Question

Answers please to these questions

Answer 1

(1) The price of a scooter was Rs. 34,000. It has increased by 20% this year. What is the price now ?

(a) Rs. 40800 ✓

(b) Rs. 32,300

(c) Rs. 40000

(d) None of these

Given :

• Cost of Scooter last year = Rs. 34000
• Increased Percent = 20 %

To find :

• The Price is Scooter now

Solution :

$\sf = \dfrac{original \: cost}{100} \times \: increased \: percent$

$= \dfrac{34000}{100} \times 20$

$\sf \: = \dfrac{6800 \cancel0 \cancel0}{1 \cancel0 \cancel0}$

$\sf = rs.6800$

Price of Scooter now = Original Price + Increased Price

= Rs. 34000 + 6800

= Rs. 40800

Hence, option (a) is the right answer.

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(2) The price of a scooter was Rs. 34,000 last year. It has decreased by 5% this year. What is the price now?

(a) Rs. 40800

(b) Rs. 32,300 ✓

(c) Rs. 40000

(d) None of these

Given :

• Cost of Scooter last year = Rs. 34000
• Decreased Percent = 5 %

To find :

• The Price is Scooter now

Solution :

$\sf = \dfrac{original \: cost}{100} \times \: decreased \: percent$

$\sf = \dfrac{34000}{100} \times 5$

$\sf \: = \dfrac{1700 \cancel0 \cancel0}{1 \cancel0 \cancel0}$

$\sf \: = 1700$

Price of Scooter now = Original Price + Decreased Price

= Rs. 34000 - 1700

= Rs. 32300

Hence, option (b) is the right option.

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(3) Mohit brought a CD for Rs. 750 and sold it for Rs. 875. Find the gain or loss Percent.

(a) 5 %

(b) 16 % ✓

(c) 6 %

$\sf (d) 16 \dfrac{2}{3} \%$

Given :

Cost price = Rs. 750

Selling Price = Rs. 875

To find :

Gain/Loss Percent

Solution :

Since, S.P > C.P [It is a Gain].

Profit = S.P - C.P

= Rs. 875 - 750

= Rs. 125

$\sf Gain \: Percentage = \dfrac{gain}{c.p} \times 100$

$\sf \: = \dfrac{125}{750} \times 100$

$\sf \: = \dfrac{1250 \cancel0}{75 \cancel0}$

$= 16\%$

Hence, (c) is the right option.

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(4) Rahul purchased a table for Rs.1260 and due to some scratches on its top he had to sell at Rs. 1197. Find the Gain or Loss Percent.

(a) 5 % ✓

(b) 4 %

(c) 6 %

$\sf (d) 16 \dfrac{2}{3} \%$

Given :

• Cost price = Rs. 1260
• Selling Price = Rs. 1197

To find :

• Gain/Loss Percent

Solution :

Since, C.P > S.P [It is a Loss ].

Loss = S.P - C.P

= Rs. 1260 - 1197

= Rs. 63

$\sf loss \: Percentage = \dfrac{loss}{c.p} \times 100$

$\sf \: = \dfrac{63}{1260} \times 100$

$\sf \: = \dfrac{6300}{1260}$

$\sf = 5\%$

Hence, option (a) is the right option.

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(5) Raghu bought almirah for Rs. 6250 and spent Rs. 375 on its repair. Then he sold it for Rs. 6890. Find the Gain or Loss Percent.

(a) 5 % ✓

(b) 4 %

(c) 6 %

$\sf (d) 16 \dfrac{2}{3} \%$

Given :

Cost price = Rs. 6250

Selling Price = Rs. 6890

Spent for Repair = Rs. 375

To find :

Gain/Loss Percent

Solution :

Total Price = Cost price + Repair

= Rs. 6250 + 375

= Rs. 6525

Since, S.P > C.P [It is a Gain].

Gain = S.P - C.P

= Rs. 6890 - 6525

= Rs. 365

$\sf gain \: Percentage = \dfrac{gain}{c.p} \times 100$

$\sf = \dfrac{365}{6890} \times 100$

$\sf = 5\%$

Hence, (a) is the right option.

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(6) A vendor bought Oranges at Rs. 20 for Rs. 56 and sold them at Rs. 35 per dozen. Find his gain or loss percentage.

(a) 5 %

$\sf (b) 4 \dfrac{1}{6} \%$

(c) 6 %

$\sf (d) 16 \dfrac{2}{3} \%$

Solution :

CP = Rs. 56

SP = 35/12 × 20

1 dozen = 12

$\dfrac{35}{3} \times 5$

$\sf = \dfrac{175}{3}$

Profit = Sp - cp

=> 58.3 - 56

=> Rs. 2.33

$\sf \: Profit \% = \dfrac{profit}{100} × cp$

$\sf \: Profit \% = \dfrac{2.33}{100} × 56$

= 4.16%

$\sf \: 4. 16 \: can \: be \: also \: written \: as \: 4\dfrac{1}{6}$

(7) The cost of a Flower vase is Rs. 120. If the shopkeeper sells it at a loss of 10 %. Find the price at which it is sold.

(a) Rs. 108

(b) Rs. 450

(c) Rs. 160

(d) none of these

Given :

• Cost price = Rs. 120
• Loss = 10%

To find :

• Selling Price

Solution :

Loss is 10% of the Cost price.

= 10 % of Rs. 120

$\sf \: = \dfrac{loss}{100} \times c.p$

$\sf \: = \dfrac{10}{100} \times 120$

$\sf = \dfrac{1200}{100}$

$\sf = 120$Therefore,

SP = C.P - Loss

= Rs. 120 - 12

= Rs. 108

Hence, (a) option is right.

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(8) Selling price of a toy car is Rs. 450. If the profit made by shopkeeper is 20%. What is the cost price of this Toy?

Given :

• Selling price = Rs. 450
• Profit = 20

To find :

• Cost Price

Solution :

20% profit will mean if CP is Rs. 100, profit is

Rs. 20.

Therefore, SP = 100 + 20 = 120

Now, when SP is Rs. 120 then C.P is Rs. 100

There, when SP is Rs. 450,

$\sf \: CP = \dfrac{100}{120} \times 450$

$= \dfrac{45000}{120}$

$\sf = Rs. 375$

Hence, Rs. 375 is the right answer.