a
shopkeeper
pays sales
tax of 12%
on
an article
whose
cost price is
Rs 500
He wants
to get 20% profit by
giving
а
discount
of 16%.
find
the selling price
of the article
Answers
Answer:
Step-by-step explanation:
Sp=500*112/100*120/100=672
Given :-
- A shopkeeper pays sales tax of 12% on an article whose cost price is Rs 500.
- He wants to get 20% profit by giving а discount of 16%.
To Find :-
- The selling price of the article ?
Solution :-
Given that,
→ CP of article is = Rs.500
→ Shopkeeper pays tax = 12%
So,
→ After giving tax , he buys the article at = (500 * 112)/100 = Rs.560 .
Now,
→ CP of article = Rs.560
→ Profit = 20% .
So,
→ SP of article = {CP * (100 + Profit%)} / 100
→ SP = {560 * (100 + 20)} / 100
→ SP = (560 * 120)/100
→ SP = Rs.672 .
Now,
→ SP of article = Rs.672
→ Discount given = 16% .
Therefore,
→ MP of article = SP * 100 / (100 - Discount%)
→ MP = (672 * 100) / (100 - 16)
→ MP = (672 * 100) / 84
→ MP = Rs.800 (Ans.)
Hence, in order to get 20% profit after giving discount of 16% he must sell the article at Rs.800 .
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