Sanjan sells a used phone for Rs. 7,260 and receives 34% less than the price at which he had originally bought it a few years ago. At what selling price should Sanjan have sold the phone in order to make a profit of 5% on his original cost price?

Introduction / Context:
This question involves both a loss situation and a hypothetical profit situation based on the same cost price. Sanjan sells a phone at a loss, and we are asked what the selling price should have been if he wanted to earn a 5% profit instead. Such problems frequently appear in profit and loss sections of aptitude exams and require careful handling of percentage decrease and percentage increase around the same cost price.

Given Data / Assumptions:

• Actual selling price of the phone = Rs. 7,260.
• This selling price is 34% less than the cost price.
• Let the original cost price of the phone be C.
• Required: selling price that gives a profit of 5% on C.
• All values are in rupees and there are no additional taxes or charges.

Concept / Approach:
If an item is sold at a discount of p% on the cost price, the selling price is (1 − p/100) times the cost price. Conversely, if we want a profit of q% on the same cost price, the selling price should be (1 + q/100) times the cost price. Here, we first reconstruct the original cost price from the given loss situation, and then compute the new selling price required for the desired profit percentage. Finally, we compare the computed value with the given options to see which one matches most closely.

Step-by-Step Solution:
Let cost price be C.Selling at 34% less means selling price SP1 = C * (1 − 34/100) = C * 0.66.We are told SP1 = 7,260, so C * 0.66 = 7260.Therefore, C = 7260 / 0.66.Compute C: C = 11,000.To earn a profit of 5%, desired selling price SP2 = C * 1.05.So SP2 = 11000 * 1.05 = Rs. 11,550.Therefore, to make a 5% profit, Sanjan needed to sell the phone for Rs. 11,550.

Verification / Alternative check:
Check the loss: 34% of 11,000 = 0.34 * 11000 = 3,740.Selling for 7,260 gives a loss of 11,000 − 7,260 = 3,740, which confirms the cost price is correct.Now check the profit case: 5% of 11,000 = 550; selling at 11,550 gives exactly this profit.Thus, Rs. 11,550 is the correct theoretical selling price for a 5% gain.

Why Other Options Are Wrong:
₹ 11,460, ₹ 11,480, and ₹ 11,440 are all below the required 11,550 and therefore provide a profit lower than 5%.None of these options matches the exact required selling price, so the correct choice is “None of these”.

Common Pitfalls:
A common error is to apply 34% directly to the selling price instead of understanding that 7,260 is 66% of the cost price.Some learners also incorrectly add 34% and 5% or treat them as symmetric changes, which is not valid for profit and loss calculations.Another mistake is to choose the option closest to 11,550 numerically instead of realizing that the question expects an exact value, making “None of these” correct.

Final Answer:
Sanjan should have sold the phone for Rs. 11,550 to gain 5%, so among the given options the correct choice is None of these.