Question

1. Three brothers Taha, Talha and Tahir bought a colour television set.tahq paid one fourth of the cost‚taha paid RS.660 more than Taha and Tahir paid RS.220 more than Talha. what was the cost of the set?​

Answer 1

Answer:

Rs. 6160

Step-by-step explanation:

let the cost of TV be x

amount paid by Taha = 1/4 x

amount paid by Talha = 1/4 x + 660

amount paid by Tahir = 1/4 x + 660 + 220 = 1/4 + 880

total amount paid by the three brothers

$\frac{1}{4} x + \frac{1}{4} x + 660 + \frac{1}{4} x + 880 = x \\ \frac{1}{4} x + \frac{1}{4} x + \frac{1}{4} x + 1540 = x \\ \frac{3}{4} x + 1540 = x \\ x - \frac{3}{4} x = 1540 \\ \frac{1}{4} x = 1540 \\ x = 1540 \times 4 \\ x = 6160$

The cost of TV is Rs. 6160

amount paid by Taha = 1/4 × 6160 = 1540

amount paid by Talha = 1/4 × 6160 + 660 = 1540 + 660 = 2200

amount paid by Tahir = 1/4 × 6160 + 880 = 1540 + 880 = 2420

1540 + 2200 + 2420 = 6160

Therefore the total cost of TV is = Rs. 6160

Hope you get your answer