Question
Evaluate: $\left(\frac{-4}{5} \times \frac{3}{2}\right)+\left(\frac{9}{-5} \times \frac{10}{3}\right)-\left(\frac{-3}{2} \times \frac{-1}{4}\right)$
✓
Answer
$\begin{aligned} & \left(\frac{-4}{5} \times \frac{3}{2}\right)+\left(\frac{9}{-5} \times \frac{10}{3}\right)-\left(\frac{-3}{2} \times \frac{-1}{4}\right) \\ & =\left(\frac{-2 \times 3}{5 \times 1}\right)+\left(\frac{3 \times 2}{-1 \times 1}\right)-\left(\frac{-3 \times(-1)}{2 \times 4}\right) \\ & =\left(\frac{-6}{5}\right)+\left(\frac{-6}{1}\right)-\left(\frac{3}{8}\right) \\ & =\frac{-6 \times 8}{5 \times 8}-\frac{6 \times 40}{1 \times 40}-\frac{3 \times 5}{8 \times 5} \\ & =\frac{-48-240-15}{40} \\ & =\frac{-288-15}{40} \\ & =\frac{-303}{40}\end{aligned}$
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→Q.1. Sanjay repairs an HP laptop of Mr Lal. He charges ₹ 950 for the work. How long did the repair work take place?
(a) 6 hours$\quad$$\quad$ (b) 7 hours$\quad$$\quad$ (c) 8 hours$\quad$$\quad$ (d) 9 hours
Q.2. Sanjay repairs a Dell laptop of Mr Gupta. The total charges were ₹ 830. How long did the repair work take place?
(a) 5 hours $\quad$$\quad$(b) 6 hours$\quad$$\quad$ (c) 7 hours $\quad$$\quad$(d) 8 hours
Q.3. He repairs an HP laptop and a Dell laptop of Mr Subhash. He found that the repair work for both the laptops took equal time and also the service charges of the two laptops were the same. How long did the repair work take place for each laptop?
(a) 6 hours $\quad$$\quad$(b) 7 hours$\quad$$\quad$ (c) 8 hours$\quad$$\quad$ (d) 9 hours
Q.4. What were the total service charges that Mr. Subhash had to pay for both the laptops ?
(a) ₹ 1040 $\quad$$\quad$(b) ₹ 1260 $\quad$$\quad$(c) ₹ 2040$\quad$$\quad$ (d) ₹ 2520
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