At a new book-store, the inaugural discount is as follows. If the value of purchase $<$ 3200, the buyer gets a $14 %$ discount. If the purchase $3200 < x < 6300$ , then the buyer gets a $16 %$ discount for value greater than 3200. Above 6300, the discount percentage is x. A certain buyer gets a total discount of Rs. 1520 which is $16 %$ of the purchase value. The value of the x is___ $%$

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Solution

$16 %$ of purchase value = Rs. 1520

purchase value = 9500

$1520 = 14 % o f 3200 + 16 % o f 3100 + x % o f 3200$

$1520 = 944 + x % o f 3200$

$576 = x % o f 3200$

$x = 18 %$

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16% of purchase value = Rs. 1520 purchase value = 9500 1520=14% of 3200+16% of 3100+x% of 3200 1520=944+x% of 3200 576=x% of 3200 x=18%

$16 %$ of purchase value = Rs. 1520

purchase value = 9500

$1520 = 14 % o f 3200 + 16 % o f 3100 + x % o f 3200$

$1520 = 944 + x % o f 3200$

$576 = x % o f 3200$

$x = 18 %$