Mohit sold a T.V. for ₹ 3,600, gaining one-sixth of its selling price. Find :

(i) the gain.

(ii) the cost price of the T.V.

(iii) the gain percent.

(i) Given:

S.P. of T.V. = ₹ 3,600

Gain = one-sixth of its selling price

$\text{Gain}= ₹\Big(\dfrac{1}{6} \times 3,600\Big) \\[1em] = ₹ \dfrac{3,600}{6}\\[1em] = ₹ 600$

Gain = ₹600

(ii) As we know that,

Gain = S.P. - C.P.

Putting the values, we get

₹ 600 = ₹ 3,600 - C.P.

C.P. = ₹ 3,600 - ₹ 600

= ₹ 3,000

The cost price of the T.V. = ₹ 3,000.

(iii)

$\text{Gain \%} = \dfrac{\text{Gain}}{\text{C.P.}} \times 100\%\\[1em] = \dfrac{600}{3000} \times 100\%\\[1em] = \dfrac{1}{5} \times 100\%\\[1em] = \dfrac{100}{5}\%\\[1em] = 20\%$

Hence, T.V. is sold at a gain of 20%.