Question

A retailer sold bat at 25% profit. Cost price of 5 bats is equal to cost price of 4 balls. On ball retailer earns 40% profit. If on selling one bat and one ball he earns Rs. 45 profit then find cost price of ball

Answer 1

cp be rs1

then cp of 15 balls= sp of 25 balls=15rs

then cp of 25 balls=25rs , sp of 25 balls=15rs

profit/loss =sp -cp=15-25=10rs loss.

loss % = 10/25 ×100 =40 % loss

use this concept in your question

Answer 2

Answer:

Rs.75

Step-by-step explanation:

Let the CP of 1 bat be x

Profit % = 25%

Profit = $\frac{25}{100}x=0.25x$

CP of 5 bats = 5x

We are given that Cost price of 5 bats is equal to cost price of 4 balls.

So, CP of 4 balls = 5x

CP of 1 ball = $\frac{5}{4}x$

Profit% = 40%

Profit =  $\frac{40}{100} \times \frac{5}{4}x = 0.5 x$

we are given that on selling one bat and one ball he earns Rs. 45 profit

So, $0.25x+0.5x = 45\\0.75x=45\\x=\frac{45}{0.75}\\x=60$

CP of 1 ball = $\frac{5}{4}x = \frac{5}{4}(60)=75$

Hence cost price of ball is Rs.75