Question

Athena gives 15%, 13% and 32% of money from the amount she had to her younger siblings. They spent 20%, 25% and 15% from the amount received and returned the rest to her. If total money after spending is Rs 9790 from total given to siblings. Find the money left with athena
1. Rs 18,450
2. Rs 17,790
3. Rs 23,450
4. Rs 16,890
5. Rs 24,590

Answer 1

Correct Answer - Option 2 : Rs 17,790

Given:

Money distributed = 15%, 13%, 32%

Money spent = 20%, 25%, 15%

Calculation:

Let total money of Athena = 100k

Let money distributed to siblings be 15k, 13k and 32k

⇒ Total money to siblings = 15k + 13k + 32k

⇒ Total money to siblings = 60 k

⇒ Money spent by siblings = ((15 × 0.20) + (13 × 0.25) + (32 × 0.15)) k

⇒ Money spent by siblings = 11.05k

⇒ Remaining amount = 60k – 11.05k

⇒ Remaining amount = 48.95 k

⇒ 48.95k = 9790

⇒ k = 200

⇒ Total money left with Athena = 100k – 11.05k

⇒ Total money left with Athena = 88.95 × 200

∴ Total money left with Athena is Rs 17,790