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Percentage and Interest Calculation for Purchase

XAT 2025 · Quantitative Ability & Data Interpretation · Easy · Arithmetic

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Ramesh bought a mobile from a local store. He paid 1/6 of the price via UPI and 1/3 of the price via cash. He agreed to pay the balance amount a year later. While paying back the balance amount, Ramesh paid 10% interest on the balance amount. If the interest paid was Rs. 6000, what was the original price of the mobile?

  1. A.

    Rs. 120000

  2. B.

    Rs. 110000

  3. C.

    Rs. 100000

  4. D.

    Rs. 90000

  5. E.

    Rs. 150000

Answer

A

Explanation

Let the original price of the mobile be PP. Fraction paid initially = 16+13=12\frac{1}{6} + \frac{1}{3} = \frac{1}{2}. Balance amount = P−12P=12PP - \frac{1}{2}P = \frac{1}{2}P. Interest paid = 10%10\% of 12P=0.05P\frac{1}{2}P = 0.05 P. Given 0.05P=6000  ⟹  P=60000.05=120,0000.05 P = 6000 \implies P = \frac{6000}{0.05} = 120,000.

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