Question

24. There are two friends Swati and Sapna live
in a village. Their common friend Monika
fell ill. She was admitted in a hospital
Swati and Sapna decided to help Monika
Swati contributed as much money as the
fifth root of the cube of amount contributed
by Sapna
If the product of amount distributed by
two friends is 390625, then find the
contribution of each friend.​

Answer 1

Answer:

I dont undersand

Step-by-step explanation:

Answer 2

$\large\star \mathtt \red{ \underline{Correct \: Question}}$

There are two friends Swati and Sapna who live in a village. Their common friend Monika fell ill. She was admitted in a hospital. Swati and Sapna decided to help Monika. Swati contributed as much money as the fifth root of the cube of amount contributed by Sapna. If the product of amount distributed by two friends is ₹ 390625, then find the contribution of each friend.

$\large\star \mathtt \green{ \underline{Answer}}$

↪Let the amount contributed by Sapna be ₹ 'x'

↪Then, Let the amount contributed by Swati be (x)⅗•½

$\star \mathtt \blue{ \underline{According \: to \: Question}}$

↦(x)(x)⅗ = 390625

↦(x) ¹+⅗.

↦(X)⁸/⁵ =390625

↦Now, By prime factorisation (in attachment)

↦(x)⁸/⁵ = 5×5×5×5×5×5×5×5

↦(x)⁸/⁵ =5⁸

↦(x)⁸/⁵ = (5⁵)⁸/⁵

↦x = 5⁵

↦x = 3125

↦(x)⅗= (5⁵)⅗

↦x = 125

⭕Sapna's contribution :- ₹3125

⭕Swati's contribution :- ₹125