Question

If the difference between selling a shirt at a profit of 10% and 15% is Rs 10, then the cost price is​

Answer 1

$\huge\dag \underline{ \boxed{ \sf{ \purple{Solution}}}} \dag$

Let the cost price of the shirt is 'x' rupees.

Selling price of 10% profit (SP1) = 1.10x

Selling price of 15% profit (SP2) = 1.15x

Given difference between selling prices is 10 rupees

$\fbox \red{ \sf \: i.e., SP2-SP1 =10}$

$\fbox \red{ \sf1.15x-1.10x= 10}$

$\fbox \red{ \sf0.05x=10}$

$\boxed{\sf \: x= \frac{10}{0.05} }$

$\fbox \red{ \sf \: x=200}$

Therefore Cost price of shirt = 200 rupees

Now the selling price of the shirts are

SP1 = 1.10x = 1.10 × 200 = 220

SP2 = 1.15x = 1.15 × 200 = 230

Therefore the selling prices of the shirt are 220 and 230.

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