Question

A sewing machine is sold for 1020 at a profit of 6 1/4 %Find its cost prices
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Answer 1

Answer:

Profit= 25/4 %= 6.25% = 6.25/100×Rs 1020

Step-by-step explanation:

Given,

S. P. = Rs 1020

Profit= 25/4 %= 6.25% = 6.25/100×Rs 1020

I hope this helps you

Answer 2

Answer:

Given :-

• A sewing machine is sold for Rs 1020 at a profit of 6¼ %.

To Find :-

• What is the cost price ?

Solution :-

Given :

• Selling Price = Rs 1020
• Profit% = 6 1/4 % = 25/4 %

According to the question by using the formula we get,

$\implies \sf\boxed{\bold{C.P. =\: \bigg(\dfrac{100 \times S.P.}{100 + Profit\%}\bigg)}}$

$\implies \sf C.P. =\: \left (\dfrac{100 \times 1020}{100 + \dfrac{25}{4}} \right )$

$\implies \sf C.P. =\: \left (\dfrac{102000}{\dfrac{400 + 25}{4}} \right)$

$\implies \sf C.P. =\: \left (\dfrac{102000}{\dfrac{425}{4}} \right )$

$\implies \sf C.P. =\: \bigg(\dfrac{102000}{106.25}\bigg)$

$\implies \sf\bold{C.P. =\: Rs\: 960}$

∴ The cost price of a sewing machine is Rs 960 .

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❒ Extra Information ❒

1) Profit Formula :

★ Profit = S.P. - C.P. ★

2) Loss Formula :

★ Loss = C.P. - S.P. ★

3) Selling Price Formula if profit is given :

★ S.P. = C.P. + Profit ★

4) Selling Price Formula if loss is given :

★ S.P. = C.P. - Loss ★

5) Cost Price Formula if profit is given :

★ C.P. = S.P. - Profit ★

6) Cost Price Formula if loss is given :

★ C.P. = S.P. + Loss ★

7) Discount Percentage Formula :

$\mapsto \sf\boxed{\bold{Discount\% =\: \dfrac{Discount\: Amount}{M.P.} \times 100\%}}$

8) Selling Price Formula :

$\mapsto \sf\boxed{\bold{S.P. =\: M.P. - Discount\: Amount}}$

9) Cost Price Formula if selling price and profit% is given :

$\mapsto \sf\boxed{\bold{C.P. =\: \dfrac{100}{100 + Profit\%} \times S.P.}}$

10) Cost Price Formula if selling price and loss% is given :

$\mapsto \sf\boxed{\bold{C.P. =\: \dfrac{100}{100 - Loss\%} \times S.P.}}$