Adealer marks his goods 30%above his cost price and then allows 15% discount on it. What is the cost price of an article on which he gains Rs. 84 ?
Cost price (CP), Selling price (SP) , Marked price (MP), Profit (P)
Assume CP = 100
MP = $$ CP \times \frac{130}{100} = 100 \times \frac{130}{100} = 130 $$
SP = $$ MP \times \frac{100-15}{100} = 130 \times \frac{85}{100} = 110.5 $$
When CP = 100 gain,P= 110.5 - 100 = 10.5
But here gain = 84
then it must be equal to
10.5 = 84
$$ 1 = \frac{84}{10.5} =8 $$
Therefore CP = $$ 100 \times 8 = 800 $$
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