हिंदी

For an amount, explain why, a 20% increase followed by a 20% decrease is less than the original amount.

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प्रश्न

For an amount, explain why, a 20% increase followed by a 20% decrease is less than the original amount.

योग
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उत्तर

Let us assume the amount be Rs. 100

⇒ x% increase in amount = Amount + `x/100` × Amount

⇒ 20% increase in Rs. 100 = `100 + 20/100 xx 100`

= 100 + 20

= Rs. 120

⇒ x% decrease in amount = Amount – `x/100`  × Amount

Now, 20% decrease in Rs. 120 = `120 - 20/100 xx 120`

= 120 – 24

= Rs. 96

Hence, decreased price is less than original amount.

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अध्याय 9: Comparing Quantities - Exercise [पृष्ठ ३०१]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 8
अध्याय 9 Comparing Quantities
Exercise | Q 112. | पृष्ठ ३०१
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