'अ' ने 'ब' ला एक वस्तु १० टक्के नफ्याने विकली. 'ब' ने तीच वस्तु परत 'अ' ला १० टक्के तोट्याने विकली, तर या व्यवहारामध्ये काय झाले ?

📐 Formula Used:

Successive Transaction Accounting:

Cost = 100. A sells to B at 110. B sells back to A at 10% loss = 110 - 11 = 99.

A gains 11 on buyback, or 1% net transaction profit.

Given:

'A' sells an article to 'B' at a profit of 10%. 'B' sells the article back to 'A' at a loss of 10%.

Formula used:

Cost Price (CP) and Selling Price (SP) relationship for profit and loss:

SP = CP × \(\left(1+\frac{\text{Profit%}}{100}\right) \)

CP = SP × \(\left(1-\frac{\text{Loss%}}{100}\right) \)

Calculations:

Let the initial cost price of the article for 'A' be ₹100.

When 'A' sells to 'B' at a 10% profit:

SP for 'A' = 100 × \(\left(1+\frac{10}{100}\right) \) = ₹110

'B' buys at ₹110 and sells it back to 'A' at a 10% loss:

SP for 'B' = 110 × \(\left(1-\frac{10}{100}\right) \) = ₹99

Now, 'A' bought the article back at ₹99. His cost price was ₹100 initially.

Net gain for 'A' = Initial CP - Final SP

Net profit% = \(\frac{\text{Gain}}{\text{Initial CP}} \times 100\)

⇒ Net profit% = \(\frac{100-99}{100} × 100\)

⇒ Net profit% = 1%

∴ The correct answer is option (2).