Fractions in DisguiseClass 8 Mathematics Case Study Questions

The students of Class 8 organized a fete to raise funds for a local charity. They set up three stalls: Games, Food, and Crafts. The total revenue collected from the fete was ₹24,000. The pie chart of the revenue shows that the Food stall contributed to $50\%$ of the total revenue. The Games stall contributed $\frac{3}{8}$ of the total revenue, and the remaining revenue came from the Crafts stall. The total cost of setting up all the stalls was ₹9,000. The profit from the fete is the total revenue minus the total cost. The entire profit was donated to the charity.

Kishanlal runs a garment shop. He buys sweaters from a wholesaler at a cost price (CP) of ₹300 per piece. He marks up the price of each sweater before putting it on display. The marked price (MP) he sets is $60\%$ above the cost price. To attract customers during the winter season, he offers a discount on the marked price. A customer, after some bargaining, buys a sweater for a final selling price (SP) of ₹432. We need to analyze the profit and discount involved in this transaction.

Giridhar and Raghava both need to take a loan. Giridhar borrows a loan of ₹12,500 at an interest rate of $12\%$ per annum for 3 years, with the interest calculated without compounding (simple interest). Raghava borrows the same amount, ₹12,500, for the same time period of 3 years, but his loan is at an interest rate of $10\%$ per annum, compounded annually. We want to compare who pays more interest overall and by how much. The formula for the final amount (A) without compounding is $A = P(1 + rt)$ and with compounding is $A = P(1+r)^t$, where P is principal, r is the annual rate, and t is time in years.