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Q:

A, B and C invest in the ratio of 3 : 4: 5. The percentage of return on their investments are in the ratio of 6 : 5 : 4. Find the total earnings, If B earns Rs. 250 more than A :

A) Rs. 6000	B) Rs. 7250
C) Rs. 5000	D) None of these

Answer & Explanation Answer: B) Rs. 7250

Explanation:

A B C

investment 3x 4x 5x

Rate of return 6y% 5y% 4y%

Return $\frac{18 x y}{100} \frac{20 x y}{100} \frac{20 x y}{100}$

Total = (18+20+20) = $\frac{58 x y}{100}$

B's earnings - A's earnings = $\frac{2 x y}{100}$ = 250

Total earning = $\frac{58 x y}{100}$ = 7250

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Q:

Rahul went to purchase a Nokia mobile handset, the shopkeeper told him to pay 20% tax if he asked the bill. Rahul manages to get the discount of 5% on the actual saleprice of the mobile and he paid the shopkeeper Rs. 3325 without tax. Besides he manages to avoid to pay 20% tax on the already discounted price, what is the amount of discount that he has gotten?

A) 750	B) 375
C) 875	D) 525

Answer & Explanation Answer: C) 875

Explanation:

CP = 100, SP (with tax) =120

New SP = 100 - 5 = 95

Effective discount = 120 - 95 = 25

So, at SP of 95 ----> discount = 25

and at SP of 3325 -----> discount = $\frac{25}{95} \times 3325 = 875$

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Q:

Due to reduction of 25% in price of oranges a customer can purchase 4 oranges more for Rs. 16. what is original price of an orange?

A) Rs 1	B) Rs 1.33
C) Rs 1.5	D) Rs 1.6

Answer & Explanation Answer: B) Rs 1.33

Explanation:

Recall it is based on inverse proportion or product constancy concept.

Reducion in price increase in amount

25% 1/4 1/3 33.33% = 4 oranges

It means original number of oranges = 4 x 3 = 12

original price of oranges = 16/12 = Rs. 1.33

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Q:

A trader sold an article at a loss of 5% but when he increased the selling price by Rs.65 he gained 3.33% on the cost price. If he sells the same article at Rs. 936, what is the profit percentage?

A) 15%	B) 16.66%
C) 20%	D) data insufficient

Answer & Explanation Answer: C) 20%

Explanation:

103.33 CP- 0.95 CP = 65

CP = Rs. 780

profit (%) = (936 - 780)/780 x 100 = 20%

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Q:

ITC sells one product at a profit of 20% another at a loss of 20% at the same selling price. What is the loss incurred by ITC?

A) 1%	B) 2%
C) 4%	D) 0%

Answer & Explanation Answer: C) 4%

Explanation:

loss % = ${(\frac{c o m m o n g a i n o r l o s s}{10})}^{2}$ %

= (20/10)x(20/10)% = 4%

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Q:

The marked price of an article is increased by 25% and the selling price is increased by 16.66%, then the amount of profit doubles. If the original marked price be Rs. 400 which is greater than the corresponding cost price by 33.33% , what is the increased selling price?

A) 240	B) 360
C) 420	D) 600

Answer & Explanation Answer: C) 420

Explanation:

Initially CP profit SP MP

100 x (100+x) 133.33

After Change 100 2x (100+x)

Now, Since (100+x) - 100 = 2x

$\frac{7}{6}$ x= 20%

CP Profit SP MP

100 20 120 133.33

So, 300 60 360 400

Again 300 120 420

So the increased selling price = Rs. 420

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Q:

The ratio of cost price and marked price of an article is 2:3 and ratio of percentage profit and percentage discount is 3:2 . what is the discount percentage?

A) 16.66%	B) 20%
C) 25%	D) 33.33%

Answer & Explanation Answer: A) 16.66%

Explanation:

CP : MP = 2x : 3x

=> Profit = x

( %) profit : (%) discount = 3:2

Let CP = 2000, SP = 300

But $\frac{3 x}{100} \times 200 + \frac{2 x}{100} \times 300 = 100$

=> x = 8.33%

Discount 2x = 16.66%

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Q:

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?

A) 116%	B) 166.66%
C) 60%	D) 100%

Answer & Explanation Answer: B) 166.66%

Explanation:

Let the cost price of 1-liter pure milk be Re.1, then

$\{\begin{cases} 6 l i t e r s (m i l k) \to C . P = R s . 6 \\ 2 l i t e r s (w a t e r) \to C . P = R s . 0 \end{cases} \to C P = R s . 6 o n l y$

8 litre mixture =>

SP => 8 x 2 = Rs. 16

Profit % = $\frac{16 - 6}{6} x 100 = \frac{1000}{6} = 166.66 %$

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