Calculating Consecutive Discounts on a Juicer Mixer

Let's break down how to calculate the final price Sita pays for the juicer mixer machine after receiving two successive discounts. The original price is Rs. 3,000. She first gets a 20% discount, and then an additional 5% discount on the discounted price for paying cash.

Step-by-Step Discount Calculation

When multiple discounts are applied, each subsequent discount is calculated on the price remaining after the previous discount has been taken. This is known as successive or compound discounting.

Step 1: Calculate the First Discount (20%)

The first discount is 20% on the original price of Rs. 3,000.

Discount Amount 1 $=$ 20% of Rs. 3,000

Discount Amount 1 $=$ $\frac{20}{100} \times 3000$

Discount Amount 1 $=$ $0.20 \times 3000$

Discount Amount 1 $=$ Rs. 600

Step 2: Calculate the Price After the First Discount

Subtract the first discount amount from the original price to find the price after the first discount.

Price after Discount 1 $=$ Original Price $-$ Discount Amount 1

Price after Discount 1 $=$ $3000 - 600$

Price after Discount 1 $=$ Rs. 2,400

Step 3: Calculate the Second Discount (Additional 5%)

The additional 5% cash discount is applied to the price *after* the first discount, which is Rs. 2,400.

Discount Amount 2 $=$ 5% of Rs. 2,400

Discount Amount 2 $=$ $\frac{5}{100} \times 2400$

Discount Amount 2 $=$ $0.05 \times 2400$

Discount Amount 2 $=$ Rs. 120

Step 4: Calculate the Final Price Paid

Subtract the second discount amount from the price after the first discount to find the final price Sita pays.

Final Price Paid $=$ Price after Discount 1 $-$ Discount Amount 2

Final Price Paid $=$ $2400 - 120$

Final Price Paid $=$ Rs. 2,280

Therefore, Sita pays Rs. 2,280 for the juicer mixer machine after both discounts are applied.

Revision Table: Discount Calculation Summary

Additional Information: Understanding Successive Discounts

It is important to note that successive discounts are not simply added together. For example, a 20% discount followed by a 5% discount is not the same as a single 25% discount. The second discount is always calculated on the reduced price after the first discount has been applied.

If a single discount of 25% were applied to Rs. 3000:

Single Discount Amount $=$ 25% of Rs. 3,000

Single Discount Amount $=$ $\frac{25}{100} \times 3000$

Single Discount Amount $=$ $0.25 \times 3000$

Single Discount Amount $=$ Rs. 750

Price with Single 25% Discount $=$ $3000 - 750 =$ Rs. 2,250

Comparing Rs. 2,280 (with successive discounts) and Rs. 2,250 (with a single 25% discount) shows the difference. Successive discounts result in a slightly higher final price (or less total discount) than a single discount equal to the sum of the percentages.