To solve this problem, follow these steps:
1. Understand the given information:
- You received a cash amount of Rs. 19,000 from debtors.
- This cash amount was received after a discount of 5% was deducted.
2. Determine the value before the discount:
- Let's represent the equivalent amount before the discount as [tex]\( E \)[/tex].
- Since a 5% discount was applied, the debtor paid 95% of the total debt amount.
Therefore:
[tex]\( E \times 0.95 = 19000 \)[/tex]
3. Solve for [tex]\( E \)[/tex] (the equivalent amount before the discount):
- Rearrange the equation to solve for [tex]\( E \)[/tex]:
[tex]\( E = \frac{19000}{0.95} \)[/tex]
4. Calculate [tex]\( E \)[/tex]:
- By dividing Rs. 19,000 by 0.95, we get:
[tex]\( E = 20000 \)[/tex]
So, the equivalent amount before the discount was Rs. 20,000.
5. Determine the discount amount:
- The discount given is 5% (or 0.05) of the equivalent amount before the discount.
- Calculate the discount:
[tex]\( \text{Discount} = E \times 0.05 \)[/tex]
[tex]\( \text{Discount} = 20000 \times 0.05 \)[/tex]
6. Calculate the discount value:
- By multiplying Rs. 20,000 by 0.05, we get:
[tex]\( \text{Discount} = 1000 \)[/tex]
This means the discount amount was Rs. 1,000.
In summary:
- The equivalent amount before the discount was Rs. 20,000.
- The discount amount was Rs. 1,000.
