A reduction of 21% in the price of an item enables a person to buy 3 kg more for Rs.100. The reduced price of item per kg is
Options:
A . Rs.5.50
B . Rs.10.50
C . Rs.7.00
D . Rs.7.50
Answer: Option C Answer: (c) Original price of article = Rs.x per kg. New price = Rs.${79x}/100$ per kg $100/{{79x}/100} - 100/x = 3$ $10000/{79x} - 100/x = 3$ ${10000 - 7900}/{79x} = 3$ $2100/{79x} = 3$ $700/{79x} = 1$ $79x = 700 ⇒ x = 700/79$ New price = ${79x}/100 = 79/100 × 700/79$ = Rs.7 per kg Using Rule 31, Reduced price per kg. = ${21 × 100}/{100 × 3}$ = Rs.7
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