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  1. A reduction of 20% in the price of sugar enables a purchaser to obtain 8 kg more for Rs. 160. Then the price per kg before reduction was
    1. Rs. 5
    2. Rs. 6
    3. Rs. 10
    4. Rs. 4
Correct Option: A

Let the original price of sugar be Rs. x per kg.
Reduced price

= Rs
80x
= Rs.
4x
per kg.
1005

According to the question,
160
-
160
= 8
4x
x
5

40 × 5
-
160
= 8
xx

200
-
160
= 8
xx

40
= 8
x

⇒ 8x = 40
⇒ x =
40
= 5 per kg
8

Reduced Price
=
4x
=
4 × 5
= Rs. 4 per kg
55

Aliter : Using Rule 31,
Reduced price per kg.
=
21 × 160
= Rs. 4
100 × 8



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