Question : Directions: A certain sum of money was distributed among Darshana, Swati, and Nivriti. Nivriti has INR 539 with her. If the ratio of the money distributed among Darshana, Swati, and Nivriti is 5 : 6 : 7, what is the total sum of money that was distributed?
Option 1: INR 1,341
Option 2: INR 1,422
Option 3: INR 1,386
Option 4: INR 1,356
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Correct Answer: INR 1,386
Solution :
Given:
The ratio of the money distributed among Darshana, Swati, and Nivriti is 5 : 6 : 7
Darshna: Swati: Nivriti → 5x : 6x : 7x
But Nivriti has Rs. 539 with her.
Then, 7x→539
x = 539 ÷ 7
x = 77
The total sum of money = 5x + 6x + 7x = 18x
The total sum of money was distributed = 18 × 77 = 1386
So, the total sum of money distributed is INR 1,386. Hence, the third option is correct.
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