Question

A trader allows 10% discount and still makes a profit of 20% on his goods. If the profit he makes is Rs. 150, find the marked price.

Answer 1

$<i><b>Hii !<b><i>$

Here is your answer !!

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Discount on marked price ( M.P. ) = 10 %

Profit % = 20 %

Profit = ₹150

Let the C.P. be x

$\frac{20}{100} \: \times x \: = 150 \\ \\ = > \frac{1}{5} x \: = 150 \\ \\ = > x \: = \: 150 \times 5 \\ \\ = > x = 750$

The C.P. ( Cost Price ) is ₹ 750

M.P. = ?

$discount \: = \: \frac{10}{100} \: \times 750 \\ \\ = > 75$

M.P. = C.P - Discount

=> 750 - 75

=> 675

Ans ) The Marked Price is $<u>₹ 675<u>$

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Thanks !!!