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1.

The cost price of 12 pens is equal to selling price of 10 pens. Find the profit percentage.

Answer»

Let the C.P of one pen be Rs. 1 

∴ C.P of 12 pens = Rs. 12 

Given S.P. of 10 pens = C.P. of 12 pens. S.P. of 10 pens = Rs. 12 C.P of 10 pens = Rs. 10  

∴ S.P > C.P So there is gain 

Gain = S.P – C.P= 12 – 10 = 2 

Gain percent = \(\frac{Gain}{C.P}\) × 100 

= \(\frac{2}{10}\)× 100 = 20 % 

Gain percent = 20%

2.

In a school 30% students play chess 60% play carrom and the rest play other games. If the total number of students in the school is 900 find the exact number of students who play each game.

Answer»

30% Students play chess. 

Total number of students is 900. 

The number of players who play chess = 30% of 900. 

= \(\frac{300}{100}\) × 900 = 270 

The number of players who play carrom board = 60% of 900 

= \(\frac{60}{100}\)× 900 = 540 

The number of players who play other games 

= 10% of 900 = \(\frac{10}{100}\) × 900 = 90

3.

In a school function Rs. 360 remained after spending 82% of the money. How much money was there in the beginning? verify your answer.

Answer»

Let the money in the beginning be Rs. 100 The money spent is Rs. 82. 

∴ The amount remaining is 100 – 82=Rs. 18. 

If the remaining money is Rs. 18 the money in beginning is Rs. 100. 

If the remaining money is Rs. 360 the money in the beginning is 

= \(\frac{100}{18}\) × 360 = 2000 

Verification : 

\(\frac{82}{100}\)× 2000 = 1640 

Money remained = 2000 – 1640 = Rs. 360.

4.

A dress is sold at Rs. 550 after allowing a discount of 12%. Find its marked price.

Answer»

S.P. = Rs. 550 

Rate of discount = 12% 

Let the marked price be Rs. 100. 

Then S.P= 100 – 12 = 88 

If S.P. is Rs. 88 then marked price is Rs.100 

If the S.P. is Rs. 550 the M.P. is 

\(\frac{100\times550}{88} = \frac{55000}{88}\) = 625 

Marked price = Rs. 625.

5.

Akshay’s income is 20% less than that of Ajay what percent is Ajay’s income more than that of Akshay?

Answer»

Let Ajay’s income be Rs. 100. 

Then Akshay’s income is (100 — 20) = Rs. 80. 

If Akshay’s income is Rs. 80. 

Ajay’s income is Rs. 100. 

If Akshay’s income is Rs. 1 Ajay’s income is 

\(\frac{100}{80}\)× 1 = Rs.\(\frac{100}{80}\) 

Changing the scale to 100. 

Ajay’s income is Rs. 100 

Akshay’s income is = \(\frac{100}{80}\) × 100 = 125 

∴ Ajay’s income is 125 – 100 = 25% more than that of Akshay.

6.

An article marked Rs. 800 is sold for Rs. 704. Find the discount and discount percent.

Answer»

MP = Rs. 800.

S.P= Rs. 704

Discount = MP – S.P = 800 – 704 = Rs. 96 

Discount percentage = \(\frac{Discount}{M.P}\)× 100 

= \(\frac{90}{800}\) × 100 = 12 %

7.

A daily wage employee spends 84% of his weekly earning. If he saves Rs. 384 find his weekly earning.

Answer»

Let his weekly earning be Rs. 100. 

His expenditure is Rs. 84. 

Therefore his savings is (100 – 84) = Rs. 16 

If the savings is Rs. 16 then the income is Rs. 100. 

If the savings is Rs. 384 then the income is 

= \(\frac{100}{16}\) × 384 = Rs.2400 

∴ His weekly earning is Rs. 2400.

8.

Sonu bought a bicycle for Rs. 3750 and spent Rs. 250 on its repairs. He sold it for Rs. 4400. Find his loss or profit percentage.

Answer»

C.P = 3750 + 250 = Rs. 4000 S P = Rs. 4400 

S.P > C.P 

∴ S.P – C.P = 4400 – 4000 = Rs. 400 

Profit percent = \(\frac{profit}{C.P}\)× 100 

= \(\frac{400}{4000}\) × 100 = 10 

Profit percent = 10%

9.

A share agent sells 2000 shares at Rs. 45 each and gets the commission at the rate of 1.5%. Find the amount the agent gets.

Answer»

The S.R of 1 share = Rs. 45 

The S.P. of 2000 shares = 2000 × 45 = Rs. 90,000 

The rate of commission = 1.5% 

∴ The commission = \(\frac{1.5\times 9000}{100}\) = Rs. 1350.0 

The agent gets Rs. 1350.

10.

A factory announces a bonus of 10% its employees. If an employee gets Rs. 10,780 find his actual salary.

Answer»

Let the salary of the employee be Rs. 100. 

He gets a bonus of Rs. 10. 

He gets 100 + 10 = Rs. 110 including bonus. 

∴ If the employee gets Rs. 10.780 his salary is 

= \(\frac{100}{110}\)× 10780 = 9800 

∴ The salary of the employee is Rs. 9800