Question

a dealer offer 20℅ discount on the marked price of all musical instruments and still make a profit of 25℅ if he gain rs 150 on the sale of A harmonium then find the marked price of the instrument​

Answer 1

Answer:

750

Step-by-step explanation:

100-20=80

80×25÷100=20

150÷20×100=750

Answer 2

The marked price of the instrument​ is Rs 937.5.

Explanation:

Let x be the cost price of the harmonium.

It is given that Dealer is making 25℅ if he gain rs 150 on the sale.

⇒ 25% of cost price = 150

⇒ $\dfrac{25}{100}x=150$

⇒ $\dfrac{1}{4}x=150$

⇒ $x=4\times150=600$

Thus , the cost price of the harmonium is Rs 600.

Selling price of harmonium =  cost price+  gain

= Rs 600+ Rs 150 = Rs 750

Let y be the marked price of the instrument​.

Then, Selling price = y- 20℅ of y

i.e.  750 = y- (0.20)y     [Convert percent into decimal by dividing it by 100.]

i.e.  750 = y(1-0.2)

i.e.  750 = y(0.8)

i.e. $y=\dfrac{750}{0.8}=937.5$

Hence, the marked price of the instrument​ is Rs 937.5.

# Learn more :

Find cost price ,if selling price is ₹340,gain is₹20

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