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Estimation Using Percentages in Situations

Verma gets ...

Question

Verma gets $10 %$ more than Akbar, then Akbar gets :

A

10 %

less than Verma

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B

9 %

less than Verma

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C

9 \frac{1}{11} %

less than Verma

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D

10 %

more than Verma

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Solution

The correct option is D $9 \frac{1}{11} %$ less than Verma

Let Akbar get $10$ units.
Varma gets $10$ units + $10 \times \frac{10}{100}$ $=$ $11$ units
Akbar thus got $1$ unit less.
Akbar's percentage loss as compared to varma = $\frac{11 - 10}{11}$ $\times 100$
= $\frac{1}{11}$ $\times 100$
= $9 \frac{1}{11}$ % less than Verma

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