Question

The prices of a cycle and a scooter are the ratio of 9 : 5. If a cycle costs Rs.4200 more
than a scooter, what is the price of scooter?
(a) 5050
(b) 5500
(c) 5000
(d) 5250​

Answer 1

Answer:

₹5250

Step-by-step explanation:

Let the price of the cycle be ₹9x and the price of the scooter be ₹5x.

Now,

₹(5x + 4200) = ₹9x

=> 5x - 9x = -4200

=> -4x = -4200

=> x = 4200/4

=> x = 1050

Price of the scooter = ₹5x = ₹(5 × 1050) = ₹5250

Answer 2

⇒ Given :-

• The prices of a cycle and a scooter are the ratio of 9 : 5.

⇒ To Find :-

• If a cycle costs Rs.4200 more  than a scooter, what is the price of scooter?

⇒ Solution :-

• The cost of the cycle = Rs. 9x

• The cost of the scooter = Rs. 5x

According to the question,

= 9x - 5x = 4200

• ∴ 4x = 4200 = x = $\sf{\frac{4200}{4}$ = 1050

• ∴ Cost of scooter 5 x 1050 = Rs. 5250

Option (d) is correct.

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