Throughout last year, a stylish jacket had a full price of P in

Question

Throughout last year, a stylish jacket had a full price of P in certain store. At the beginning of this year, the regular full price of the jacket rose A% percent. Shortly after the beginning of this year, this store had a sale, and Margarette bought the jacket at B% less than then this year’s current full price, where B > A. How much did Margarette save, buying the jacket this year on sale, as compared to what she would have spent last year?

(1) P = $250

(2) B – A = 5

This is a Data Sufficiency Butler Question

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(1) P = $250

(2) B – A = 5

This is a  Data Sufficiency Butler Question

Check the links to other Butler Projects:

Problem Solving Butler  
  Data Sufficiency Butler  
  Critical Reasoning Butler  
  Reading Comprehension Butler  
  Data Insights Butler

icandoit4u · Answer

given 
last year price of jacket = P
rise of A% on p and then discount of B% , so Margarette must have bought it for 
margarette's price = P*(1+A/100)*(1-B/100) 
find = P-margarette's price

1) st 1 
P = 250
here we are not given anything about A% or B%
margerette's price = 250*(1+a/100)*(1-b/100)
so insufficient

2) st 2
B-A = 5
B = 5+A
given nothing about P or A
margarette price = P*(1+A/100)*(5-A)*100
so insufficient

3) st 1 and 2 together 
P=250
B-A=5
margarette price = 250*(1+A/100)*(1-5+A/100) 
no clue about A ,
so insufficient

Hence ans is option E

dhart · Answer

1) gives no value for A or B
2. b-a =5 but b and a can take any value
together same 
 both looks insuff option e)

odionam · Answer

this is clear cut answer choice is E since St1 doesn't provide anything about A and B so it is not sufficient
and St2 given B-A but requirement is actual value of A and B so that we get diffence because % is multyplied by price like P(1+A/100) and other is P(1+A/100)(1-B/100) so it is also not sufficient answer E because combining these two we didn't get anything

counterclash1 · Answer

Correct Answer: E (Statements 1 and 2 TOGETHER are NOT sufficient)

FORMULA SETUP:
- Last year price = P
- Sale price = P * (1 + A/100) * (1 - B/100)
- Savings = Last Year Price - Sale Price
- Savings = P *

Target: Find unique dollar value for Savings. Need P, (B - A), and product (A*B).

STATEMENT ANALYSIS:
- Statement (1): P = 250. Missing (B - A) and (A*B). INSUFFICIENT.
- Statement (2): B - A = 5. Missing P and (A*B). INSUFFICIENT.

TOGETHER:
Savings = 250 *   = 12.5 + (A*B)/40

TEST CASES (B - A = 5):
- Case 1: A = 10, B = 15 => A*B = 150 => Savings = 12.5 + 150/40 = $16.25
- Case 2: A = 20, B = 25 => A*B = 500 => Savings = 12.5 + 500/40 = $25.00

Multiple possible answers => TOGETHER INSUFFICIENT (Answer Choice E).

Throughout last year, a stylish jacket had a full price of P in

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Throughout last year, a stylish jacket had a full price of P in