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3. Find the selling price if:

(a) Marked price = Rs 50,000 and Discount = one-fifth of the marked price.
(b) Marked price = Rs 80,000 and Discount = one-eighth of the marked price.

4. Find the marked price if:

(a) Selling price = Rs 4,999.50 and Discount percentage = 10%.
(b) Selling price = Rs 7,110.40 and Discount percentage = 20%.

Sagot :

GinnyAnsweridn
### Problem 3: Finding the Selling Price

(a) Marked price = Rs 50000 and Discount = one-fifth of the marked price.

1. Calculate the discount:
[tex]\[ \text{Discount} = \frac{1}{5} \times \text{Marked Price} = \frac{1}{5} \times 50000 = 10000 \][/tex]

2. Subtract the discount from the marked price to find the selling price:
[tex]\[ \text{Selling Price} = \text{Marked Price} - \text{Discount} = 50000 - 10000 = 40000 \][/tex]

So, the selling price is Rs 40000.

(b) Marked price = Rs 80000 and Discount = one-eighth of the marked price.

1. Calculate the discount:
[tex]\[ \text{Discount} = \frac{1}{8} \times \text{Marked Price} = \frac{1}{8} \times 80000 = 10000 \][/tex]

2. Subtract the discount from the marked price to find the selling price:
[tex]\[ \text{Selling Price} = \text{Marked Price} - \text{Discount} = 80000 - 10000 = 70000 \][/tex]

So, the selling price is Rs 70000.

### Problem 4: Finding the Marked Price

(a) Selling price = Rs 4999.50 and Discount percentage = 10%.

1. Convert the discount percentage to a decimal:
[tex]\[ \text{Discount Percentage} = \frac{10}{100} = 0.10 \][/tex]

2. Since the selling price is 90% of the marked price (because 100% - 10% discount = 90%), we can express it as:
[tex]\[ \text{Selling Price} = \text{Marked Price} \times (1 - \text{Discount Percentage}) \][/tex]

Therefore:
[tex]\[ 4999.50 = \text{Marked Price} \times 0.90 \][/tex]

3. Rearrange to solve for the marked price:
[tex]\[ \text{Marked Price} = \frac{4999.50}{0.90} = 5555 \][/tex]

So, the marked price is Rs 5555.

(b) Selling price = Rs 7110.40 and Discount percentage = 20%.

1. Convert the discount percentage to a decimal:
[tex]\[ \text{Discount Percentage} = \frac{20}{100} = 0.20 \][/tex]

2. Since the selling price is 80% of the marked price (because 100% - 20% discount = 80%), we can express it as:
[tex]\[ \text{Selling Price} = \text{Marked Price} \times (1 - \text{Discount Percentage}) \][/tex]

Therefore:
[tex]\[ 7110.40 = \text{Marked Price} \times 0.80 \][/tex]

3. Rearrange to solve for the marked price:
[tex]\[ \text{Marked Price} = \frac{7110.40}{0.80} = 8888 \][/tex]

So, the marked price is Rs 8888.
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