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A shopkeeper charges sales tax of x% upto Rs 2000 and above it he charges y%. A customer pays total tax of Rs 320 when he purchased the goods worth Rs 6000 and he pays the total tax of Rs 680 for the goods worth Rs 12000. The value of (x - y) is?
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A shopkeeper charges sales tax of x% upto Rs 2000 and above it he char...
Solution:

Let x% be the tax charged for goods worth less than or equal to Rs 2000 and y% be the tax charged for goods worth more than Rs 2000.

Let's calculate the tax paid by the customer for the goods worth Rs 6000.
- For the goods worth less than or equal to Rs 2000, the tax paid = (x/100) * 2000 = 20x
- For the goods worth more than Rs 2000, the tax paid = (y/100) * 4000 = 40y
- Total tax paid = 20x + 40y = Rs 320

Let's calculate the tax paid by the customer for the goods worth Rs 12000.
- For the goods worth less than or equal to Rs 2000, the tax paid = (x/100) * 2000 = 20x
- For the goods worth more than Rs 2000 and less than or equal to Rs 2000, the tax paid = (y/100) * 8000 = 80y
- Total tax paid = 20x + 80y = Rs 680

We can write two equations using the above calculations:
20x + 40y = 320 --- Equation 1
20x + 80y = 680 --- Equation 2

Let's solve these equations to find the values of x and y:
Subtracting equation 1 from equation 2, we get:
40y = 360
y = 9

Substituting the value of y in equation 1, we get:
20x + 40(9) = 320
20x = 320 - 360
20x = -40
x = -2

So, the value of (x - y) is:
x - y = -2 - 9 = -11

Therefore, (x - y) = -11.
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A shopkeeper charges sales tax of x% upto Rs 2000 and above it he charges y%. A customer pays total tax of Rs 320 when he purchased the goods worth Rs 6000 and he pays the total tax of Rs 680 for the goods worth Rs 12000. The value of (x - y) is?
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A shopkeeper charges sales tax of x% upto Rs 2000 and above it he charges y%. A customer pays total tax of Rs 320 when he purchased the goods worth Rs 6000 and he pays the total tax of Rs 680 for the goods worth Rs 12000. The value of (x - y) is? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A shopkeeper charges sales tax of x% upto Rs 2000 and above it he charges y%. A customer pays total tax of Rs 320 when he purchased the goods worth Rs 6000 and he pays the total tax of Rs 680 for the goods worth Rs 12000. The value of (x - y) is? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper charges sales tax of x% upto Rs 2000 and above it he charges y%. A customer pays total tax of Rs 320 when he purchased the goods worth Rs 6000 and he pays the total tax of Rs 680 for the goods worth Rs 12000. The value of (x - y) is?.
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