Xavier Aptitude Test 2025 Paper

Concept:Find the balance amount left after the initial payments, then use the interest paid on that balance to determine the original price.Explanation:Let the original price of the mobile be Rs. $P$.Ramesh paid $\frac{1}{6}$ of the price by UPI, which is $\frac{P}{6}$.He paid $\frac{1}{3}$ of the price in cash, which is $\frac{P}{3}$.Total amount paid initially is $\frac{P}{6} + \frac{P}{3} = \frac{P}{2}$.So, the balance amount is $P - \frac{P}{2} = \frac{P}{2}$.Interest was charged at $10\%$ on this balance amount.Therefore, interest paid $= 10\% \times \frac{P}{2} = \frac{P}{20}$.It is given that the interest paid is Rs. $6{,}000$.So, $\frac{P}{20} = 6{,}000$.Multiplying both sides by $20$, we get $P = 6{,}000 \times 20 = 1{,}20{,}000$.Thus, the original price of the mobile is Rs. $1{,}20{,}000$.Answer:Rs. $1{,}20{,}000$ (Option A).