Marked price of an article was 40% above the cost price. When it was sold allowing 15% discount, there was a gain of Rs. 1900. Find the marked price of the article.​

9514 1404 393

  ₹14000

Step-by-step explanation:

Let c represent the cost price, and m represent the marked price.

  c × (1 +40%) = m

  m × (1 -15%) - c = ₹1900

Using the first expression for m, the second equation becomes ...

  1.40c×0.85 -c = ₹1900

  0.19c = ₹1900

  c = ₹1900/0.19 = ₹10000

Then the marked price was ...

  m = 1.40c = 1.40×₹10000 = ₹14000

The marked price was ₹14000.

The selling price was ₹11900.

25/4

step-by-step explanation:

call segment cd's length x. because dc and ab are parallel, angle acd and cab, so triangles adc and abc are similar and we can set up the equation x / ac = ac / ab, or x / 5 = 5 / 4 and x = 25/4.

answer is

b.

1.67

hope you get this right.