Question
Solve: $\frac{x+1}{3}+\frac{x+4}{5}=\frac{x-4}{7}$
✓
Answer
$\begin{aligned} & \frac{x+1}{3}+\frac{x+4}{5}=\frac{x-4}{7} \\ & \frac{x+1}{3}+\frac{x+4}{5}-\frac{x-4}{7}=0 \\ & \frac{35(x+1)+21(x+4)-15(x-4)}{105}=0 \\ & 35 x+35+21 x+84-15 x+60=0 \\ & 41 x+179=0 \\ & 41 x=-179 \\ & x=\frac{-179}{41} \\ & x=-4 \frac{15}{41}\end{aligned}$
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Ranjan Singh makes statues of brass. Brass is an alloy of copper and zinc. Ranjan uses two varieties of brass for different kinds of statues. Variety 1 contains copper and zinc mixed in the ratio $7: 4$ and variety 2 contains these metals in the ratio $5: 3$. Ranjan makes an elephant statue from variety 1 and a horse statue from variety 2. The elephant statue weighs 176 g and it is known that the brass used in the horse statue contains 135 g zinc.
Q.1. Find the quantity of copper present in the brass used to make the elephant statue.
(a) 98 g $\quad$$\quad$(b) 112 g$\quad$$\quad$ (c) 121 g $\quad$$\quad$(d) 132 g
Q.2. How much copper is contained in the brass used to make the horse statue?
(a) 165 g $\quad$$\quad$(b) 175 g$\quad$$\quad$ (c) 205 g$\quad$$\quad$ (d) 225 g
Q.3. How much zinc is contained in the brass used to make the two statues?
(a) 169 g $\quad$$\quad$(b) 179 g$\quad$$\quad$ (c) 189 g$\quad$$\quad$ (d) 199 g
Q.4. The ratio of the quantities of copper and zinc used to make the two statues is:
(a) $113: 98$ $\quad$$\quad$(b) $337: 148$ $\quad$$\quad$(c) $221: 199$ $\quad$$\quad$(d) $337: 199$
→Q.1. Find the quantity of copper present in the brass used to make the elephant statue.
(a) 98 g $\quad$$\quad$(b) 112 g$\quad$$\quad$ (c) 121 g $\quad$$\quad$(d) 132 g
Q.2. How much copper is contained in the brass used to make the horse statue?
(a) 165 g $\quad$$\quad$(b) 175 g$\quad$$\quad$ (c) 205 g$\quad$$\quad$ (d) 225 g
Q.3. How much zinc is contained in the brass used to make the two statues?
(a) 169 g $\quad$$\quad$(b) 179 g$\quad$$\quad$ (c) 189 g$\quad$$\quad$ (d) 199 g
Q.4. The ratio of the quantities of copper and zinc used to make the two statues is:
(a) $113: 98$ $\quad$$\quad$(b) $337: 148$ $\quad$$\quad$(c) $221: 199$ $\quad$$\quad$(d) $337: 199$
The birth-rate per thousand of five countries over a period of time is shown below :
Represent the above data by a bar graph.
| Country | China | India | Germany | U.K. | Sweden |
| Birth-rate per thousand | 42 | 35 | 14 | 28 | 21 |
Construct an equilateral Δ ABC such that:
AB = 5 cm. Draw the perpendicular bisectors of BC and AC. Let P be the point of intersection of these two bisectors. Measure PA, PB, and PC.
AB = 5 cm. Draw the perpendicular bisectors of BC and AC. Let P be the point of intersection of these two bisectors. Measure PA, PB, and PC.
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→A shopkeeper buys an article for ₹ 300. He increases its price by 20% and then gives 10% discount on the new price. Find:
(i) the new price (marked price) of the article.
(ii) the discount is given by the shopkeeper.
(iii) the selling price.
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(i) the new price (marked price) of the article.
(ii) the discount is given by the shopkeeper.
(iii) the selling price.
(iv) profit percent made by the shopkeeper.
Simplify and express the Solution in the positive exponent form:
$-\frac{128}{2187}$
→$-\frac{128}{2187}$