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 Out of his total income, Sam spends 35% on taxes and rent, from the remaining 40% on food and shopping. Half of the remaining he spends on his children's school fee and saves remaining which is equal to Rs.17550. Find how much amount he spent on food and shopping ? 

 Out of his total income, Sam spends 35% on taxes and rent, from the remaining 40% on food and shopping. Half of the remaining he spends on his children's school fee and saves remaining which is equal to Rs.17550. Find how much amount he spent on food and shopping ?  Correct Answer 23400

Given:

Sam spends 35% on taxes and rent,

40%  of remaining on food and shopping.

Half of the remaining he spends on his children's school fee

He saves = Rs.17550.

Concept used:

Percentage

Calculation:

Let the total income be 100x

Amount spent on taxes and rent

⇒ 35% of 100x = 35x

Amount spent on food and shopping 

⇒ 40% of (100x - 35x) 

⇒ 40% of 65x = 26x

Amount spent on school's fee 

⇒ (65x - 26x) / 2 = 19.5x

As per the question,

⇒ 19.5x = 17550

⇒ x = 900

Amount spent on food and shopping = 26x

⇒ 26 × 900 = Rs.23400

∴ Amount spend on food and shopping = Rs. 23400

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