Match List I (Successive discounts) with List II (Equivalent discount).

List I

i.10% and 15%

ii.20% and 30%

iii.10% and 20%

iv.10% and 25%

List II

a.28%

b.32.5%

c.23.5%

d.44%

Ai-a, ii-b, iii-d, iv-c

Bi-b, ii-c, iii-a, iv-d

Ci-c, ii-d, iii-a, iv-b ✓ Correct

Di-d, ii-a, iii-b, iv-c

Correct answer: (C) i-c, ii-d, iii-a, iv-b

Explanation

The match is i-c, ii-d, iii-a, iv-b.

Single discount = 1 minus the product of retained fractions.

i : 1 - 0.90 x 0.85 = 0.235 = 23.5%, so i - c.

ii : 1 - 0.80 x 0.70 = 0.44 = 44%, so ii - d.

iii : 1 - 0.90 x 0.80 = 0.28 = 28%, so iii - a.

iv : 1 - 0.90 x 0.75 = 0.325 = 32.5%, so iv - b.

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