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Test Level 1: Profit & Loss - 1 - CAT MCQ


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10 Questions MCQ Test - Test Level 1: Profit & Loss - 1

Test Level 1: Profit & Loss - 1 for CAT 2025 is part of CAT preparation. The Test Level 1: Profit & Loss - 1 questions and answers have been prepared according to the CAT exam syllabus.The Test Level 1: Profit & Loss - 1 MCQs are made for CAT 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test Level 1: Profit & Loss - 1 below.
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Test Level 1: Profit & Loss - 1 - Question 1
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Harish bought a horse for $20,000 and sold it to Monika at a gain of 20%. Monika sold it to Sonu at a loss of 5%. Find the cost price for Sonu.

Detailed Solution for Test Level 1: Profit & Loss - 1 - Question 1

CP = $20,000
SP for Harish = CP for Monika = 1.2 × 20,000 = $24,000
SP for Monika = CP for Sonu = 0.95 × 24,000 = $22,800

Test Level 1: Profit & Loss - 1 - Question 2
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If the selling price (SP) of an article is 4/3 of its cost price (CP), the percentage profit in the transaction is

Detailed Solution for Test Level 1: Profit & Loss - 1 - Question 2

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Test Level 1: Profit & Loss - 1 - Question 3
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A man gains 10% by selling a certain article for a certain price. If he sells it at double the price, then the profit made is

Detailed Solution for Test Level 1: Profit & Loss - 1 - Question 3

Gain = 10%
Let the C.P. be x.

Test Level 1: Profit & Loss - 1 - Question 4
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Of all the articles manufactured by a company, 5% are defective. If the manufacturing cost of 100 articles is Rs. 1900, what should be the market price of the article so that the company gets 40% profit, even if it gives the articles to the distributor for 30% less price than the market price?
Detailed Solution for Test Level 1: Profit & Loss - 1 - Question 4

Cost price for 100 articles = Rs. 1900
Let the market price per article be Rs. M.
So, sales revenue = 95 × M × 0.7 ... (i)
As profit = 40%, sales revenue = Rs. 1.40 × 1900 = Rs. 2660
So, 95M × 0.7 = 2660
Or M = 40
Thus, market price = Rs. 40
Hence, answer option (1) is correct.

Test Level 1: Profit & Loss - 1 - Question 5
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By selling a cap for ₹ 29.75, a man gains 6.25%. What will be the CP of the cap?
Detailed Solution for Test Level 1: Profit & Loss - 1 - Question 5

The SP = 106.25% of the CP. Thus, CP = 29.75/1.0625
= ₹ 28.

Test Level 1: Profit & Loss - 1 - Question 6
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A machine costs ₹ 1025. If it is sold at a loss of 25%, what will be its cost price as a percentage of its selling price?
Detailed Solution for Test Level 1: Profit & Loss - 1 - Question 6

A loss of 25% means a cost price of 100 corresponding to a selling price of 75. CP as a percentage of the SP would then be 133.33%

Test Level 1: Profit & Loss - 1 - Question 7
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A tablet is sold for ₹ 6612.5 at a profit of 15%. What would have been the actual profit or loss on it, if it had been sold for ₹ 5380?
Detailed Solution for Test Level 1: Profit & Loss - 1 - Question 7

CP = 6612.5/1.15 = 5750. Selling this at 5380 would mean a loss of ₹370 on a CP of ₹ 5750.

Test Level 1: Profit & Loss - 1 - Question 8
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By selling bouquets for ₹ 69, a florist gains 15%. At what price should he sell the bouquets to gain 20%on the cost price?
Detailed Solution for Test Level 1: Profit & Loss - 1 - Question 8

CP = 69/1.15 = 60. Thus, the required SP for 20%
profit = 1.2 x 60 = 72.

Test Level 1: Profit & Loss - 1 - Question 9
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A feeding bottle is sold for ₹ 150. Sales tax accountsfor one-fifth of this and profit one-third of the remainder.Find the cost price of the feeding bottle.
Detailed Solution for Test Level 1: Profit & Loss - 1 - Question 9

Sales tax = 150/5 = 30. Thus, the SP contains ₹ 30
component of sales tax. Of the remainder (150 – 30
= 120) 1/3rd is the profit. Thus, the profit = 120/3 =
40. Cost price = 120 – 40 = 80.

Test Level 1: Profit & Loss - 1 - Question 10
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Anil, Bobby, and Chintu jointly invest in a business and agree to share the overall profit in proportion to their investments. Anil's share of investment is 70%. His share of profit decreases by ₹ 420 if the overall profit goes down from 18% to 15%. Chintu's share of profit increases by ₹ 80 if the overall profit goes up from 15% to 17%. The amount, in INR, invested by Bobby is
Detailed Solution for Test Level 1: Profit & Loss - 1 - Question 10

  1. Let the total investment = T.
    Anil invests 70% of T. So his share of any profit is 70% of the total profit.

  2. Use Anil’s change to find T:

  • At 18% profit, Anil gets 70% of (18% of T) = 0.126T.

  • At 15% profit, Anil gets 70% of (15% of T) = 0.105T.

  • Decrease = 0.126T − 0.105T = 0.021T.
    This decrease is given as 420.
    So 0.021T = 420 → T = 20,000.

  1. Use Chintu’s change to find his share:

  • When overall profit rises from 15% to 17%, the total profit increases by 2% of T.
    = 0.02 × 20,000 = 400.

  • Chintu’s share of this rise is 80.
    So his investment fraction = 80 ÷ 400 = 0.2 (that is 20%).
    Therefore, Chintu invested 20% of 20,000 = 4,000.

  1. Find Bobby’s investment:

  • Together Bobby + Chintu = 30% of T = 6,000.

  • Bobby = 6,000 − 4,000 = 2,000

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