Question

The profit realised by selling an article at Rs. 49.50 is 7/4 times the profit

realised by selling it at Rs. 45. Find the C.P. of the article.​

Answer 1

Given data:

The profit realised by selling an article at Rs. 49.50 is 7/4 times the profit realised by selling it at Rs. 45

To find: the C.P. of the article

Step-by-step explanation:

For the first case, profit1 = S.P.1 - C.P

• or, profit1 = 49.50 - C.P.

For the second case, profit2 = S.P.2 - C.P.

• or, profit2 = 45 - C.P.

By the given condition,

• profit1 = 7/4 × profit2

or, 49.50 - C.P. = 7/4 × (45 - C.P.)

or, 198 - 4 C.P. = 315 - 7 C.P.

or, 3 C.P. = 117

or, C.P. = 39

Answer: C.P. of the article is Rs. 39