1.

A dealer offers a cash discount of 20% and still makes a profit of 20%, when he further allows 16 articles to a dozen to a particularly sticky bargainer. How much percent above the actual price were his article listed?1. 100%2. 80%3. 75%4. 66%

Answer» Correct Answer - Option 1 : 100%

Given:
Discount = 20%
Profit on cost price = 20% 

Concept used:
S.P. = C.P. × (100 + Profit %)/100
Indirect process:-
M.P. = S.P. × 100/(100 – discount %)

Calculation: 
Let the cost price of the articles be 100
Selling price of the articles to get 20% profit  = 100 × (100 + 20)/100 = 120
Loss percentage incurred by selling 16 articles at the cost of 12 articles = (16 – 12)/16 × 100
⇒ 4/16 × 100
⇒ 1/4 × 100
⇒ 25%
Selling price of the articles before allows 16 articles to a dozen = 120 × 100/(100 – 25)
⇒ 120 × 100/75
⇒ 120 × 4/3
⇒ 160
Listed price of the articles before given the 20% discount = 160 × 100/(100 – 20)
⇒ 160 × 100/80
⇒ 2 × 100
⇒ 200
Percentage of listed price marked above the cost price = 100%
∴ 100% above the actual price were his article listed.


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