Question

a vegetable vendor has three vegetables, cucumbers, carrots, and tomatoes. The number of cucumbers and carrots are 80 % and 32 %, respectively, of the number of tomatoes. What percentage of the number of carrots is the number of cucumbers?

1. 400%

2. 60%

3. 40%

4. 250%​

Answer 1

Answer:

Option (4)

Step-by-step explanation:

Given :-

A vegetable vendor has three vegetables, cucumbers, carrots, and tomatoes. The number of cucumbers and carrots are

80% and 32%, respectively of the number of tomatoes.

To find :-

What percentage of the number of carrots is the number of cucumbers?

Solution :-

Let the number of Tomatoes be X

Number of cucumbers

= 80% of the number of tomatoes

=> 80% of X

=> 80% × X

=> (80/100)×X

=> (4/5)×X

=> 4X/5

Number of cucumbers = 4X/5

Number of carrots

=> 32% of the number of tomatoes

=> 32% of X

=> 32% ×X

=> (32/100)×X

=> (8/25)×X

=> 8X/25

Number of carrots = 8X/25

Now

Let the y% of the number of carrots is the number of cucumbers

=> y% of (8X/25) = 4X/5

=> y% × (8X/25) = 4X/5

=> (y/100)×(8X/25) = 4X/5

=> (y×8X)/(100×25) = 4X/5

=> 8Xy/2500 = 4X/5

=> 2Xy/625 = 4X/5

=> 2Xy = (4X/5)×625

=> 2Xy = 4X×125

=> 2Xy = 500X

=> y = 500X/2X

=> y = 250%

Therefore ,The required percentage

= 250%

Short cut :-

Number of cucumbers = 80%

Number of carrots = 32%

Required % = (80/32)×100

=>(5/2)×100

=> 5×50

=> 250%

Answer :-

250% of the number of carrots is the number of cucumbers

Answer 2

Given:-

• $\sf \: Numbe r \: of \: cucumbers = 80\%$
• $\sf \: Number of carrots = 32\%$

To Find:-

• $\sf \: What \: percentage \: of \: \\ \sf \: the \: numbe r \: of \: carrots \: is \: the \: \\ \sf number \: of \: cucumbers?$

Let's Start:-

$\bf \red{Required\% = \blue{\frac{80}{32 } \times 100 }}$

$\bf \green{Required\% }= \pink {\frac{5}{2} \times 100}$

$\bf \: \blue{Required \: \% }\red{ = 5\times 50}$

$\bf\pink{Required\% =} \green {250}$

Hence,

• $\boxed { \sf \: { Option \: (4) \: is \: correct.}}$