Discount And Interest
1. **Problem (a)**: Find the amount of discount. Given discount is Rs. 6,000.
2. **Problem (b)**: Find the selling price after giving discount.
- Original price = Discounted price + Discount
- Selling price = Rs. 54,000 (given)
3. **Problem (c)**: Find the cost price of the camera for shopkeeper given 10% discount and 8% profit.
- Let cost price be $C$
- Selling price after 10% discount on marked price $M$ is $0.9M$
- Profit of 8% means selling price $= 1.08C$
- So, $0.9M = 1.08C$
- Marked price $M = C \times \frac{1.08}{0.9} = 1.2C$
- Given selling price = Rs. 54,000
- $1.08C = 54,000 \Rightarrow C = \frac{54,000}{1.08} = 50,000$
4. **Problem 3(a)**: Write relationship between amount, principal, and interest.
- Amount $A = P + I$
5. **Problem 3(b)**: Calculate simple interest for 2 years from January 1, 2024 to December 31, 2025.
- Principal $P = 600,000$
- Rate $R = 8\%$
- Time $T = 2$ years
- Simple Interest $I = \frac{P \times R \times T}{100} = \frac{600,000 \times 8 \times 2}{100} = 96,000$
**Final Answers:**
- (a) Discount = Rs. 6,000
- (b) Selling price = Rs. 54,000
- (c) Cost price of camera = Rs. 50,000
- 3(a) $A = P + I$
- 3(b) Simple Interest = Rs. 96,000