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  1. If the successive discounts be 20 %, 10 % and 5 %, then the single equivalent rate of discount is :
    1. 31.6%
    2. 31.5%
    3. 31%
    4. 31.4%
Correct Option: A

As we know that ,

Equivalent single discount = D1 + D2
D1 × D2
%
100

Single equivalent discount for 20% and 10%
= 20 + 10 −
20 × 10
%
100

= (30 – 2)% = 28%
Single equivalent discount for 28% and 5%
= 28 + 5 −
28 × 5
%
100

= 33 −
140
= 31.6%
100



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