A sum of ₹980 was divided among A, B, and C such that A received $\frac{3}{7}$ of B’s share and C received 75% of A’s share. Find C’s share.
A sum of ₹980 was divided among A, B, and C such that A received $\frac{3}{7}$ of B’s share and C received 75% of A’s share. Find C’s share.
₹980 की एक धनराशि को A, B और C में इस प्रकार विभाजित किया गया कि A को B के हिस्से का \(\frac{3}{7}\) और C को A के हिस्से का 75% मिला।C का हिस्सा ज्ञात करें।
Detailed Solution & Logic
Correct Answer:
₹180
Let B’s share be $7x$.
Then A’s share
$= \frac{3}{7} \times 7x$
$= 3x$
C’s share is 75% of A’s share.
So, C’s share
$= \frac{75}{100} \times 3x$
$= \frac{9x}{4}$
Now,
Total sum
$= 7x + 3x + \frac{9x}{4}$
$= \frac{28x + 12x + 9x}{4}$
$= \frac{49x}{4}$
Given,
$\frac{49x}{4} = 980$
$49x = 3920$
$x = 80$
Therefore, C’s share
$= \frac{9 \times 80}{4}$= 180
C’s share = ₹180
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