Mr. Manohar gave 20% of his income to his elder son and 30% to his you

1.	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 ₹ 1,80,000 for himself. What was Mr. Manohar’s income ?
Answer» Let the income of Mr. Manohar be ₹ 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 = \(\frac{50}{100}\)× 100 = 0.5 x He gave 10% of the balance income as donation to a school. Amount donated to school = 10% of 0.5x = \(\frac{10}{100}\) × 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 ∴ \(x = \cfrac{180000}{0.45} \) = \( \cfrac{180000\times100}{0.45\times 100} \) = \(\cfrac{18000000}{45} \) = 400000 ∴ The income of Mr. Manoliar is ₹4,00,000.

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 ₹ 1,80,000 for himself. What was Mr. Manohar’s income ?

Answer»

Let the income of Mr. Manohar be ₹ 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

= \(\frac{50}{100}\)× 100

= 0.5 x

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

Amount donated to school = 10% of 0.5x

= \(\frac{10}{100}\) × 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

∴ \(x = \cfrac{180000}{0.45} \) = \( \cfrac{180000\times100}{0.45\times 100} \) = \(\cfrac{18000000}{45} \) = 400000

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