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  1. When a discount of 20% is given on a sweater, the profit is 28%. If the discount is 14%, then the profit is
    1. 42 percent
    2. 46.4 percent
    3. 33.2 percent
    4. 37.6 percent
Correct Option: D

Let the C.P. of sweater be Rs. 100 and its marked price be Rs. x.
According to the question,

x ×
80
= 128
100

⇒  x ×
4
= 128
5

⇒  x =
128 × 5
= Rs. 160
4

When discount = 14%, then
S.P. of sweater
= 160 × (100 – 1(4)%
=
160 × 86
= Rs. 137.6
100

∵  C.P. = Rs. 100
∴  Profit per cent = 37.6%



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