Kiran gives an equal sum of money to Divya and Kartik. She then gives Divya and additional sum of 25% of what she had already given her. Divya loses away 30% of this additional sum. Karthik spends 25% of what he had received from Kiran. He too then receives from Kiran and additional sum of 30% of the amount left over with him from Kiran. what percentage of the original amount do both Divya and Karthik are left with in the end?
Answers
dunno the ans but why my name is their "Kiran" (jk don't report)
Answer:
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=
2x
1.85x
×100
=\frac{185}{2}=
2
185
= 92.5 %