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Standard VI

Mathematics

Word Problems

A producer bl...

Question

A producer blends two qualities of rice. One costing Rs. $12.50$ per kg and the other costing Rs. $14$ per kg in the ratio 4: 5. Find his profit percent if he sells the mixture at the rate of Rs. $16$ per kg.

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Solution

The correct option is D $20$ %
Let quantity of both rice are 4x and 5x
$C P = 12.50 \times 4 x + 14 \times 5 x = 120 x$
$S P = 16 \times 9 x = 144 x$
$G a i n = S P - C P = 144 x - 120 x = 24 x$
Gain % = $\frac{g a i n}{C P} \times 100 = \frac{24 x}{120 x} \times 100 = 20 %$

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A producer blends two qualities of rice. One costing Rs. 12.50 per kg and the other costing Rs. 14 per kg in the ratio 4: 5. Find his profit percent if he sells the mixture at the rate of Rs. 16 per kg.

The correct option is D 20%Let quantity of both rice are 4x and 5xCP=12.50×4x+14×5x=120xSP=16×9x=144xGain=SP−CP=144x−120x=24xGain % = gainCP×100=24x120x×100=20%

A producer blends two qualities of rice. One costing Rs. $12.50$ per kg and the other costing Rs. $14$ per kg in the ratio 4: 5. Find his profit percent if he sells the mixture at the rate of Rs. $16$ per kg.

The correct option is D $20$ %
Let quantity of both rice are 4x and 5x
$C P = 12.50 \times 4 x + 14 \times 5 x = 120 x$
$S P = 16 \times 9 x = 144 x$
$G a i n = S P - C P = 144 x - 120 x = 24 x$
Gain % = $\frac{g a i n}{C P} \times 100 = \frac{24 x}{120 x} \times 100 = 20 %$