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Medha deposited 20% of her money in a bank. After spending 20% of the remainder, she has ₹4800 left with her. How much did she originally have

Solution:

Given, Medha deposited 20% of her money in a bank.

She spend 20% of the remaining money

She has ₹4800 left with her.

We have to find the original amount.

Let the original amount be x

Money deposited in bank = 20% of x

= 20x/100

= x/5

Remaining money = x - x/5

= x(1 - 1/5)

= x (5 - 1)/5

= 4x/5

Amount of money spent = 20% of 4x/5

= (20/100) × 4x/5

= (1/5) × 4x/5

= 4x/25

Remaining money = 4x/5 - 4x/25

= 4x(1/5 - 1/25)

= 4x(5 - 1)/25

= 16x/25

According to the question,

16x/25 = 4800

x = 4800 × (25/16)

= 300 × 25

= 7500

Therefore, the original amount is ?7500.

✦ Try This: Meghna deposited 30% of her money in a bank. After spending 10% of the remainder, she has ₹7800 left with her. How much did she originally have?

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 8

NCERT Exemplar Class 7 Maths Chapter 7 Problem 105

Medha deposited 20% of her money in a bank. After spending 20% of the remainder, she has ₹4800 left with her. How much did she originally have

Summary:

Medha deposited 20% of her money in a bank. After spending 20% of the remainder, she has ₹4800 left with her. The original amount of money she had is ₹7500.

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