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₹ 11,550 has to be divided between A, B and C such that A gets 45\frac{4}{5} of what B gets and B gets 23\frac{2}{3} of what C gets. How much more does C get in comparison to A (in ₹)?

Solution

✅ Correct Option: 4

Let's denote the amounts as a,b,ca, b, c respectively.

From the relationships:

a=4b5 and b=2c3a=\dfrac{4b}{5} \text { and } b=\dfrac{2c}{3}

Therefore:

a=8c15a=\dfrac{8c}{15}

Since a+b+c=11550a+b+c=11550 :

8c15+2c3+c=11550\dfrac{8c}{15} +\dfrac{2c}{3} +c=11550

33c15=11550\dfrac{33c}{15}=11550

c=5250c=5250

Thus:

b=3500 and a=2800b=3500 \text { and } a=2800

The difference between C and A:

c−a=5250−2800=2450c-a=5250-2800=2450

Therefore, C gets ₹2450₹ 2450 more than AA.

Hence, the correct option is Option 4.

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