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AFCAT Model Paper 2

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Question : 92 of 100

Marks: +1, -0

A trader sold a cycle at a loss of 10%. If the selling price had been increased by Rs. 200, there would have been a gain of 6%. The cost price of the cycle is

1200
1205
1250
1275

Solution:

Given:

Loss on selling = 10%

Gain = 6% when selling price increased by Rs. 200

Formula Used:

S.P = C.P (1 ± gain%/100)

Calculation:

Let the C. P. of cycle be Rs. x

Case I.

S. P. of cycle

=\left[\frac{90x}{100}\right]=\frac{9x}{10}

Case II.

106\%

of

x=\frac{9x}{10}+200

⇒

\frac{106x}{100}-\frac{9x}{10}=200

⇒

\frac{16x}{100}=200

⇒

X=\frac{200 \times 100}{16}

⇒ x = 1250

∴ The cost price of the cycle is Rs. 1250.

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