Directions: Read the following questions carefully and answer them:
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

______________________________________

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.