Nakul went to the market to buy groceries. He has some money with him, 20% of which he used to buy wheat flour, 25% of the remaining money is spent on cooking oils. If he is left with Rs. 900, then find out total amount of money that Nakul had.

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SSC CHSL Tier-I Exam 2022 Official Paper (Held On: 15 March, 2023 Shift 1)
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  1. Rs. 1,200
  2. Rs. 1,500
  3. Rs. 1,350
  4. Rs. 1,800

Answer (Detailed Solution Below)

Option 2 : Rs. 1,500
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Detailed Solution

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Given:

Amount of money left with Nakul after buying groceries = Rs. 900

Calculation:

Let the total amount of money that Nakul had be "M".

First, Nakul used 20% of his money to buy wheat flour. This means he spent (20/100)M on wheat flour, leaving him with (80/100)M.

Next, Nakul spent 25% of the remaining money on cooking oils. Therefore, the amount of money left after this expenditure is (75/100) × (80/100)M.

According to the given information, Nakul is left with Rs. 900, so we can set up the equation:

(75/100) × (80/100)M = 900

To find the total amount of money (M), divide both sides of the equation by [(75/100) × (80/100)]:

M = 900/[(75/100) × (80/100)]

Simplifying the equation:

M = 900/(75/100) × (100/80)

M = 900/(3/4) × (4/5)

M = 900 × (4/3) × (5/4)

M = 1500

Therefore, the total amount of money that Nakul had is Rs. 1500.

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