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Mr. Manohar gave 20% of his income to his elder son and 30% to his younger son. He gave 10% of the balance income as donation to a school. He still had Rs 1,80,000 for himself. What was Mr. Manohar’s income?

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Best answer

Let the income of Mr. Manohar be Rs x. 

Amount given to elder son = 20% of x

Amount given to younger son = 30% of x 

Total amount given to both sons = (20 + 30)% of x = 50% of x 

∴ Amount remaining with Mr. Manohar = (100 – 50)% of x 

= 50% of x

= (50/100) x 100

= 0.5x

He gave 10% of the balance income as donation to a school. 

Amount donated to school = 10% of 0.5x 

= (10/100) × 0.5x 

= 0.05x 

∴ Amount remaining with Mr. Manohar after donating to school

= 0.5x – 0.05x = 0.45x 

Mr. Manohar still had 1,80,000 for himself after donating to school. 

∴ 180000 = 0.45x

∴ 

= 400000

∴ The income of Mr. Manoliar is Rs 4,00,000.

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