Prof. Chatteijee bought a car and got 15% of its original price as a dealer's discount. He then sold it at 20% profit on his purchase price. What percentage profit did he get on the original price?

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INSURANCE EXAMS (GIC) 2011 click here to view all questions

Prof. Chatteijee bought a car and got 15% of its original price as a dealer's discount. He then sold it at 20% profit on his purchase price. What percentage profit did he get on the original price?

A$\text{2%}$

B$\text{12%}$

C$\text{5%}$

D$\text{17%}$

Nithin ? Aug 10 '2022 at 21:43

Correct answer is: \(\text{2%}\)

Explanation:

Gain percent

\(=\Large \left(20 - 15 - \frac{20 \times 15}{100}\right)\text{%}\)

\(\text{= 2%}\)

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The currencies in countries M and N are denoted by m and n respectively. The exchange rate in 1990 was lm. 0.6n the price level in 2006 in M and N are 150 and 400 respectively with 1990 as a base of 100. The exchange rate in 2006 based solely on the purchasing power parity consideration is 1 m :

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INSURANCE EXAMS (GIC) 2011 click here to view all questions

The currencies in countries M and N are denoted by m and n respectively. The exchange rate in 1990 was lm. 0.6n the price level in 2006 in M and N are 150 and 400 respectively with 1990 as a base of 100. The exchange rate in 2006 based solely on the purchasing power parity consideration is 1 m :

A0.225 n

B0.625 n

C1.6 n

D3.6 n

Nithin ? Aug 10 '2022 at 21:18

Correct anser is: 0.225 n

Explanation:

\(\Large \frac{1m}{150}=\frac{0.6n}{400}\)

\(\implies 1m = \Large \frac{0.6}{400} \times 150n = \text{2%}\)

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A person bought 864 articles and sold 800 of them for the price he paid for 864 articles. He sold the remaining articles at the same price per article as the other 800. The percentage gain on the entire transaction is

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INSURANCE EXAMS (New India Assurance) 2011 click here to view all questions

A person bought 864 articles and sold 800 of them for the price he paid for 864 articles. He sold the remaining articles at the same price per article as the other 800. The percentage gain on the entire transaction is

A$\text{7.5%}$

B$\text{8%}$

C$\text{8.5%}$

D$\text{9%}$

nithin ? Aug 10 '2022 at 21:6

Correct answer is: \(\text{8%}\)

Explanation:

Profit per cent

\(=\Large \frac{864 - 800}{800} \times 100\)

\(=\Large \frac{64}{800} \times 100 = \text{8 %}\)

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A vendor sells calculators at the rate of Rs.250 each and earns a commission of 20% on each. He also sells pens at the rate of Rs.50 each and earns a commission of 10% on each. How much amount of commission will he earn in three days if he sells 10 calculators and 5 pens a day?

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INSURANCE EXAMS (UIIC) 2011 click here to view all questions

A vendor sells calculators at the rate of Rs.250 each and earns a commission of 20% on each. He also sells pens at the rate of Rs.50 each and earns a commission of 10% on each. How much amount of commission will he earn in three days if he sells 10 calculators and 5 pens a day?

ARs.1,575

BRs.1,445

CRs.1,550

DRs.1,450

Nithin ? Aug 10 '2022 at 20:35

Correct answer is: Rs.1,575

Explanation:

Commission on 1 calculator

\(=\Large \frac{250 \times 20}{100} = \text{ Rs 50}\)

Commission on 1 pen

\(=\Large \frac{50 \times 10}{100} = \text{Rs 5}\)

Therefore, Required amount of commission

\(=\text{Rs }\Large 3 \left(10 \times 5 + 5 \times 5\right)\)

= Rs.1575

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A watch is sold at a profit of 20%. If both the cost price and the selling price of the watch are decreased by Rs. 100, the profit would be 5% more. Original cost price of the watch is -

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INSURANCE EXAMS (New India Assurance) 2009 click here to view all questions

A watch is sold at a profit of 20%. If both the cost price and the selling price of the watch are decreased by Rs. 100, the profit would be 5% more. Original cost price of the watch is -

ARs. 450

BRs. 500

CRs. 550

DRs. 600

Nithin ? Aug 10 '2022 at 20:26

Correct answer is:  Rs. 500

Explanation:

\(\eqalign{ & {\text{Let C}}{\text{.P}}{\text{. be Rs}}{\text{. }}x \cr & {\text{Profit}} = 20\% \cr & {\text{S}}{\text{.P}}{\text{.}} = 120\% {\text{ of Rs}}{\text{. }}x \cr & \,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\frac{{6x}}{5} \cr & {\text{New C}}{\text{.P}}{\text{.}} = {\text{Rs}}.\left( {x - 100} \right) \cr & {\text{New S}}{\text{.P}}{\text{.}} = {\text{Rs}}.\left( {\frac{{6x}}{5} - 100} \right) \cr} \)

\(\eqalign{ & {\text{Profit = }} \cr & {\text{Rs}}.\left[ {\left( {\frac{{6x}}{5} - 100} \right) - \left( {x - 100} \right)} \right] \cr & = {\text{Rs}}.\frac{x}{5} \cr & \therefore \frac{x}{5} \times \frac{1}{{\left( {x - 100} \right)}} \times 100 = 25 \cr & \Rightarrow 20x = 25\left( {x - 100} \right) \cr & \Rightarrow 5x = 2500 \cr & \Rightarrow x = 500 \cr} \)

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The income of a broker remains unchanged though the rate of commission is increased from 4 per cent to 5 per cent. The percentage of slump in business is:

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The income of a broker remains unchanged though the rate of commission is increased from 4 per cent to 5 per cent. The percentage of slump in business is:

A10 percent

B15 percent

C20 percent

D30 percent

Nithin ? Aug 10 '2022 at 20:14

Correct answer is: 20 per cent

Explanation:

Let the business value changes from Rs.x to Rs.y.

Therefore, 4% of x = 5% of y

\(\implies \Large \frac{4x}{100} = \frac{5y}{100}\)

\(\implies y = \Large \frac{4}{5}x\)

Change in business

\(= \Large \left(x - \frac{4}{5}x\right)=\frac{x}{5}\)

Therefore, Percentage slump in business

\(= \Large \frac{x}{5} \times \frac{1}{x} \times 100 = \text{20 %}\)

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A shopkeeper sold a TV set for ₹ 17940, with a discount of 8% and gained 19.6%. If no discount is allowed, then what will be his gain per cent ?

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INSURANCE EXAMS (LIC) 2008 click here to view all questions

A shopkeeper sold a TV set for ₹ 17940, with a discount of 8% and gained 19.6%. If no discount is allowed, then what will be his gain per cent ?

A$\text{25%}$

B$\text{26.4 %}$

C$\text{24.8%}$

D$\text{30%}$

Nithin ? Aug 10 '2022 at 20:3

Correct answer is: \(\text{30%}\)

Explanation:

SP = 17940, Discount = 8%

\( MP = \frac{17940}{0.92}= ₹ 19500\)

\(\text{∴ Gain = 19.6% (given)}\)

\(∴ CP = \frac{17940}{1.196}= ₹ 15000\)

\(\text{New SP without discount = ₹ 19500}\)

\(Gain = (19500 – 15000) = ₹ 4500\)

\( \therefore \text{ Gain percent =} \frac{4500}{15000} \times 100 = \text{30%}\)

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