Question

A shopkeeper allows 15% discount . On giving the discount he made a profit of 20% that is Rs.1700. What is the marked price?

Answer 1

Let the marked price be Rs x.

Then, discount = 15% of x

= Rs (x × 15/100)

= Rs 3x/20

${.}^{.} . \: sp = mp - discount$

$= > 1700 = x - \frac{3x}{20} \\ \\ = > 1700 = \frac{20x - 3x}{20} \\ \\ = > 1700 = \frac{17x}{20} \\ \\ = > 17x = 1700 \times 20 \\ \\ = > x = \frac{ 1700 \times 20}{17} \\ \\ = > x = 2000$

Hence, the marked price is Rs 2000.

Answer 2

The shopkeeper get the 20% profit on 1700

20÷100*1700 = Rs.340

so, it remains 1700 - 340 = Rs.1360

he allows 15% on it

15÷100*1360 = Rs.204

Therefore, the marked value is Rs.1360.

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He has purchased it 1360-204 = Rs.1156