Question

Gurdeep lost 20% by selling a bicycle for Rs. 1536. What percent shall he gain by selling it for Rs. 2040?

Gurdeep lost 20% by selling a bicycle for Rs. 1536. What percent shall he gain by selling it for Rs. 2040?

Answer 1

$sp = 1536 \\ loss\% = 20 \: means \: he \: sell \: it \: at \: 80\% \\ cp = \frac{sp \times 100}{loss\%} \\ cp = \frac{1536 \times 100}{80} \\ cp = 1920 \\ new \: sp = 2040 \\ profit = sp - cp \\ p = 2040 - 1920 \\ p = 120 \\ p\% = \frac{p \times 100}{cp} \\ p\% = \frac{120 \times 100}{1920} \\ p\% = 6.25 \\ plse \: mark \: as \: brainliest$

Answer 2

Dear Student,

◆ Answer -

% Gain = 6.25 %

● Explanation -

Suppose x be cost price of the bicycle.

At first,

Loss = (CP-SP)/CP

20/100 = (x-1536)/x

1/5 = (x-1536)/x

x = 5x - 7680

4x = 7680

x = ₹ 1920

Later,

% Gain = (SP-CP)/CP × 100

% Gain = (2040-1920)/1920 × 100

% Gain = 12000/1920

% Gain = 6.25 %

Hence, Gurdeep will gain 6.25 % by selling cycle at ₹ 2040.

Thanks dear. Hope this helps you...