Question

A basket had 250 mangoes 1/10 were rotten. Rakesh and his friends had 1/9 of the remaining mangoes. What Fraction of the total number of mangoes were left?​

Answer 1

Answer:

200 Mangoes

Step By Step Explanation:

Total Mangoes : 250

Rotten Mangoes : 1/10th = 250*1/10 = 25

Mangoes left : 250-25 = 225

*Rakesh and his friends ate 1/9th of remaining.*

225*1/9 = 25

225-25=200

Important Note :

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Answer 2

Answer: 4/5

Step-by-step explanation:

BODMAS

Remember OF! (Of means multiplication)

250 mangoes of 1/10 were rotten

250 x $\frac{1}{10}$

While multiplying fractions note that you have to multiply numerator with numerator and denominator with denominator.

Method 1

Always note that there is a 1 as denominator in every whole number.

$\frac{250}{1}$ x $\frac{1}{10}$

$\frac{250}{10}$

Now you have to think whether the numerator is divisible by the denominator or not.

Denominator is 10. So if a number should be divisible by 10, then the last digit of the particular number should be 0.

Last digit if 250 is 0. So, it's divisible by 10.

250/10 = 25

25 mangoes were rotten.

Rakesh and his friends had 1/9 of the remaining mangoes.

If 25 were rotten then remaining should be 250 - 25 = 225

$\frac{1}{9}$ x $\frac{225}{1}$

$=\frac{225}{9}$

Now you have to think whether the numerator is divisible by the denominator or not.

Denominator is 9. So if a number should be divisible by 10, then the digital index of the number should be 9. Digital index means sum of the digits. (2 + 2 + 5 = 9)

So, 225 is divisible by 9

225/9 = 25

25 mangoes were taken by Rakesh and his friends.

To find the remaining mangoes we have to add both the rotten and eaten mangoes and subtract it from the total

25+25 = 50

250-50=200

If we want to write it as a fraction then you have to write it as, 200/250

Now we have to simplify the fraction. For that we have to see the H.C.F

200 = 2 x 2 x 2 x 5 x 5

250 = 2 x 5 x 5 x 5

to find HCF you have to see how many twos and fives are common

Only one 2 and two 5s are common.

So, you have to multiply them.

2 x 5 x 5 = 50

If we divide both 200 and 250 by 5, then

200 / 50 = 4

250 / 50 = 5

4/5 is the answer

Method 2

1/9 of the remaining mangoes.

If 1/10 is already gone then, remaining would be 9/10

1/9 x 9/10

=9/90

= 1/10

1/10 + 1/10 = 2/10 = 1/5 is already rotten and eaten

So, remaining should be 5/5 - 1/5 = 4/5

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