Question

hisWer choices given.
Maruti Swift is priced 20% more than 120 and 25% lesser than Nissan Micra. What percentage of 120's price is the price of
Micra?
1
Cocon​

Answer 1

Given:

Maruti Swift is priced 20% more than 120 and 25% lesser than Nissan Micra.

To find:

What percentage of 120's price is the price of  Micra?

Solution:

Let's assume the price of Maruti Swift be "Rs. 100" (for easy calculation)

It is given that → Maruti Swift is priced 20% more than 120,

i.e., [Price of Maruti Swift] = [Price of 120] + [20% of Price of 120]

⇒ 100 = [Price of 120] × [1 + 0.20]

⇒ 100 = [Price of 120] × 1.2

⇒ [Price of 120] = $\frac{100}{1.2}$

⇒ Price of 120 = Rs. 83.33

Also given that → Maruti Swift is priced 25% lesser than Nissan Micra

i.e., i.e., [Price of Maruti Swift] = [Price of Nissan Micra] - [25% of Price of Nissan Micra]

⇒ 100 = [Price of Nissan Micra] × [1 - 0.25]

⇒ 100 = [Price of Nissan Micra] × 0.75

⇒ [Price of Nissan Micra] = $\frac{100}{0.75}$

⇒ Price of Nissan Micra = Rs. 133.33

Let's assume "x%" of 120's price is the price of Micra.

Therefore, we can form the equation as:

$x\% \:of\: 83.33 = 133.33$

$\implies \frac{x}{100} \times 83.33 = 133.33$

$\implies x = \frac{133.33}{83.33} \times 100$

$\implies \bold{x = 160\%}$

Thus, 160% of the 120's price is the price of Nissa Micra.

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