Daily Practice Questions CAT Previous Year Questions with Answer PDF

• Let A be the cost price of object A and B be the cost price of object B.
• Gita sells two objects A and B at the same price such that she makes a profit of 20% on object A and a loss of 10% on object B.
• Therefore, 1.2 × A = 0.9 × B
• 4 A = 3 B
• B = 4/3 A
• To sell object B at a profit of 10%, the selling price of B must be 1.1 B or 11/10 B
• Object A is sold at the same price as object B, that is, 
• The profit obtained on object A in such a trade will be 46.66% or nearly 47%.

• “Minu purchases a pair of sunglasses at Rs.1000 and sells to Kanu at 20% profit.”
• This means, Minu purchased the glasses at Rs.1000 and sold them to Kanu at Rs.1200.
• Minu made a profit of Rs. 200 so far.
• “Then, Kanu sells it back to Minu at 20% loss.”
• This means, Kanu sold the glasses back to Minu at 80% of 1200 = Rs. 960
• “Finally, Minu sells the same pair of sunglasses to Tanu. … the total profit made by Minu from all her transactions is Rs.500”
• This means, Minu has to make a further profit of Rs. 300. She achieves this by selling the glasses back to Tanu at 960 + 300 = Rs.1260
• So the profit % in the transaction is 

• Let's say the merchant paid for 95×100 m .
• He pays 95 × 100 × 100 rupees and gets 95 × 105 m of cloth.
• (because, he pays Rs. 100/meter and gets 5% extra cloth)
• He sells 95 cm of the cloth at Rs. 104.5 (5% discounted on Rs. 110)
• So, the total money collected by the merchant will be  
• 
• 
• This means, the profit percentage is 15.5%

Ankita had 4 kg cashews, 14 kg peanuts and 6 kg almonds.
In all, she had 24 kgs of nuts to sell. Let us assume the average buying price of these nuts is x rupees per kg.
Average buying price means, Whatever the per kg cost of cashews, peanuts and almonds is, when you mix 4 kg cashews, 14 kg peanuts and 6 kg almonds and get 24 kgs of nuts, let's assume each kg of nuts cost x rupees per kg.
Ankita planned to make a total profit of ₹1752 by selling these 24 kgs of nuts.
That means, she planned on making a profit of 1752/24 = ₹73 on these 24 kgs of nuts.
So the marked price of these 24 kgs of nuts is ₹‘x + 73’ per kg.
She sells 4 kg of the mixture at this marked price and the remaining at a 20% discount on the marked price, thus making a total profit of ₹744.
This means,
4(x + 73) + 0.8 * 20(x + 73) = 24 x + 744
716 = 4x
x = 179
That means the buying price of 24 kgs of these nuts is 24x = 24(179) = ₹4296
In other words, the buying price of 4 kg cashews, 14 kg peanuts and 6 kg almonds is ₹4296.
We are told that “the cost of 7 kg cashews is the same as that of 30 kg peanuts or 9 kg almonds.”
7C = 30 P = 9 A
Where C, P and A are the per kg buying costs of Cashews, Peanuts and Almonds respectively.
Let 7C = 30 P = 9 A = 630k
C = 90k
P = 21k
A = 70k
We know that, the buying price of 4 kg cashews, 14 kg peanuts and 6 kg almonds is ₹4296.
4 C + 14 P + 6 A = 4296
4 (90k) + 14 (21k) + 6 (70k) = 4296
360k + 294k + 420k = 1074k = 4296
k = 4
A = 70k = 280
The buying price of Cashews is ₹280 per kg.
The total money spent on Cashews is 6C = ₹1680

• Considering the three kinds of tea are A, B, and C.
• The price of kind A = Rs 800 per kg.
• The price of kind B = Rs 500 per kg.
• The price of kind C = Rs 300 per kg.
• They were mixed in the ratio of 2 : 3: 5.
• 1/6 of the total mixture is sold for Rs 700 per kg.
• Assuming the ratio of mixture to A = 12kg, B = 18kg, C =30 kg.
• The total cost price is 800 x 12 + 500 x 18 + 300 x 30 = Rs 27600.
• Selling 1/6 which is 10kg for Rs 700/kg the revenue earned is Rs 7000.
• In order to have an overall profit of 50 percent on Rs 27600.
• The selling price of the 60 kg is Rs 27600 x 1.5 = Rs 41400.
• Hence he must sell the remaining 50 kg mixture for Rs 41400 - Rs 7000 = 34400.
• Hence the price per kg is Rs 34400/50 = Rs 688

• Let the amount invested by Anil Bobby and Chintu be x, y, and z.
• Considering x + y + z = 100 x p.
• Given Anil's share was 70 percent = 70 x p.
• As per the information provided :
• His share of profit decreases by ₹ 420 if the overall profit goes down from 18% to 15%.
• Since the profits are distributed in the ratio of their investments :
• With a 3% decrease in the profits the value of profit earned by A decreased by Rs 420 which was 70 percent of the total invested.
• Hence for all three of them would be combinedly losing 
• Hence 3 percent profit was equivalent to  Rs 600.
• The initial investment is equivalent to Rs 20000.
• This is the total amount invested.
• Chintu's profit share increased by Rs 80 when the profit percentage increased by 2 %. A 2 percent increase in profit is equivalent to Rs 20000*2/100 = Rs 400.
• Of which Rs 80 is earned by Chintu which is 20% of the total Rs 400.
• Hence he invested 20% of the total amount.
• Bobby invested the other 10 percent.
• 10 percent of Rs 20000 = Rs 2000

Profit per boarder = Total profit / Number of boarders.
Let the number of boarders be n.
Profit/boarder = 1600 - (Total cost/n)
Let the total cost be a + bn, where a = fixed, and b is the variable additional cost per boarder.
Profit/boarder = 1600 - (a + bn)/n
Profit/boarder = 1600 - a/n - b
1600 - a/50 - b = 200
1600 - a/75 - b = 250
Solving, we get a = 7500, and b = 1250
Hence, total profit with 80 people = 80 ( 1600 - 7500/80 - 1250) = 80 (350 - 7500/80)
= 28000 - 7500 = Rs. 20500

• Let the cost price and marked price of each toy be c and m respectively. 
• Overall selling price = 
• Given, 110% of 12c = 8.8m
• ⇒ c = 2m/3
• Overall CP = 12 x 2m/3 = i.e. 8m
• Required profit percentage = 
• = 50%

• Let the CP and MP of each kg of sugar be 10x and 12x respectively.
• Total cost price = 35  x 10x = 350x
• Total selling price = 35 x 10 x x1.15 = 402.5x
• Selling price already realized = 5  x 12x + 15  x 12 x  x 0.9 + 3  x  0 + 12  x 12 x  x (1 + p / 100) = 402.5 x
• 60 + 162 + 0 + 144(1 + p / 100) = 402.5
• p = 25.34% ≈25%

• From the question, let us frame the following equations
• -P x 5% + b x 15% = 7 ---(1)
  P x 5% + b x 10% = 13 --- (2)
  ________________________
  (+)
  b x (25%) = 20
• Price of Book = b = Rs. 80

• Let the cost price of one bicycle = Rs. x
• Total cost price = Rs. 10x
• He made a total profit of 25% on 6 cycles and 25% loss on 4 cycles and made a profit of Rs. 2000
• So, 2000 = 6*x/4- 4*x/4
• 2000 = 
• x = Rs. 4000

• The Shopkeeper procures the table at price 'p'
• He gains 20% on the transaction with Amal
• So, Amal buys the table at '1.2p'
• Amal sells athe table at 30% profit,
• So the Selling Price of Amal = 1.3 * 1.2p = 1.56p
• x = 1.56p
• The Shopkeeper looses 20% on the transaction with Asim
• So, Asim buys the table at '0.8p'
• Asim sells athe table at 30% loss,
• So the Selling Price of Asim = 0.7 * 0.8p = 0.56p
• y = 0.56p
• (x - y)/p = (1.56p - 0.56p)/p = 1.

• Given that if a seller gives a discount of 15% on the retail price, she still makes a profit of 2%.
• Let us assume marked price to be x. So, selling price to be 0.85x on giving 15% discount on retail price she still makes a profit of 2%.
  
• We have to find which of the following options ensures that she makes a profit of 20% so the discount should be much lower.
  
• Hence by selling at retail price she makes a profit of 20%.

• The price of medium quality mangoes is half that of good mangoes. He buys 80 kg of good mangoes and 40 kg medium quality mangoes from the market.
• Then sells all these at a common price which is 10% less than the price at which he bought the good ones.
• i.e. 40 + 80 = 120 kgs is sold at 1.8x.
• His overall profit can be found as follows,
• Cost price ⇒ 40x + 160x = 200x
• Selling price ⇒ 120 × 1.8x = 216x
• Hence there is 8% increase from cost price to selling price.
• His overall profit was 8%.

• Given that if Fatima sells 60 identical toys at a 40% discount on the printed price, then she makes 20% profit. Ten of these toys are destroyed in fire.
• If she needs to make the same amount of profit by selling the remaining toys, she needs to sell them at,
• ⇒ 60 × 0.6x = 50 × y
• ⇒ 3.6x = 5 × y
• ⇒ y = 0.72x or she sells at 72% of the printed price.
• Therefore the discount to be given = 100 – 72 = 28%

• Given that the manufacturer of a table sells it to the whole sale dealer at a profit of 10%
• 
• Then the whole sale dealer sells to a retailer at a profit of 30%
• 
• The retailer sells to a customer at a profit of 50%
• 
• If the customer pays Rs.4290 for the table then 1.1 × 1.3 × 1.5X = 4290
  
  X(Manufacturing cost) = Rs. 2000

• Given that Mayank buys some candies for Rs.15 a dozen and equal number of different candies for Rs.12 a dozen.
• Let us assume that there are n dozens,
• Cost price of the candies = 15n + 12n = 27n
• In total he buys 2n dozens of candies.
• A dozen is sold at Rs.16.50
• Selling price of candies = 2n × 16.50 = 33n
• Profit = Selling price - Cost Price
• Profit = 33n - 27n = 6n = 150
• 
• Therefore the no. of candies Mayank bought altogether is 2n = 2 × 25 = 50 dozens