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in Commercial Mathematics by (49.3k points)
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Medha deposited 20% of her money in a bank. After spending 20% of the remainder, she has Rs 4800 left with her. How much did she originally have?

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Best answer

Let medha has originally ₹x.

Money deposited in bank = 20% of x = 20/100 x X = ₹ 1/5 x

Remaining money = x - 1/5x = ₹4/5 x

Money spent = 20% of remaining money = 20/100 x 4/5 x 

= 1/5 x 4/5x

= ₹4/25 x

Now, money left = 4/5x - 4/25 x = ₹16/25 x

But given that, money = ₹4800

According to the question,

16/25 x = 4800

x = (4800 x 25)/16

x = ₹ 7500

Hence, Medha had ₹7500 in original.

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