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
Similar Practice Questions
The ratio of three numbers is 3 : 5 : 7.
The ratio of three numbers is 3 : 5 : 7. If the sum of...
The speeds of a bus and a car are in the ratio 7 : 11. If the car covers 396 km in 6 hours, then find the speed of the bus in km/h.
The speeds of a bus and a car are in the ratio 7 : 11....
Two numbers are in the ratio of 4 : 9.
Two numbers are in the ratio of 4 : 9. If the mean proportional between...
The monthly incomes of two friends Mohan and David, are in the ratio 5 : 8, respectively, and each of them saves ₹75,000 every month.
The monthly incomes of two friends Mohan and David, are in the ratio 5 :...
A milkman sells milk mixed with water at ₹9 per liter and makes a 20% profit. If the cost price of pure milk is ₹10 per liter, what is the ratio of milk to water in the mixture?
A milkman sells milk mixed with water at ₹9 per liter and makes a 20%...
If abcde: f = 5 : 7, then what is the ratio (3a + 5c + 11e) / ((3b + 5d + 11f)’)
If a : b = c : d = e: f = 5 : 7,...
If regular polygons of side 6 and 5 are inscribed in a circle of radius R, then what is the ratio of their areas?
If regular polygons of side 6 and 5 are inscribed in a circle of radius...