Question
Evaluate: $\frac{7}{-27}+\frac{11}{18}$
✓
Answer
$\frac{7}{-27}+\frac{11}{18}$
L.C.M. of 27 and $18=2 \times 3 \times 3 \times 3=54$
$ \begin{aligned} & \Rightarrow \frac{7 \times 2}{-27 \times 2}+\frac{11 \times 3}{18 \times 3} \\ & (\because \text { L.C.M. of }-27 \text { and } 18=54) \\ & \Rightarrow \frac{-14+33}{54}=\frac{19}{54} \mathrm{} \end{aligned} $
| 2 | 27,18 |
| 3 | 27,9 |
| 3 | 9,3 |
| 3 | 3,1 |
| 1,1 |
L.C.M. of 27 and $18=2 \times 3 \times 3 \times 3=54$
$ \begin{aligned} & \Rightarrow \frac{7 \times 2}{-27 \times 2}+\frac{11 \times 3}{18 \times 3} \\ & (\because \text { L.C.M. of }-27 \text { and } 18=54) \\ & \Rightarrow \frac{-14+33}{54}=\frac{19}{54} \mathrm{} \end{aligned} $
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(a) 6 $\quad$$\quad$(b) 7$\quad$$\quad$ (c) 8$\quad$$\quad$ (d) 9
Q.2. He found that another fruitseller Ghanshyam was selling pears at 9 for₹90. Find the gain per cent of Ghanshyam. (Assume that the wholesale rate is the same for all fruitsellers.)
(a) $6 \frac{2}{3} \%$$\quad$$\quad$(b) $7 \frac{1}{2} \%$$\quad$$\quad$(c) $8 \frac{1}{3} \%$$\quad$$\quad$(d) $9 \frac{3}{3} \%$
Q.3. He decides to sell pears at the rate of 8 for₹90. Find his gain per cent :
(a) $15 \%$$\quad$$\quad$(b) $17 \frac{1}{2} \%$$\quad$$\quad$(c) $20 \%$$\quad$$\quad$(d) $22 \frac{1}{2} \%$
Q.4. In a box of 120 pears, he found that 24 were rotten and he had to throw them away. He sold the remaining pears at 8 for₹90. Find his gain or less per cent on this box :
(a) 2%, gain $\quad$$\quad$(b) 4%, loss $\quad$$\quad$$\quad$(c) 6%, gain$\quad$$\quad$ (d) 8%, loss
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Q.4. The ratio between the amounts received by Seema from the sale of the first and the second properties is :
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(a) ₹ 14,00,000 $\quad$$\quad$(b) ₹ 24,00,000$\quad$$\quad$ (c) ₹ 25,00,000 $\quad$$\quad$(d) ₹ 35,00,000
Q.2. What amount did Seema receive from the sale of first property?
(a) ₹ 14,00,000 $\quad$$\quad$(b) ₹ 24,00,000$\quad$$\quad$ (c) ₹ 25,00,000$\quad$$\quad$ (d) ₹ 49,00,000
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Q.4. The ratio between the amounts received by Seema from the sale of the first and the second properties is :
(a) $1: 1$$\quad$$\quad$ (b) $12: 7$$\quad$$\quad$ (c) $24: 25$ $\quad$$\quad$(d) $14: 35$
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