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  1. The cost of manufacture of a tape recorder is ₹ 1,500. The manufacturer fixes the marked price 20% above the cost of manufacture and allows a discount in such a way as to get a profit of 8%. The rate of discount is
    1. 12%
    2. 8%
    3. 20%
    4. 10%
Correct Option: D

Marked price of tape recorder =
1500 × 120
= ₹ 1800
100

Gain =
1500 × 8
= ₹ 120
100

Discount = 1800 – (1500 + 120) = ₹ 180
Let Discount percent = d%, then
1800 × d
= 180 ⇒ d = 10%
100

Second Method to solve this question :
If the discount be y%, then
20 − y −
20y
= 8
100

⇒  20 −
6y
= 8
5

⇒ 
6y
= 20 − 8 = 12
5

⇒  y =
12 × 5
= 10%
6



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