Question

A shopkeeper bought a sewing machine for Rs.
2700 and marked some price on it. After allowing
a discount of 20% on its marked price, he loses
8%. Find the marked price of the sewing machine.​

Answer 1

Answer:

₹3,105.

Step-by-step explanation:

CP = ₹2700.

Loss = 8%.

By SP formula,

SP = (1- r/100) × CP

⇢ SP = (1- 8/100 × 2700

⇢ SP = (1- 2/25) × 2700

⇢ SP = 23/25 × 2700

⇢ SP = 23 × 108

⇢ SP = ₹2,484.

Now, with SP and discount we can easily find the MP.

SP = ₹2,484.

Discount = 20%.

SP = (1- d/100) × MP

⇢ 2484 = (1- 20/100) × MP

⇢ 2484 = (1- 1/5) × MP

⇢ 2484 = 4/5 × MP

⇢ MP = 5/4 × 2484

⇢ MP = 5 × 621

⇢ MP = ₹3105.

Therefore, MP of the sewing machine is ₹3,105.

Used Abbreviations

CP = Cost Price.

r = Loss%.

d = Discount.

MP = Marked Price.

SP = Selling Price.

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