Quant Quiz

Q1)-A milkman purchases the milk at Rs. x per litre and sells it at Rs. 2x per litre still he mixes 2 litres water with every 6 litres of pure milk. What is the profit percentage?

116 %

166.66 %

180 %

170 %

Ans.- B
Let the cost price of 1 litre pure milk be Re 1 , then
then ,
6 litres (milk ) ---> CP = Rs 6 2 litres (water ) ---> CP = Rs 0 Cp = Rs 6 only
and 8 litre mixture ---> SP --> 8 x 2 = Rs 16

Q2)-If books bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425, what is the greatest possible profit that might be made in selling eight books ?

600

1200

1800

none of these

Ans.- C
Least Cost Price = Rs. (200 * 8) = Rs. 1600.
Greatest Selling Price = Rs. (425 * 8) = Rs. 3400.
Required profit = Rs. (3400 - 1600) = Rs. 1800.

Q3)-A person incurs a loss of 5% be selling a watch for Rs. 1140. At what price should the watch be sold to earn 5% profit.

Rs.1200

Rs.1230

Rs.1260

Rs.1290

Ans.- C
Let the new S.P. be x, then.
(100 - loss%):(1st S.P.) = (100 + gain%):(2nd S.P.)
---> ( 95/1140 = 105/x) So x = 1260

Q4)-A bat is bought for Rs.400 and sold at a gain of 20% find its selling price

Rs.320

Rs 350

Rs 480

Rs 450

Ans.- C
100 % ------> 400 (100 * 4 = 400)
120 % ------> 480 (120 * 4 = 480)
Selling price = Rs.480

Q5)-If the cost price is 25% of selling price. Then what is the profit percent.

150%

200%

300%

350%

Ans.- C
Let the S.P = 100
then C.P. = 25
Profit = 75
Profit% = 75/25 * 100 = 300

Q6)-A man bought some toys at the rate of 10 for Rs. 40 and sold them at 8 for Rs. 35. Find his gain or loss percent.

Gain 9.375 %

Loss 9.375 %

Gain 7.85 %

Loss 7.85 %

Ans.- A
Cost price of 10 toys = Rs. 40 → CP of 1 toy = Rs. 4.
Selling price of 8 toys = Rs. 35 → SP of 1 toy = Rs. 35/8
Therefore, Gain = 35/8 – 4 = 3/8.
Gain percent = (3/8)/4 * 100 = 9.375%

Q7)-The cost of 11 pencils is equal to the selling price of 10 pencils. Find the loss or profit percent, whatever may be the cost of 1 pencil.

loss 10 %

gain 10 %

loss 12 %

gain 15 %

Ans.- B
The cost price of 11 pencils = S.P of 10 pencils
Let C.P of 1 pencil is $1 .
C.P of 10 pencils = $ 10
S.P of 10 pencils = C.P of 11 pencils = $ 11
Profit on 10 pencils = 11 – 10 = $1
Profit % = ( 1/ 10) x 100 = 10 %

Q8)-A dishonest merchant sells his grocery using weights 15% less than the true weights and makes a profit of 20%. Find his total gain percentage.

41 %

41.17 %

42 %

42.14 %

Ans.- B
Let us consider 1 kg of grocery bag. Its actual weight is 85% of 1000 gm = 850 gm.
Let the cost price of each gram be Re. 1. Then the CP of each bag = Rs. 850.
SP of 1 kg of bag = 120% of the true CP
Therefore, SP = 120/100 * 1000 = Rs. 1200
Gain = 1200 – 850 = 350
Hence Gain % = 350/850 * 100 = 41.17%

Q9)-In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?

30 %

70 %

100 %

250 %

Ans.- B
Let C.P.= Rs. 100. Then, Profit = Rs. 320, S.P. = Rs. 420.
New C.P. = 125% of Rs. 100 = Rs. 125
New S.P. = Rs. 420.
Profit = Rs. (420 - 125) = Rs. 295.
Required percentage = ( 295/420 x 100 ) % = 1475/21 % = 70 % (approx. )

Q10)-A shopkeeper allows a discount of 10% on the marked price and still gains 17% on the whole. Find at what percent above the cost price did he mark his goods.

20 %

30 %

35 %

40 %

Ans.- B
Let the cost price be 100. Then SP = 117.
Let the marked price be x.
So, 90% of x = 117 → x = 130.
Therefore, he marked his goods 30% above the cost price.