Question

By selling a table for 3 550, a trader gains 10% Find the cost price of the table.​

Answer 1

Step-by-step explanation:

Let the C.P of the table be Rs. 100.We have, Gain = 10

$\huge \pink{~} \red {τ} \green {α} \blue {v} \orange {v} \pink {u} \red {♡}$

Answer 2

Answer:

Appropriate Question :-

• By selling a table for Rs 550, a trader gains 10%. Find the cost price of the table.

Given :-

• A trader sells a table for Rs 550, a trader gains 10%.

To Find :-

• What is the cost price of the table.

Formula Used :-

$\clubsuit$ Cost Price or C.P. Formula :

$\bigstar \: \: \sf\boxed{\bold{\pink{C.P. =\: \dfrac{100}{100 + Gain\%} \times S.P.}}}\: \: \: \bigstar$

where,

• C.P. = Cost Price
• S.P. = Selling Price

Solution :-

Given :

• Selling Price (S.P.) = Rs 550
• Gain% = 10%

According to the question by using the formula we get,

$\implies \bf C.P._{(Table)} =\: \dfrac{100}{100 + Gain\%} \times S.P.$

$\implies \sf C.P._{(Table)} =\: \dfrac{100}{100 + 10} \times 550$

$\implies \sf C.P._{(Table)} =\: \dfrac{100}{110} \times 550$

$\implies \sf C.P._{(Table)} =\: \dfrac{100 \times 550}{110}$

$\implies \sf C.P._{(Table)} =\: \dfrac{5500\cancel{0}}{11\cancel{0}}$

$\implies \sf C.P._{(Table)} =\: \dfrac{\cancel{5500}}{\cancel{11}}$

$\implies \sf C.P._{(Table)} =\: \dfrac{500}{1}$

$\implies \sf\bold{\red{C.P._{(Table)} =\: Rs\: 500}}$

$\sf\bold{\underline{\purple{\therefore\: The\: cost\: price\: of\: the\: table\: is\: Rs\: 500\: .}}}$