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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

Given that , The cost of manufacture of a tape recorder = $ 1,500

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

Gain =
1500 × 8
= $ 120
100

Discount = 1800 – (1500 + 120) = $ 180
Let Discount percent = y%, then
1800 × y
= 180
100

⇒ y = 10%
Second method to solve this question :
If the discount be d%, then
20 – d –
20d
= 8
100

⇒ 20 -
6d
= 8
5

6d
= 20 – 8 = 12
5

⇒ d =
12 × 5
= 10%
6



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