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A man purchased a bullock and a cart for Rs. $1800$ . He sold the bullock at a profit of $20 %$ and cart at a profit of $30 %$ . His total profit was $\frac{155}{6} %$ . Find the cost price of a bullock.

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Rs.

650

Rs.

750

Rs.

900

Rs.

800

answer is B.

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Detailed Solution

Given,
Cost price of bullock and cart

=

Rs.

1800

.
He sold the bullock at a profit of

20 %

and cart at a profit of

30 %

.
His total profit =

\frac{155}{6} %

Let bullock price was Rs.

x

and cart price was Rs.

(1800 - x) .

Total profit

= \frac{155}{6} %

of C.P.

\Rightarrow

Total profit

= \frac{155}{6} %

1800

\Rightarrow

Total profit

= \frac{155}{6 \times 100} \times 1800

\Rightarrow

Total profit=

465

Profit on bullock + Profit on cart = Total profit
20% of

x + 30 % of (1800 - x) = 465

\Rightarrow \frac{20}{100} \times x + \frac{30}{100} \times (1800 - x) = 465

\Rightarrow \frac{20}{100} \times x + 0.3 \times (1800 - x) = 465 \Rightarrow 0.2 x + 540 - 0.3 x = 465

\Rightarrow 0.2 x - 0.3 x = 465 - 540 \Rightarrow 0.1 x = 75 \Rightarrow x = 750

Thus, the cost of the bullock is Rs.

750

.
Therefore, the correct option is 2.

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A man purchased a bullock and a cart for Rs. 1800. He sold the bullock at a profit of 20% and cart at a profit of 30%. His total profit was 1556%. Find the cost price of a bullock.

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A man purchased a bullock and a cart for Rs. $1800$ . He sold the bullock at a profit of $20 %$ and cart at a profit of $30 %$ . His total profit was $\frac{155}{6} %$ . Find the cost price of a bullock.