Question

The price of a sweater is increased by 8%. If it's present price is ₹1566, find the original price​

Answer 1

Answer:

The original price was 1450.

Step-by-step explanation:

Let the price of the sweater be 'p'.

(100% + 8%) × p = 108% × p = 1566

⇒ (108/100) × p = 1566

⇒ p = (1566 × 100) ÷ 108

⇒ p = 1450.

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Answer 2

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LET THE ORIGINAL PRICE BE "x"

RATE OF INCREASE OF PRICE : 8%

FINAL PRICE : ₹1566

SO,

(8% of x) + x = 1566

108% of x = 1566

$\frac{108}{100} \times x = 1566$

$x = 1566 \times \frac{100}{108}$

$x = 14.5 \times 100$

$x = 1450$