Question

person give 20% of total amount to his son of the reminder give 50% to his wife 30% of reminder to 3 daughter remaining amount rupees 3416 was donated to the charity trust find the total amount and share each got one​

Answer 1

Step-by-step explanation:

Let the total amout be ₹100

Son's share :

20% of 100

= $\Large{\frac{20}{100}}$ × 100

= ₹20

Remaining amount = 100-20 = ₹80

Wife's share :

50% of ₹80

= $\Large{\frac{50}{100}}$ × 80

= ₹40

Remaining amount = 80 - 40 = ₹40

Daughters share :

30% of ₹40

= $\Large{\frac{30}{100}}$ × 40

= ₹12

So, Remaining amount = 40 - 12 = ₹28

If Total amount is 100, then remaining amount is ₹28.

According to the question remaining amount is ₹3416.

so, by Direct variation :

28 × x = 3416 × 100

x = $\Large{\frac{3416 × 100}{28}}$

x = ₹12,200

$\large{\boxed{\boxed{Total\: amount\:=\:12,200}}}$

Actual share of each Person :

Son's share :

20% of ₹12,200

= $\Large{\frac{20}{100}}$ × 12,200

= $\large{\boxed{2,440}}$

Remaining amount = 12,200 - 2,440 = ₹9760

Wife's share :

50% of ₹9760

= $\Large{\frac{50}{100}}$ × 9760

=$\large{\boxed{4,880}}$

Remaining amount = 9760 - 4,880 = ₹4880

Daughters share :

30% of 4880

= $\Large{\frac{30}{100}}$ × 4880

= $\large{\boxed{1464}}$

So, Remaining amount 4,880 - 1464 = ₹3416 he donated to charity.

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Mark Brainliest, if it helps.