Question

A shopkeeper sold an article for Rs 399 and thereby incurred a loss of 5% Had he sold the article at a profit of 40%, what would have been the
selling price of the article ?
O Rs. 564
O Rs 572
O RS. 542
O Rs. 588
O Rs 576​

Answer 1

✬ S.P = Rs 588 ✬

Step-by-step explanation:

Given:

• A shopkeeper sold ab article for Rs 399.
• He faced a loss of 5% on selling.

To Find:

• If he sold the article at 40% profit then what would be S.P ?

Solution: We have given with S.P and Loss % and to find C.P if S.P & Loss % are given we use the formula

★ C.P = (100/100 – Loss %)S.P ★

$\implies{\rm }$ (100/100 – 5) $\times$ 399

$\implies{\rm }$ 100/95 $\times$ 399

$\implies{\rm }$ 39900/95

$\implies{\rm }$ Rs 420.

So, Cost price of article was Rs 420.

[ To make 40% profit ]

★ S.P = (100 + Profit%/100)C.P ★

$\implies{\rm }$ (100 + 40/100) $\times$ 420

$\implies{\rm }$ 140/100 $\times$ 420

$\implies{\rm }$ 58800/100

$\implies{\rm }$ Rs 588

Hence, If he want to makes a profit of 40% then he should sell the article at Rs 588.

Option 4 is correct.

Answer 2

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Given :-

• A shopkeeper sold an article for Rs 399.

• He faced a loss of 5% on selling.

• If he sold the article at 40% profit.

To Find :-

✏ The selling price of the article on profit 40%.

Calculation :-

According to the question,

Using :- C.P = (100/100 – Loss %)S.P

Where, The loss % is 5% & S.P. = Rs 399

⟹ (100/100 – 5)× 399

⟹ 100/95 × 399

⟹ 39900/95

⟹ 420.

♐ Hence , The C.P. is Rs 420.

✳ Now, considering profit % = 40% & C.P. Rs 420.

Using :- S.P = (100 + Profit%/100)C.P

⟹ (100 + 40/100)× 420

⟹ 140/100 × 420

⟹ 58800/100

⟹ 588

Hence, The selling price of the article on profit 40% is Rs. 588.

➡ Option D. Rs 588.

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