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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INSURANCE EXAMS (LIC) 2009 click here to view all questions

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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A merchant has 1000 kg of sugar, part of which he sells at 8% proflt and the rest at 18% profit. He gains 14% on the whole. The quantity (in kg.) sold at 18% profit is :

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INSURANCE EXAMS (UIIC) 2007 click here to view all questions

A merchant has 1000 kg of sugar, part of which he sells at 8% proflt and the rest at 18% profit. He gains 14% on the whole. The quantity (in kg.) sold at 18% profit is :

A560

B600

C400

D640

Nithin ? Aug 9 '2022 at 22:35

Correct answer is: 600
Explanation:

Given:

\(\text{Quantity of sugar = 1000 kg}\)

Calculation:

\(\text{Let cost price of 1kg of sugar be Rs.100.}\)

\(\text{Selling price of 1kg sugar sold at 8% profit = 100} \times \frac{108}{100}\text{= Rs.108}\)

\(\text{Selling price of 1kg sugar sold at 18% profit =} 100 \times \frac{118}{100} \text{= Rs.118}\)

\(\text{Average selling price of 1kg sugar =} 100 \times \frac{114}{100} \text{= Rs.114}\)

Using rule of alligation,

\(\text{Ratio of sugar sold at 8% and 18% profit =} (118 - 114) : (114 - 108) = 4 : 6 = 2 : 3\)

\(\therefore \text{Quantity sold at 18% profit}= \frac{3}{5} \times 1000 = \text{ 600 kg}\)

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If the cost price of 24 articles is equal to the selling price of 21 articles, what is the percentage gain or loss?

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INSURANCE EXAMS (UIIC) 2002 click here to view all questions

If the cost price of 24 articles is equal to the selling price of 21 articles, what is the percentage gain or loss?

A$\Large 14\frac{2}{7} \text{ % gain}$

B$\Large 14\frac{2}{7} \text{% loss}$

C12.5% loss

D12.5% gain

Nithin ? Aug 9 '2022 at 21:39

Correct answer is: \(\Large 14\frac{2}{7} \text{ % gain}\)

Explanation:

\(= \Large \frac{ \left(24-21\right) }{21} \times 100 = \frac{100}{7}\text{ %}\)

\(= \Large 14\frac{2}{7}\text{ %}\)

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If a shirt costing Rs.385 is sold at a loss of 5% of the cost price, find the selling price.

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INSURANCE EXAMS (UIIC) 2002 click here to view all questions

If a shirt costing Rs.385 is sold at a loss of 5% of the cost price, find the selling price.

ARs.364

BRs.364.74

CRs.365

DRs.365.75

nithin ? Aug 9 '2022 at 21:32

Correct answer is: Rs.365.75

Explanation:

Required answer

\(= \Large \frac{95}{100} \times 385 \text{ = Rs.365.75}\)

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