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The original price of a music set is ₹8,000. The price is decreased by 12% and then raised by 25%. What is its new price (in ₹)?
Question

The original price of a music set is ₹8,000. The price is decreased by 12% and then raised by 25%. What is its new price (in ₹)?

A.

8,100

B.

8,300

C.

8,800

D.

9,300

Correct option is C

Given:

Original price = ₹8000; first decrease = 12%; then increase = 25%.

Formula Used:
Successive change: New Price =P×(1a100)×(1+b100) P \times (1-\frac{a}{100}) \times (1+\frac{b}{100})​​

Solution:
After 12% decrease: 8000×0.88=70400 \times 0.88 = ₹7040​​
After 25% increase: 7040×1.25=880040 \times 1.25 = ₹8800​​

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