Question

Manisha sold an article at ₹306 and suffered a loss of 10% . To make a profit of 25% ,at which price she should sellthe article?​

Answer 1

$\large\blue{\textsf{✩ Your Answer ✓ }}$

Let the cost price of the article be ₹100.

Then, selling price at a loss of 15 % = 100 - 15 = ₹85

Selling price for a gain of 9 % = ₹109

Difference between the two selling prices =

₹109 - ₹85 = ₹24

If the difference is ₹24, cost price = ₹100

If the difference was ₹30.60, cost price =

100 * 30.60 /24 = ₹127.50

Therefore, for making a gain of 10 % on cost price, he should have sold the item for ₹127.5 * 110 / 100

= ₹ 140.25 Answer

Check:

Cost Price = ₹ 127.50

Selling price at a loss of 15 % = ₹ 127.50 * 85 / 100

= ₹108.38

If he had sold it for ₹30.60 more, then, selling price

= ₹108.38 + ₹30.60 = ₹138.98

%Profit at this selling price ( ₹138.98) =

(138.98 - 127.50) * 100 / 127.50 = 11.48 * 100 / 127.50

= 9.00% ✓

Selling price for 10 % profit = 127.50 * 110 / 100

= ₹140.25 ✓

Answer 2

Answer:

Rs 425

Step-by-step explanation:

Selling price of article = Rs 306

She suffered a loss of 10%

Let the cost price be x

x - (10*x)/100 = 306

x - x/10 = 306

9x = 3060

x = Rs 340

Cost price = Rs 340

To make a profit of 25%, she needs to sell the article for 25% more of the cost price

25/100 * 340 = 85

25% of 340 = 85

So, to sell article she needs to sell article for Rs 340 + 85

= Rs 425