A publisher sells a book for ₹168 at a profit of 20% if his cost of production increased by 30% what should be the increase in the price of the book so that his percentage profit remains the same?
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3
Answer:
50.40
Step-by-step explanation:
Given, SP1 = Rs 168
Profit = 20%
Hence, SP1 is 120% of CP1
=>168 = \frac{120}{100}
100
120
×CP1
=>CP1 = 168×5/6
=28×5 = 140
Now, cost of production is increased by 30%
So, new cp, CP2 = 140× \frac{130}{100}
100
130
= 14×13 = 182
As per question, new profit percentage should be same as previous .
Hence new SP, SP2 = CP2 ×120%
= 182 × \frac{120}{100}
100
120
= 182 ×1.2 = 218.4
Increase in price of box = SP2-SP1
= 218.4 -168
= 50.4
Ans : Rs 50.40
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