A Microwave oven is sold in Hyderabad for Rs. M. A retailer, Elahi from Hyderabad went to Madras and bought it for 25% less (when compared to the price in Hyderabad). He spends Rs. 1,000 on transport to bring it from Madras to Hyderabad. He sold it in Hyderabad for Rs. M making a profit of 10%. Find the value of M (in Rs.).

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SSC CGL 2022 Tier-I Official Paper (Held On : 12 Dec 2022 Shift 1)
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  1. 6,305.8
  2. 6,258.8
  3. 6,285.7
  4. 6,527.9

Answer (Detailed Solution Below)

Option 3 : 6,285.7
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Detailed Solution

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Given:

A Microwave oven is sold in Hyderabad for Rs. M.

A retailer, Elahi from Hyderabad went to Madras and bought it for 25% less (when compared to the price in Hyderabad).

Calculation:

Price at Madras = M × 75%

⇒ 3M/4

According to the question,

(3M/4 + 1000) × 110% = M

⇒ (3M/4 + 1000) × 110/100 = M

⇒ (3M/4 + 1000) × 110 = 100M

⇒ 82.5M + 110000 = 100M

⇒ 17.5M = 110000

⇒ M = 110000/17.5

⇒ M = 6285.71 ≈ 6285.7

∴ The value of M is 6285.7.

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