Question

Kiran gives an equal sum of money to Divya and Kartik . she then give Divya and additional sum of 25% of what she had already given her. Divya loses away 30% of these additional sum . Kartik spend 25% of what he had received from Kiran. hit took then receive from Kiran an additional sum of 30% of the amount left over with him from Kiran .what percentage of the original amount do both Divya and Kartik are left with in the end ?​

Answer 1

Answer:

92.5%

Step-by-step explanation:

Let both Divya and Kartik got x money from Kiran initially,

So, the total original amount received by them = x + x = 2x,

Given,

After getting additional sum of 25% of what she had already given,

New amount contain by Divya = 125% of x = 1.25x,

Again after losing 30% of that amount,

Final amount contained by Divya = (100-30)% of 1.25x

= 70% of 1.25x

= 0.70 × 1.25x

= 0.875x,

Now, after spending 25%,

New amount contained by Kartik = (100-25)% of x

= 75% of x

= 0.75x

Also, after getting 30% of the remaining amount,

Final amount contained by Kartik = (100 + 30)% of 0.75x

= 130% of 0.75x

= 1.3  × 0.75x

= 0.975x

Thus, the total amount left = 0.875x + 0.975x = 1.85x

Hence, the percentage of the original amount do both Divya and Kartik are left with in the end

$=\frac{1.85x}{2x}\times 100$

$=\frac{185}{2}$

= 92.5 %

Answer 2

Answer:

Divya gets 117.5% and Kartik gets 97.5%