Question

By selling a table for Rs. 6300, a trader gains 5%. Find the cost price of the table

Answer 1

Answer:

Let the C.P of the table be Rs. 100.

We have, Gain =10%=10% of Rs. 100=Rs. 10

∴S.P=C.P+Gain=Rs.(100+10)=Rs.110

Now, if the S.P is 110, then the C.P=Rs.100

If the S.P is Rs. 1, then the C.P =

110

100

If the S.P is Rs. 330, then the C.P =Rs.

110

100×330

=Rs.300

Hence, the C.P of the table is Rs.300.

Answer 2

☯GIVEN :

• Selling price of the table (SP) = Rs 6300

• Gain% = 5%

☯TO FIND :

• Cost price of the table (CP).

☯FORMULA REQUIRED :

• $\bigstar{ \underline{\boxed{ \bf{ \red{CP = \dfrac{100}{(100 + Gain\%)} \times SP}}}}} \bigstar$

➲SOLUTION :

Substituting the given values :

$: \implies{\sf{CP = \bigg[\dfrac{100}{(100 + Gain\%)} \times SP\bigg]}}$

$: \implies{\sf{CP = Rs \: \bigg [ \dfrac{100}{(100 + 5)} \times 6300 \bigg ]}}$

$: \implies{\sf{CP = Rs \: \bigg (\dfrac{100}{105} \times 6300 \bigg )}}$

$: \implies{\sf{CP = Rs \: \bigg ( \cancel{\dfrac{630000}{105} }\bigg )}}$

$: \implies{ \underline{\boxed{\bf{ \red{CP = Rs \:6000}}}}}$

$\huge{\pink{\therefore}}$ Cost price of the table is Rs 6000.