Two mixers and one TV cost ₹7,000, while two TVs and one mixer cost ₹9,800. The value of one TV is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e 4200.
Let the cost of 1 mixer be M and the cost of 1 T.V be T
2M + T = 7000 ...(i) and 2T + M = 9800 ...(ii)
From equation (i), multiply by 2: ⇒ 4M + 2T = 14000 ...(iii)
From equation (ii), multiply by 1: ⇒ 2T + M = 9800
Subtract equation (ii) from equation (iii):
⇒ 4M + 2T - (2T + M) = 14000 - 9800 ⇒ 4M + 2T - 2T - M = 4200 ⇒ 3M = 4200 ⇒ M = 1400
hence
⇒ 2 × 1400 + T = 7000 ⇒ 2800 + T = 7000 ⇒ T = 4200