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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. 780

Rs. 800

Rs. 810

Rs. 790

answer is B.

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Detailed Solution

Given,
% of money lost =

12 \frac{1}{2}

\Rightarrow

Loss %

= 12.5 %

% of money spent later = 70%
Amount he was left with = Rs.210.
Let Rs.

x

be the amount at the beginning.
Remaining money after loss,
Remaining money =

\frac{100 - 12.5}{100}

\Rightarrow

Remaining money

= \frac{87.5 x}{100}

Money left after spending 70% of remaining money =

30 % of \frac{8.75 x}{100}

⇒

210 = \frac{30}{100} \times \frac{87.5 x}{100}

⇒

21000 = 30 \times 87.5 x

\Rightarrow x = \frac{21000}{30 \times 87.5}

\Rightarrow x = Rs . 800

Thus, the money he had in the beginning is Rs.800.
Therefore, the correct option is 2.

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