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ICSE Class 10 Answered

A shopkeeper gives three successive discounts of 20%, 10% and 10% on his goods. If the list price of an article in his shop is Rs. 1,600 and sales tax on it is 15% of its sale price, find how much a customer will have to pay for it.
Asked by Topperlearning User | 04 Sep, 2017, 15:18: PM
answered-by-expert Expert Answer

begin mathsize 12px style List space price space equals space Rs. space 1600 1 to the power of st space discount equals 20 percent sign 2 to the power of nd space discount equals 10 percent sign 3 to the power of rd space end exponent discount equals 10 percent sign sale space price equals straight L. straight P. space open parentheses 1 minus straight D subscript 1 over 100 close parentheses open parentheses 1 minus straight D subscript 2 over 100 close parentheses open parentheses 1 minus straight D subscript 3 over 100 close parentheses therefore space Sale space price equals 1600 cross times open parentheses fraction numerator 100 minus 20 over denominator 100 end fraction close parentheses open parentheses fraction numerator 100 minus 10 over denominator 100 end fraction close parentheses open parentheses fraction numerator 100 minus 10 over denominator 100 end fraction close parentheses space space space space space space space space space space space space space space space space space space space space space space space space equals 1600 cross times 4 over 5 cross times 9 over 10 cross times 9 over 10 space space space space space space space space space space space space space space space space space space space space space space space space equals Rs. space 1036.80 Rate space of space sales space tax space equals space 15 percent sign space space space space Price space to space be space paid space by space straight a space customer equals Sale space price space plus space Sales space tax space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 1036.80 space plus space 15 percent sign space of space Rs. space 1036.80 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1036.80 plus 15 over 100 cross times 1036.80 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1036.80 plus 155.52 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals Rs. space 1192.32 end style

Answered by | 04 Sep, 2017, 17:18: PM
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