Question

A shopkeeper sells an article for Rs. 60 at a profit of 20%. At what price should he sell it to gain 30%?

Rs. 53

Rs. 65

Rs. 68

Rs. 70​

Answer 1

Answer:

Rs.65

Step-by-step explanation:

1ST CONDITION:

SP = 60 PROFIT = 20

PROFIT = (SP - CP / CP )*100

20 = (60 - X / X) *100

CP = X = 50

2ND CONDITION :

CP = 50 SP = X PROFIT = 30

30 = (X - 50 / 50 )*100, 30 = (X - 50)*2, 15 = X-50

SP = X = 65

Answer 2

If he sell the article for 65 rupees, he can gain 30%.

Option - B

Step-by-step explanation:

Given:

A shopkeeper sells an article for Rs. 60 at a profit of 20%. At what price should he sell it to gain 30%?  

Solution:

120% of cost price = 60

Let the cost price be x

$\frac{120 \times x}{100}$ = 60

x = $\frac{60 \times100}{120}$= 50 rupees.

To gain 30 %, $\frac{30 \times 50}{100}$  = 15 rupees.

The article should be sold at 50 + 15 = 65 rupees

To know more:

A shopkeeper sells an article at a profit of 10%.if the article costs him rs.1960,find its selling price.

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A shopkeeper sells an article at rs. 40 and gets x% profit. however, when he sells it at rs. 20, he faces same percentage of loss. what is the original cost of the article

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