Question
Download Solution PDFIf two mixers and one T.V cost Rs. 7000. While two T.Vs and one mixer cost Rs. 9800, calculate the value of two T.V.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Cost of 2 mixers and 1 T.V = ₹7000
Cost of 2 T.Vs and 1 mixer = ₹9800
Formula used:
Let the cost of 1 mixer be M and the cost of 1 T.V be T
2M + T = 7000
2T + M = 9800
Calculation:
2M + T = 7000 ...(i)
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
Substitute M = 1400 in equation (i):
⇒ 2 × 1400 + T = 7000
⇒ 2800 + T = 7000
⇒ T = 4200
⇒ 2T = 2 × 4200 = 8400
∴ The correct answer is option (2).
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