Question

Rahul purchased a few parrots 20% flew away, 10% died and 14 remained. how many parrot did he purchase​

Answer 1

Explanation:

Answer: Remaining = 70% = 14 Parrots.

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Answer 2

Required Answer :-

• Rahul purchased 20 parrots.

Step-by-step explanation:

To Find :-

• Number of parrots Rahul purchased.

Solution:

Given that,

• Percentage of parrots flew away = 20%
• Percentage of parrots died = 10%
• Number of parrots remained = 14

Assumption: Let us assume :-

• Number of parrots flew away= 20% of x
• Number of parrots died= 10% of x
• Total number of parrots = x

Therefore,

• ( 20/100 × x ) + ( 10/100 × x ) + 14 = x

$\longmapsto \: \sf{\dfrac{20}{100} \times x + \dfrac{10}{100} \times x + 14 = x}$

Dividing 20 and 100

$\longmapsto \: \sf{\dfrac{1}{5} \times x + \dfrac{10}{100} \times x + 14 = x}$

Dividing 10 and 100

$\longmapsto \: \sf{\dfrac{1}{5} \times x + \dfrac{1}{10} \times x + 14 = x}$

$\longmapsto \: \sf{\dfrac{1}{5}x + \dfrac{1}{10}x + 14 = x}$

Adding (1/5)x and (1/10)x,

$\longmapsto \: \sf{\dfrac{1}{5}x + \dfrac{1}{10}x + 14 = x}$

$\longmapsto \: \sf{\dfrac{3}{10}x + 14 = x}$

Transposing (3/10)x to R.H.S

$\longmapsto \: \sf{14 = x - \dfrac{3}{10}x}$

$\longmapsto \: \sf{14 = \dfrac{7}{10}x}$

By Flipping the equation

$\longmapsto \: \sf{\dfrac{7}{10}x = 14}$

$\longmapsto \: \sf{x = \dfrac{10 \times 14}{7}}$

$\longmapsto \: \sf{x = \dfrac{140}{7}}$

Dividing 140 and 7

$\longmapsto \: \sf{x = 20}$

∴ Rahul purchased 20 parrots.