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Find If the Following Discount Series is Better for the Customer: 20%, 20% and 20%

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Question

Find if the following discount series is better for the customer:
20%, 20% and 20%

Sum
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Solution

Let the M.P. be Rs. x
Second discount
S.P. = `(1 - "d"_1/100)(1 - "d"_2/100)(1 - "d"_3/100)` of M.P.

= `(1 - 20/100)(1 - 20/100)(1 - 20/100) xx x`

= `(80)/(100) xx (80)/(100) xx (80)/(100) xx x`
= 0.512x
Clearly, since 0.512x > 0.510x, so, the S.P. of the first is less than that of the second
So, the first offer is better than the second offer.

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