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If after three successive discounts of 20%, 25% and 35%, an item is sold for ₹33,150,what is its marked price (in ₹)?
Question

If after three successive discounts of 20%, 25% and 35%, an item is sold for ₹33,150,what is its marked price (in ₹)?

A.

90,000

B.

87,000

C.

85,000

D.

82,000

Correct option is C

Given:

Successive discounts of 20%, 25%, and 35%.

The final selling price after discounts is ₹33,150.

Formula Used:

The price after successive discounts can be calculated using the formula:

Selling Price = Marked Price × (1 − Discount1) × (1 − Discount2) × (1 − Discount3)

Solution: 

Discount1 = 20% = 0.20

Discount2 = 25% = 0.25

Discount3 = 35% = 0.35 

Now, 

33,150 = Marked Price × (1 − 0.20) × (1 − 0.25) × (1 − 0.35)

33,150 = Marked Price × 0.80 × 0.75 × 0.65

33,150 = Marked Price × 0.39

Marked Price = 33,1500.39 \frac{33,150}{0.39}​ = 85,000

Thus, the marked price of the item is ₹85,000

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