Medha deposited 20% of her money in a bank. After spending 20% of the remainder, she has Rs. 4800 left with her. Determine the money which she originally had. - Sri Chaitanya Infinity Learn Best Online Courses for NCERT Solutions, CBSE, ICSE, JEE, NEET, Olympiad and Class 6 to 12

A
Rs. 6500
B
Rs. 7500
C
Rs. 8500
D
Rs. 9500

Solution:

Given as follows,
Percentage of amount deposited by Medha in a bank = 20%
Money left with her after spending 20% = Rs. 4800
We have to determine the original amount of money that Medha had.
So, let y be the amount which Medha had originally.
Now, as stated, she has deposited 20% in the bank, which can be expressed mathematically as follows,
20% of y =

20100 y

15 y

.
So, after depositing

15 y

in bank, the amount which remains with Medha,

y − y 5 = 5 y − y 5 = 45 y

Again, she spent 20% of the remaining amount,
20% of the remaining money =

20100 × 4 y 5 = 4 y 25

.
We know, the amount remaining after this expenditure is Rs. 4800.
So, we can form an equation using this information as follows,

4 y 5 − 4 y 25 = 4800

20 y − 4 y 25 = 4800 16 y 25 = 4800 y = 4800 × 25 16 y = 300 × 25 y = 7500

So, the original amount of money that Medha had is found to be Rs. 7500.
Hence, the correct option is (2).

Solution:

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