Question

Marked price of article A is 40% more than
its cost price. Profit earned when article A
was sold after giving two successive discounts
of 10% each is Rs., 53.60. If article A is sold
at 30% profit, what would be its selling price?​

Answer 1

Selling price is Rs. 61.446/-

Step-by-step explanation:

Let us assume that,

The cost price of article is Rs.100/-

According to the questions,

And Marked price is 40 % more than the cost price,

Then,

Marked price of article is Rs.140/-

Discount is always given on a market price ,

So, the successive discount of 10 % on a market price,

= $\frac{140}{10}\times 100$

= 14

Then,

= 140 - 14 = 126

Again 10 % discount,

= $\frac{126}{10}\times 100$

= 12.6

Then, 126 - 12.6 = 113.4

So,

113.4 = 53.60

100 = $\frac{53.60}{113.4}\times 100$

100 = 47.266656

Cost price is 47.26656

30 % Profit on a cost price,

130% = $\frac{53.60}{113.4}\times 130$

130% = 61.446

Selling price is Rs. 61.446/-

Answer 2

The selling price of the article is Rs.520

Step-by-step explanation:

Given:

Marked price of article A is 40% more than its cost price. Profit earned when article A  was sold after giving two successive discounts of 10% each is Rs., 53.60.

If article A is sold at 30% profit, what would be its selling price?

Solution:

MARKET PRICE = 40% more than cost price =1.4x

After two discounts, Selling price = $1.4x \times 0.9 \times 0.9$= 1.134x

Profit = SP – CP,

53.60 = $1.134x - x$

X = 400.

If the article is sold at 30%,

then

1.3 $\times$ 400 = 520.  Rs.

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