A watch dealer sells watches at Rs.45,220/- after two successive discounts of 15% and 20% respectively. What is the marked price? (in Rs.) 

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UP Police SI (दरोगा) Official PYP (Held On: 13 Nov 2021 Shift 1)
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  1. 66200
  2. 66300
  3. 66400
  4. 66500

Answer (Detailed Solution Below)

Option 4 : 66500
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UP Police SI (दरोगा) Official PYP (Held On: 2 Dec 2021 Shift 1)
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Detailed Solution

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Given:

Selling Price = Rs.45,220/-

Successive Discounts = 15% and 20%

Formula Used:

Marked Price = Selling Price / (1 - Discount1) × (1 - Discount2)

Calculation:

Discount1 = 15% = 0.15

Discount2 = 20% = 0.20

1 - Discount1 = 1 - 0.15 = 0.85

1 - Discount2 = 1 - 0.20 = 0.80

Marked Price = Selling Price / (0.85 × 0.80)

Marked Price = Rs.45,220 / 0.68

Marked Price = Rs.66,500

The marked price is Rs. 66500.

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