Synopsis IAS

Answer

Solution

UPSC Prelims

Mathematics

Theme:

Ratio, Proportion, Partnership and Mixture / अनुपात, समानुपात, साझेदारी और मिश्रण

Q57 2020, Ratio, Proportion, Partnership and Mixture

A sum of ₹2,500 is distributed among X, Y and Z in the ratio1/2 : 3/4 : 5/6. What is the difference between the maximum share and the minimum share?

Simplify the fraction ration (1/2 : 3/4 : 5/6 ) to numerator ratio. Multiplying by 12 :

(1/2 : 3/4 : 5/6 ) = (12*1/2 : 12*3/4 : 12*5 /6 ) = 6: 9 : 10

Now, according to the question,

6n + 9n + 10n = Rs.2500

Or 25n = 2500

Or n = Rs. 100 Now, the difference between maximum share and minimum share = 10n – 6n = 4n = 4 × 100 = Rs. 400

Q 57. 2020, Ratio, Proportion, Partnership and Mixture