A shopkeeper sells 25 articles at Rs 45 per article after giving 10% discount and earns 50% profit. If the discount is not given, find the profit gained in percentage.

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

66.6%

77.7%

88.8%

99.9%

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Concept: Using the relation

.First determine the marked price MP of an item if the discount percentage D is 10%, and then determine the cost price of an item if the shopkeeper makes a 50% profit. Next, determine the profit made from each article and the new profit that was earned in percentage.
We are aware that

is the formula for the selling price (SP) and the discount percentage (D) in terms of the marked price (MP).
One article is claimed to have a selling price (SP) of 45 rupees.
By substituting the marked price MP and selling price SP values in the aforementioned formula for the discount percentage D,

is the result.

is the result of multiplying both sides by 100, and when the terms are cross multiplied, we obtain
Question Image

According to legend, the shopkeeper makes a profit of 50% (P).
We are aware that the formula for cost price CP is presented as selling price SP + profit percentage P.
Question Image

We are aware that the formula for profit PF is given as PF = SP-CP. Using the formula above, we obtain,

The profit percentage P is given as follows in terms of profit and CP:
Question Image

Hence, the correct answer is option 1.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th