Question

If an article is sold for 50, a gain of 25% is earned, to gain 30% profit what will be selling
price of that article?​

Answer 1

Answer:

₹52

Step-by-step explanation:

Selling Price (SP) = ₹50

Gain = 25%

=> (100+25)% of CP = SP

=> 125% of CP = ₹50

=> 125/100 × CP = ₹50

=> CP = ₹50 × 4/5

=> CP = ₹40

Gain = 30% = 30/100 × ₹40 = ₹12

New SP = ₹40 + ₹12 = ₹52

Answer 2

Selling price of article should be Rs. 52.

Given - Selling price at 25% profit

Find - Selling price at 30% profit

Solution - CP = 100*SP/(100 + P%)

Keep the values in formula to find the value of CP

CP = $\frac{100}{100 + 25} \times 50$

CP = $\frac{5000}{125}$

CP = 40

Calculating SP for 30% profit -

SP = (100+P%)/100*CP

SP = $\frac{100 + 30}{100} \times 40$

SP = $\frac{130}{100} \times 40$

SP = 13*4

SP = Rs. 52

Hence, to gain 30% profit, article should be sold at Rs. 52.

#spj5