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
Options:
A . Rs.5
B . Rs.10
C . Rs.4
D . Rs.6
Answer: Option A Answer: (a) Let the original price of sugar be Rs. x per kg. Reduced price = Rs. ${80x}/100 = Rs.{4x}/5$ per kg. According to the question, $160/{{4x}/5} - 160/x$ = 8 ${40 × 5}/x - 160/x = 8$ $200/x - 160/x = 8$ $40/x = 8 ⇒ 8x = 40 ⇒ x = 40/8 = 5$ per kg. Reduced Price = ${4x}/5 = {4 × 5}/5$ = Rs. 4 per kg Using Rule 31, Reduced price per kg. = ${21 × 160}/{100 × 8}$ = Rs. 4
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