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Find the effective price percentage of the marked price after three consecutive discounts of 8%, 17% and 17%. (Rounded up to two decimal places.)
Question

Find the effective price percentage of the marked price after three consecutive discounts of 8%, 17% and 17%. (Rounded up to two decimal places.)​

A.

64.53%

B.

64.71%

C.

63.38%

D.

64.51%

Correct option is C

Given:

Three consecutive discounts of 8%, 17%, and 17%.

Formula Used:

The price after consecutive discounts is:

Effective Price = Marked Price×(1d1100)×(1d2100)×(1d3100) \times (1 - \frac{d_1}{100}) \times (1 - \frac{d_2}{100}) \times (1 - \frac{d_3}{100})​​

Where d1,d2,d3d_1, d_2, d_3​ are the percentages of the three discounts.

Solution:

Let the MP be 100 

So, 

Effective Price = 100×92100×83100×83100100 \times \frac{92}{100}\times \frac{83}{100}\times \frac{83}{100}

= 63.38 

Price in percentage = 63.38100×100=63.38%\frac{63.38}{100}\times 100 = 63.38\%​​

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