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Mrs. Richi Rich inherits 3224 gold coins and divides them amongst her 3 daughters Lalita, Palita and Salita in a certain ratio. Out of the total coins each of them received, Lalita sells her 50 coins, Palita donates 85 of her coins and Salita makes jewellery out of her 39 coins. Now the ratio of gold coins with them is 24 : 21 : 16 respectively. How many coins did Lalita receive from her mother ?

Correct Answer: 1250
Let the number of coins with Lalita, Palita and Salita in the end be 24x, 21x and 16x respectively.
Then,
Number of coins received by Lalita, Palita and Salita from their mother are
(24x + 50), (21x + 85) and (16x + 39) respectively
So, (24x + 50) + (21x + 85) + (16x + 39) = 3224
⇒ 61x = 3050
⇒ x = 50
Hence, number of coins received by Lalita from her mother
= (24 × 50 + 50)
= 1250

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