A man divides ₹ 12,900 among 5 sons, 4 daughters and 2 nephews. If each daughter receives four times as much as each nephew, and each son receives five times as much as each nephew, how much does each daughter receive?

Given:

Total amount distributed = Rs. 12,900

Number of sons = 5, Number of daughters = 4, and Number of nephews = 2

Calculation:

According to the question,

5s + 4d + 2n = 12900

Now, Each daughter receives four times as much as each nephew. And Each son receives five times as much as each nephew. 

⇒ s : d : n = 5 : 4 : 1

Now, (25 + 16 + 2) = 12900

⇒ 43 = 12900

⇒ 1 = 300

Each daughter received money = 4d = 4 × 300 = 1200

∴ Each daughter received money is Rs 1200