# Quantitative Aptitude Quiz for UPSI : 03 May 2021

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Q 1 - An article when sold for Re 4600 makes a 15% profit. Find the profit or loss % if it was sold for Re 3600.
A - 10% gain
B - 11% loss
C - 10% loss
D - 11% gain
Q 2 - A seller sells a watch at 5% loss. If he had bought it at 20% more and sold it for Re 115 less, he would have incurred a loss of 40%. Find the cost price of the watch.
A - Re 500
B - Re 5000
C - Re 550
D - Re 450
Q 3- When a man sold an article for Re 540, he made a loss of 10%. At what price should he sell it, so that he incurs a loss of only 5%.
A - Re 550
B - Re 525
C - Re 575
D - Re 570
Q 4 - Ram sells chocolates at a profit of 20% for Re 60. Source: safalta

What will be the percentage loss or gain if he reduces the price to Re 55 due to less demand.

A - 11%
B - -11%
C - 10%
D - -10%
Q 5 - A shopkeeper buys rice for Re 1600. He had to sell 1/4th at a loss of 20%. If he is to make an overall gain of 10%, what percentage of profit he needs to make out of the remaining stock of rice?
A - 20%
B - 25%
C - 15%
D - 18%
Q 6 - A 10% hike in the price of wheat forces a person to purchase 2 kg less for Re 110. Find the new and the original price of the wheat.
A - Re 10/kg
B - Re 5/kg
C - Re 6/kg
D - Re 8/kg
Q 7 - 10 kg of rice costs as much as 20 kg of wheat, 25 kg of wheat costs as much as 2kg of tea, 5 kg of tea costs as much as 25kg of sugar. Find the cost of 6 kg of sugar if 14 kg of rice costs Re 32.
A - Re 50
B - Re 55
C - Re 60
D - Re 65
Q 8 - A fruit seller sells bananas at a profit of 20%. If he increases the selling price of each banana by 25 paisa, he earns a profit of 45%. Find the initial selling price of each banana and also its cost price.
A - SP = Re1.20, CP = Re 1
B - SP = Re1.50, CP = Re 1
C - SP = Re1.20, CP = Re 1.10
D - None of the above.
Q 9 - A man sold two plots for Re 8 lakhs each. One on he earns a profit of 16% and the other he loses 16%. How much does he loss or gain in the whole transaction?
A - 2.5% loss
B - 3% gain
C - 2.56% loss
D - 3.56% loss
Q 10 - An uneducated retailer marks all his goods at 50% above the cost price and thinking that he will still make 25% profit, offers a discount of 25% on the marked price. What is his actual profit on the sales?
A - 10%
B - 12.50%
C - 11.50%
D - 12%

Solution:
1.
Explanation
CP = 4600 * (100/115)
=Re 4000

Loss% = [(4000-3600)/4000]*100%
= 10%

2.

Explanation
Assume CP = x
Selling price at the first case = (95/100)x
Selling price at the second case = (60/100)*(120/100)x
= (7200/10000)x

As per question,
(95/100)x - (7200/10000)x = 150
Or, x = Re 500

3.

Explanation
CP = 540*(100/90)
= Re 600

New SP = 600*(95/100)
= Re 570

4.
Explanation
CP = 60*(100/120)
= Re 50
New SP = Re 55
Gain% = (5/50)*100
=10%

5.

Explanation
CP of 1/4th of the stock = 1600/4 = Re 400
SP of 1/4th of the stock = 400*(80/100)
=Re 320

In order to make a profit of 10% on total CP, the SP should be:
SP = 1600*(110/100)
= Re 1760

∴The SP for the remaining 3/4th of the stock
should be Re 1760 - Re 320 = Re 1440.

Cost Price of the 3/4th of stock
= Re 1600 - Re 400 = Re 1200.
∴%Gain = [(1440-1200)/1200*100}]
= (240/1200)*100
= 20%

6.
Explanation
10% of Re 110 = Re 11
Cost of 2 kg of wheat at new price = Re 11
So, cost of 1 kg of wheat at new price = Re 5.50 = Re 11/2

Original Price = (11/2)*(100/110)
= Re 5 per kg

7.

Explanation
4 kg of rice costs Re 32
∴10kg of rice will cost = (32/4)*10 = Re 80

20 kg of wheat costs Re 80.
∴25kg of wheat costs = (80/20)*25 = Re 100

2kg of tea costs Re 100
∴5 kg of tea costs = (100/2)*5 = Re 250

25kg of sugar costs Re 250.
∴6 kg of sugar costs = (250/25)*6 = Re 60

8.

Explanation
Let CP = x paisa.
Initial SP = x*(120/100) paisa

As per question,
120x/100 + 25 = (145/100)x
or, 145x/100 - 120x/100 = 25
or, 25x/100 = 25
or, x = 100 paisa

CP = 100 paisa or Re 1.
Initial SP = 120 paisa or Re 1.20.

9.

Explanation
Applying direct formula, %loss = (16/10)2%
= 64/25%
= 2.56%

10.
Explanation
Let CP = Re 100.
The, marked price, MP = Re 150
SP = 75% of Re 150 = Re 112.50
∴ Gain% = 12.50%

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