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Question
The difference between a discount of 30% and two successive discounts of 20% and 10% is Rs.144. Find the list price of the article.
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Solution
Let the list price be Rs.100
In the first case, discount = 30%
S.P. = M.P. - discount
= Rs.100 - 30% of Rs.100
= Rs.70
In the second case, successive discounts = 20% , 10%
S.P. = `(1 - "D"_1/100)(1 - "D"_2/100)"M.P."`
= `(1 - 20/100)(1 - 10/100)100`
= `(80)/(100) xx (90)/(100) xx 100`
= Rs.72
∴ Difference between the S.P.'s
= Rs.72 - Rs.70
= Rs.2
When difference is Rs.2, M.P. = Rs.100
When differences is Rs.144, M.P.
= `(100 xx 144)/(2)`
= Rs.7200
∴ The list price of the article is Rs.7200.
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