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  1. The single discount equivalent to the discount series of 20%,10% and 5% is :
    1. 11.66%
    2. 31.6%
    3. 35.66%
    4. 32%
Correct Option: B

Single equivalent discount for 20% and 10%

= 20 + 10 −
20 × 10
% = 28%
100

Single equivalent discount for 28% and 5%
= 28 + 5 −
28 × 5
% = 31.6%
100

Alternate method to solve this question :
Here, D1 = 20%, D2 = 10%,D3 = 5%
Single equivalent discount
= 100 −
100 − D1
100 − D2
100 − D3
× 100
100100100

= 100 −
100 − 20
100 − 10
100 − 5
× 100
100100100

= 100 −
80
×
90
×
95
× 100
100100100

= 100 – 68.40 = 31.60%



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