A retailer offers following discount schemes for buyers on an article I. Two successive discounts of

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7.Profit and Loss

hard

A retailer offers the following discount schemes for buyers on an article

$I.$ Two successive discounts of $10 \%$

$II.$ A discount of $12 \%$ followed by a discount of $8 \%$

$III.$ Successive discounts of $15 \%$ and $5 \%$

$IV.$ A discount of $20 \%$

The selling price will be minimum under the scheme

A

$I$

B

$II$

C

$III$

D

$IV$

Solution

$I.$ single equivalent discount

$=\left(10+10-\frac{10 \times 10}{100}\right) \%=19 \%$

$II.$ single equivalent discount

$=\left(12+8-\frac{12 \times 8}{100}\right) \%$

$=19.04 \%$

$III.$ single equivalent discount

$=\left(15+5-\frac{15 \times 5}{100}\right) \%=19.5 \%$

Standard 13

Quantitative Aptitude

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