Question

Find CP, when SP is ₹6300 and gain is 5%.​

Answer 1

Let CP be 100

SP = 100 + 5 = 105

When SP is 105, CP is 100

When SP is 1, CP is 100/105

When SP is 6300, CP = 100/105 * 6300 = 6000 (Answer)

Answer 2

To find : cost price ( C.P )  = ?

Given : selling price ( S.P) $= Rs\ 6300$

        gain % $= 5\ \%$

• As we know C.P is the cost price is the actual price of product
• S.P is the selling price at which product is to be sold.
• Gain % is the profit or gain expressed in the form of percentage.

• Formula to find C.P :

                  $C.P =[ \frac{100}{(100 + gain \% )}\times S.P ]$

       Now , substituting  values in above formula we get C.P

                   $\mathrm{CP}=\left[\frac{100}{(100+\text { Gain } \%)} \times \\mathrm{SP}\right]\\\begin{array}{l}\mathrm{CP}=\mathrm{Rs}\left[\frac{100}\{(100+5)} \times 6300\right] \\\mathrm{CP}=\mathrm{Rs}\left(\frac{100}{105} \times 6300\right) \\\mathrm{CP}=\mathrm{Rs}\left(\frac{630000}{105}\right)\end{array}$

                    C.P = $Rs. \ 6000$

Hence , C.P is  $Rs. \ 6000$.