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?

Let the total price of the mobile phone is Rs. $$60X$$.

Ramesh paid 1/6 of the price via UPI i.e. $$60X\times\ \dfrac{1}{6}=10X$$

Further, he paid 1/3 of the price via cash i.e. $$60X\times\ \dfrac{1}{3}=20X$$

Remaining amount to be paid by Ramesh = $$60X-10X-20X=30X$$

Further, 10% interest charged on the balance amount = Rs. 6,000

Or, we can say, $$10\%$$ of $$30X=6,000$$

i.e. $$3X=6,000$$

Or, $$X=2,000$$

Since the total price of the mobile phone was 60X, the actual cost is $$60\times\ 2,000\ =\ Rs.\ 1,20,000$$