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Concept: 1 Mark
Application: 1 Mark
Steps: 1 Mark
Solution: 1 Mark
Let x and y be the weight of Meenakshi and Ankur has respectively.
The ratio of the weights of Meenakshi to Ankur = 13:15
After exercising, ratio of the weights of Meenakshi to Ankur = x :( y-5) = 13:14
Comparing both$\frac{x}{y}$ =$\frac{13}{15}$and$\frac{x}{y-5}$ =$\frac{13}{14}$ we get,
$\Rightarrow 13y=15x..............\left(i\right)$ and
$14x=13(y-5)$
$\Rightarrow 14x=13y-\mathrm{65............}\left(ii\right)$
Substituting the value of (i) in (ii) we get,
$\Rightarrow 14x=15x-65$.
$x=65$
Substitute the value of x in (i)
$\Rightarrow 13y=15\times 65$
$y=15\times 5=75$
But Ankur lost 5 kg
$\therefore$ Ankur'spresent weight is $(y-5)=(75-5)=70kg$

:
Ravi' Share: 1 Mark
Rani's Share: 1 Mark
Steps: 2 Marks
Let the share of Ravi and Rani be x and yrespectively.
Total Profit = Rs. 40,000
Ratio of investment of Ravi to Rani = 2:3
Total parts of profit = 2+3 =5
$x=\frac{2}{5}\times 40000$ = Rs. 16000
$y=\frac{3}{5}\times 40000$ = Rs. 24000
Share of Ravi in Profit is Rs. 16,000
Share of Rani in Profit is Rs. 24,000

Answer: Option B. -> 987
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B
To decrease a quantity in thegiven ratioa : b, we multiply the given
$\text{quantity by}\frac{b}{a}$,
where b < a.
Hence, new quantity
= $1551\times \frac{7}{11}$
= $141\times 7$
= $987$

Answer: Option B. -> False
:
B
Partnership is directly proportional to the amount invested. As amount invested increases patnership(profit) increases. Hence they are directly proportional.

Answer: Option A. -> unit
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A
Twoor more quantities can be compared only when they have same unit. If they are not, they must be converted into the same units.
Example: Weight in gram cannot be compared to length in metre and weight in grams and kilograms can be compared only when kilograms is converted into grams or grams into kilograms so that both will be in same unit.

Answer: Option B. -> The ratio of length of snake to crocodile is 1 : 20
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B
Ratio is a method of comparing two quantities having the same unit,
2 m = 200 cm
Hence, the ratio of the length of the snake to crocodile would be
$\frac{10}{200}=\frac{1}{20}=1:20$

Answer: Option C. -> 12 : 8
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C
A ratio obtained by multiplying or dividing the numerator and thedenominator of a given ratio by the same number is called an equivalent ratio.
Hence, when the numerator and the denominator of the given ratio 3 : 2 are multiplied by 4, we get
$\frac{3\times 4}{2\times 4}$ = $\frac{12}{8}=12:8$
$\therefore$ 3: 2 and 12 : 8 are equivalent ratios.

Answer: Option C. -> Five times
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C
The cost of 12 bananas = ₹ 24,
So, the cost of one banana =
$\frac{₹24}{12}=₹2$
The cost of 10 apples = ₹ 100,
So, the cost of one apple =
$\frac{₹100}{10}=₹10$
Therefore, the ratio of the cost of anapple to that of abanana = ₹ 10 : ₹ 2 = 5 : 1.
So, anapple is five times costlier than abanana.

Answer: Option B. -> 2000:1
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B
The ratio is the method of comparison between two similar quantities having thesame unit.
Length = 2 m = 2000 mm and diameter = 1 mm
Hence ratio of the length of rope to its diameter is
$\frac{2000}{1}=2000:1$

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If two ratios are equal or equivalent then we say that they arein proportion.