Question

A Watch sold for Rs. 448 give a profit of only 12%. Find the profit % if the selling price had been Rs. 512

Answer 1

We know profit and loss is

always calculatedon Cost Price (CP)

X*112/100= 448

Therefore,X = 448*100/112

=> Rs 400


The CP of the watch is Rs 400

The Selling price is Rs 512

Profit = 512 - 400 = Rs 112

profit % = 112/400 * 100%

=> 28% profit

Answer 2

$\mathfrak{Step-By-Step\:Explanation:}$

$\bold{In\:first\:Case:}$

• Selling Price = Rs. 448.
• Rate = 12%.

$\boxed{\bold{Cost\:price=SP\left(\dfrac{100}{100+p\%}\right).}}\\\\\\\tt{=448\times\dfrac{100}{112}}\\\\\\\tt{=Rs.400.}\\\\\\\bold{In\:2nd\:Case:}$

• CP = Rs. 400
• SP = Rs. 512

Selling price is the greater than cost price .

$\bold{Gain=SP-CP}\\\\\\\tt{=512-400}\\\\\\\tt{=112.}\\\\\\\boxed{\bold{Gain\%=\dfrac{gain\times100}{CP}}}\\\\\\\tt{=\dfrac{112\times 100}{400}}\\\\\\\tt{=28\%.}\\\\\\\boxed{\boxed{\bold{Gain\%=28\%.}}}$