Question

A shopkeeper purchased 60 pencil boxes for ₹4500 and sold at the rate of ₹4125 for 50 pencil boxes. How much profit present does he make on selling all pencil boxes?​

Answer 1

The profit present he made on selling all pencil boxes is Rs.450

Step-by-step explanation:

Given:

Cost of 60 pencil boxes$= Rs. 4500$

Rate of 50 pencil boxes$=Rs. 4125$

To be found:The profit made on selling all pencil boxes

Formula used:Profit gained= Actual cost- selling cost

Therefore,

We know that cost of 60 pencil boxes is 4500 Rs.,so cost of 1 pencil box is given by,

$=\frac{4500}{60} \\=Rs.75$

Similarly,we know the selling price of 50 pencil boxes is Rs.4125,so the selling price of 1 pencil box is given by,

$=\frac{4125}{50} \\=Rs.82.5$

Profit earned by selling one pencil box is given by,

$=82.5-75\\=Rs.7.5$

Hence ,the profit earned by selling all 60 pencil boxes is given by,

$=7.5*60\\=Rs.450$

Therefore,the profit earned by selling all pencil boxes is Rs.450

Answer 2

Given: CP of $6$ pencil boxes$= Rs 4500$

SP of $50$ pencil boxes $= Rs 4125$

Find: The profit %

According to the question

CP of $60$ pencil boxes $= Rs 4500$

CP of $1$ pencil boxes $=\frac{4500}{60}$

$=75$

CP of $50$ pencil boxes $=75\times 50$

SP of $50$ pencil boxes $=Rs 4125$

$SP > CP$

So profit $=SP-CP$

$=4125-3750$

$=375$

Profit % $=\frac{375}{3750}\times 100$

$=10$ %