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Find a single discount equivalent to a discount series of 10%, 15% and 20%.
Question

Find a single discount equivalent to a discount series of 10%, 15% and 20%.

A.

39.20%

B.

42.20%

C.

38.80%

D.

40.80%

Correct option is C

Equivalent discount of x%  and y% =  x+yxy100 x+ y-\frac{xy}{100}

Equivalent discount of 10% and 20% = 10+2010×20100=10+202=302=28% 10+ 20-\frac{10×20 }{100} = 10+20-2 = 30-2= 28{\%}

Equivalent discount of 28% and 15% = 28+1528×15100=28+154.2=38.8% 28+ 15-\frac{28×15 }{100} = 28+15-4.2 = 38.8{\%}​​

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