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Chillu decided to sell an article in January. Chillu gives a discount of 20% on an article in every 3 months. If Pillu buys it for Rs. 5120 in December, what was the cost of that article in March?

Chillu decided to sell an article in January. Chillu gives a discount of 20% on an article in every 3 months. If Pillu buys it for Rs. 5120 in December, what was the cost of that article in March? Correct Answer Rs. 10000

Given:

Chillu gives a discount of 20% on an article in every 3 months.

Pillu buys it for Rs. 5120 in December.

Formula used:

Selling price = Initial price × time

Calculation:

Let the cost of the article in January was Rs. X

Chillu gives a discount of 20% on an article in every 3 months.

Then, In March the cost of the article = x × (80/100) = 4x/5

Again discount of 20% on an article

Then In June the cost of the article = (4x/5) × (80/100) = 16x/25

Again discount of 20% on an article

Then In the month of September the cost of the article = (16x/25) × (80/100) = 64x/125

Again discount of 20% on an article

Then In the month of December the cost of the article = (64x/125) × (80/100) = 256x/625

But Pillu buys it for Rs. 5120 in the month of December

Then,

⇒ 256x/625 = 5120

⇒ x = (5120 × 625)/256 = Rs. 12500

In the month of March the cost of the article = 4x/5 = (4/5) × 12500 = Rs. 10000

∴ the cost of that article in March is Rs. 10000.

Alternate method:

After March Chillu gives total 3 times discount of 20%

By formula

Selling price = initial price × time

Price in March = Selling price/ time

⇒ 5120 × (100/80)3

⇒ 5120 × (5/4)3

⇒ 5120 × 125/64 = Rs. 10000

∴ the cost of that article in June is Rs. 10000.

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