 Important for :
1
13 articles were bought for ₹ 5,980 and sold for ₹ 6,656. How much was the approximate profit percentage per article ?
» Explain it
B
Cost price of 13 articles = ₹ 5,980

Selling price of 13 articles = ₹ 6,656

Profit = SP – CP = 6656 – 5980 = ₹ 676

 Profit % = Profit × 100 = 676 × 100 = 11.30%  ≈  11% CP 5980

Hence, option B is correct.

2
Varun sold an item for ₹ 6,384 and incurred a loss of 30%. At what price should he have sold the item to have gained a profit of 30% ?
» Explain it
B
Method I :

 New SP = 100 + Gain% × Old SP 100 – Loss%

 = 100 + 30 × 6384  = 130 × 6384 100 – 30 70

∴  New SP = ₹ 11,856

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Method II :

Let the cost price of the article be x

According to the question, we get

70% of x = 6384

 x = 6384 × 100 = 9120 70

Reqd profit % = 130% of 9120  =  ₹ 11,856

Hence, option B is correct.

3
Rahul incurred a loss of 55 per cent on selling an article for ₹ 9,549. What was the cost price of the article ?
» Explain it
C
We know that,

 Cost price = ( 100 ) × SP 100 – Loss%

 = 100 × 9549 = 100 × 9549  =  ₹ 21,220 100 – 55 45

Hence, option C is correct.

4
Sanjay purchased an article for ₹ 1850. At what price should he sell it so that he earns a profit of 30% ?
» Explain it
C
We know that,

 SP = 100 + profit% × CP 100

 = 100 + 30 × 1850 = 130 × 1850  =  ₹ 2405 100 100

Hence, option C is correct.

5
A TV when sold for ₹ 7038 earned a profit of 15%. What was its cost price ?
» Explain it
C
We know that

 CP = 100 × SP 100 + profit%

 = 100 × 7038 = 100 × 7038  =  ₹ 6120 100 + 15 115

Hence, option C is correct.