjha » Mon Feb 08, 2010 12:03 am
OA- C

Try setting equations for such questions .........

Question stem tells you that p $ for 1st load and q $ for additional loaf.

1. if someone buys 2 loaf , he will be charged p+q $.
price per laof = (p+q) / 2 $

if one buys only 1 loaf then one pays only p $

St1 tells that

(p+q)/2 = (1-10%) p
p/2+q/2 = 9/10p
q=0.8 p

Cant figure out p insuffcient.

2. 6 loaves price is p+5q given as 10$
p+5q=10

Insufficent.

Together 1 & 2
p+5*0.8p = 10
p =2$