Find the single discount equivalent to the following successive discounts:(i)10%,20% and 5%
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42
Say the Marked Price be Rs. 100 and d1 = 10 %, d2 = 20 % and d3 = 20 %
S.P = (100100−d1)×(100100−d2)×(100100−d3)×M.P
= (100100−10)×(100100−20)×(100100−20)× 100
= (10090)×(10080)×(10080)×100
= (1000576)×100
= Rs. 57.6
The single equivalant discount = M.P - S.P = Rs. 100 - Rs. 57.6 = Rs. 42.4
∴ single equivalent discount %
= (M.Psingleequivalentdiscount)=10042.4
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