Question

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A selles to B a scooter at a profit of 30%, B sells it to C at a loss of 20% if c paid 1040 then, what is profit
1) 340
2) 300
3) 400
4) 140​

Answer 1

Profit of C is 300

Solution:

Let the Cost price for A be x

Profit % = 30%

Therefore,

Selling price = cost price + 30 % on x

$Selling\ price = x + \frac{30}{100} \times x\\\\Selling\ price = x + 0.3x\\\\Selling\ price = 1.3x$

A sells to B a scooter

Therefore, Cost price of B is 1.3x

B sells bicycle to C at a loss of 20%

Selling price = 1.3x - 20 % on 1.3x

$Selling\ price = 1.3x - \frac{20}{100} \times 1.3x\\\\Selling\ price = 1.3x - 0.26x\\\\Selling\ price = 1.04x$

Given that,

C paid 1040

1.04x = 1040

x = 1000

Cost price of B = 1.3x = 1.3(1000) = 1300

Thus, Profit of C = 1300 - 1000 = 300

Thus profit of C is 300

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Answer 2

Answer:

2) 300

Step-by-step explanation:

C.P ( C ) = S.P ( B ) = 1040

L% = L / C.P × 100

20 = C.P – S.P / C.P × 100

20 / 100 = 1 – 1040 / C.P

1040 / C.P = 1 – 20 / 100 = 80 / 100

C.P = 100 × 1040 / 80

C.P ( B ) = 1300

C.P ( B ) = S.P ( A ) = 1300

P% = 30

C.P ( A ) = S.P × 100 / 100 + P%

= 1300 × 100 / 100 + 30

= 1300 × 100 / 130 = 1000

C.P ( A ) = 1000

S.P ( A ) = 1300

Profit = 300

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