Question

a watch is marked in such a way that after allowing a discount of 10% he gains 26% how much percent above the CP is the Marked price

Answer 1

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▶Let the,

➧ CP = 100

➧ SP = 100 +19
➾ 119

➧ Let the marked price be x.

➧ Then, 85 % of x = 119

➾ 85 / 100 × x
➾ 119

➧ x = 119 × 100 / 85
➾ 140

➧ So, Marked price is
➾ 40 % ...✔

_________
Thanks...✊

Answer 2

The answer is 40 %

GIVEN

A watch is marked in such a way that after allowing a discount of 10% he gains 26%.

TO FIND

How much percent above the CP is the Marked price.

SOLUTION

We can simply solve the above problem as follows;

Let the cost price of the watch = Rs x

Marked price = Rs y

Net Profit% on the watch = 26%

Profit = 26% of x = 0.26x

Selling price of the watch = Cost price + Profit

= x + 0.26x = 1.26x

And,

Discount = 10% of y

Discount = 0.1y

We know that,

Marked Price = Selling price + Discount

y = 1.26x + 0.1y

y-0.1y = 1.26x

0.9y = 1.26x

y = 1.26x/0.9 = 1.4x

Difference between Marked price and Cost price of the watch

= 1.4x - x = 0.4x

Percentage difference =

$= \frac{0.4x}{x} \times 100$

= 40%

Hence, The answer is 40 %

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