Subjects algebra

Discount And Interest

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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