Question

By selling a bag for ₹896, a profit of 12% is made. Find the cost price of the bag.

Answer 1

Answer :-

Given :-

• Selling Price = ₹896
• Profit percentage = 12%

To Find :-

• Cost price

Solution :-

We know that,

$\sf CP = \frac{100}{100+P\%} \times SP$

Substituting the value in formula -

$\sf CP = \frac{100}{100+12} \times 896$

$\sf CP = \frac{100}{112} \times 896$

$\sf CP = 8 \times 100$

$\sf CP = 100$

Cost price of bag is ₹ 100

Answer 2

GivEn:

• SP of bag = ₹896
• Profile% = 12%

To finD:

• Find CP of bag

Solution:

Here, we have given that on selling a bag on ₹896, profit made is 12%.

Formula using:

When SP and profit% is given and have to find CP then formula is :-

CP = $\large{\tt{\frac{100×SP}{100+profit ~percent}}}$

Now, we found a formula to find CP of bag .

Substituting values in formula:

CP = $\large{\tt{\frac{100×SP}{100+profit\%}}}$

=> $\large{\tt{\frac{100×896}{100+12}}}$

=> $\large{\tt{\frac{100×896}{112}}}$

=> $\large{\tt{100×8}}$

=> $\large{\tt{ 800}}$

∴ CP of object = ₹800