Let the original price of be N .
? At discount of 20% article costs ? 596
? 596 = (80 x N)/100
? N = (596 x 100)/80
? N = 745
? original price = ? 745
Given, r1 = 20% and r2 = 20%
? Single discount equal to r1 and r2
= (r1 + r2 - r1 x r2) / 100 %
= (20 + 20 - 20 x 20) / 100
= 40 - 4 = 36%
Let amount of electricity bill = ? N
? 4% of N = 13
? (4 x N)/100 = 13
? N = 13 x 25 = ? 325
Here, r1 = 10 %, r2 = 20% and r3 = 30%
? Required discount
= [1 - (1 - r1/100) (1 - r2/100) (1 - r3/100)] x 100%
= [1 - (1 -10/100) (1 - 20/100) (1 - 30/100)] x 100%
= {1 - (9/10) x (4/5) x (7/10)} x 100%
= (1 - 0.504) x 100% = 49.6%
Let the marked price of item = ? N
? {(100 - 14) /100 } of N = 645
? N = (645 x 100)/86 = ? 750
? Marked price of a shirt = ? 320
Discount on a shirt = 320 x 25/100 = ? 80
? Number of shirts has to be purchased to get a rebate of ? 400 = 400/80 = 5
? Single discount equivalent to 36% and 4%
= 36 + 4 - {(36 x 4)/100} = 38.56
? Required difference
= {(40 - 38.56) x 500}/100 = 1.44 x 5 = ? 7.20
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