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A certain pair of used shoes can be repaired for $Rs.1250$ and will last for $1$ year. A pair of the same kind of shoes can be purchased new for $Rs.2800$ and will last for $2$ years. The average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes?

1. $5%$
2. $12%$
3. $15%$
4. $3%$
5. $24%$

edited | 162 views

Repaired shoes lasts $1$ year worth  $Rs. 1250$

New shoes lasts $2$ year worth $Rs. 2800$

So, for one year new shoes costs $Rs. 1400$

% greater of new shoes cost than the cost of repaired shoes  $(1400-1250 / 1250)$ = 12% (option b)
by Loyal (6.9k points)
edited
0
Can you explain ?
% greater of new shoes cost than the cost of repaired shoes  (1400−1250/1250)(1400−1250/1250) = 12% (option b)
Cost of repairing shoes for 1 year=1250

Cost of purchasing new shoes for 1 year=1400(since 2800 for 2 years)

Let cost per year of the new shoes is x% greater than cost of repairing used shoes.

Then,1400 is x% greater than 1250.

1400=(1+x/100)*1250

Now,1+x/100=1400/1250

1+x/100=1.12

x/100=.12

x=12
ago by Junior (967 points)