Question

A publisher sells a book for₹168 at a profit of 20% .IF his cost of production increases by30%,what should be the increase in price so that his percentage of profit remains the same

Answer 1

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Given :

Selling price of book = ₹ 168

Profit % = 20%


Find the cost price of the book :-

C.P = (S.P × 100)/(profit + 100)
= (168 × 100)/(20 + 100)
= 16800/120
= 140

So, cost price of book = ₹ 140

Now,
His cost of production increased by 30%

Increased in cost price = 140 + 30% of 140
= 140 + 0.3 × 140
= 140 + 42
= 182


We know,
Profit % = 20%

So, The new selling price = 120% of 182
= 1.2 × 182
= 218.4

So, new selling price = ₹ 218.4


Increases in price = new S.P - old S.P
= ₹ ( 218.4 - 168)
= ₹ 50.4


Hence,
the increase in price so that his percentage of profit remains the same is ₹ 50.4