Question

A shopkeeper bought locks at the rate of 8 locks for rupees 34 and sold them at the rate of 12 locks for rupees 57 . calculate his gain percent and the no. of lockshe should sell to earn profit of rupees 45

Answer 1

Answer:

1 lock coast price=34/8=4.25 rupee

1 lock selling price=57/12= 4.75

profit = selling-cost price=4.75-4.25

=0.50

then in order to make 45

45/0.5=90

90 locks...!!!!!

Answer 2

Given:

A shopkeeper bought locks at the rate of 8 locks for rupees 34 and sold them at the rate of 12 locks for rupees 57

To Find:

calculate his gain per cent and the no. of lock he should sell to earn a profit of rupees 45

Solution:

It is given that the rate of 8 locks is Rs34 so the CP of the lock will be

$CP=\frac{34}{8} \\=4.25$

So the CP of one lock will be Rs4.25 and then it is given that it is then sold at the rate of 12 locks for Rs57. So calculating the SP of the lock

$SP=\frac{57}{12}\\=4.75$

So the SP of one lock will be Rs4.75

Now calculating the profit %

$Profit\%=\frac{SP-CP}{CP} *100\\=\frac{4.75-4.25}{4.25} *100\\\\=\frac{0.5}{4.25}*100\\=11.76\%$

Now in one lock, she is having a profit of Rs0.5 so to earn a profit of Rs45 he would need to sell 45/0.5=90 locks

Hence, his gain per cent is 11.76% and he needs to sell 90 locks to earn a profit of Rs45.