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A man loses 12 $\frac{1}{2} %$ of his money and after spending 70% of the remainder, he was left with Rs. 210. The money that he had at the beginning is

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Rs. 810

Rs. 800

Rs. 790

Rs. 780

answer is B.

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Detailed Solution

Give that the man left with Rs 210,
A man loses 12

\frac{1}{2} = 12.5 %

of his money.
Let the money the man had = Rs 100
Then the money lost = Rs 12.5
Therefore, remaining money = 100-12.5 = Rs.87.5
The 70% of the remaining,
⇒Rs 87.5×

\frac{70}{100}

⇒Rs 61.25
Remaining money = 87.5-61.25 = Rs.26.25
As given, he is left with Rs.210
Total amount =

\frac{210}{26.25} \times 100

\Rightarrow Rs . 800

Hence, the man initially had Rs. 800.
Therefore, the correct option is 2.

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