Question

If the Price of an article is increased by 10% total
sales are reduced by 6% Find change in value​

Answer 1

Answer:

Suppose n units of article are sold earlier

Now 0.9 units are sold

Let cost price of article=x

sell price of article=y

Profit=sales revenue =y−x [oneaside]

New sell price=y+

100

p

y

New sales revenue=y+

100

p

y−x [oneaside]

Now,

n(y−x)1.1=0.3n(y+

100

p

y−x)

(y−x)1.1=0.3(y+

100

p

y−x)

1.1(y−x)=0.9(y−x)+

100

p

y×0.9

Put x=0 [Insidecostprice=0]

0.2y =

100

0.9py

p=

9

200

=22

9

2

Answer 2

Answer:

Let the price of each article = ₹ 100

and let number of article sold = 100

so sale proceed = ₹10000

Case II

Now price of each article = 100 + 10% 0f 100 = 100 + 10 = 110

Number of articles sold = 100 - 6% of 100 = 94

Sale proceed = 110 × 94 = ₹ 10340

Change in value = ₹ 10340 - ₹10000 = ₹340

%age increase =

$\frac{340}{10000} \times 100\% \\ = 3.4\%$