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Given below are two statements :
Statement I :
In order to get a mixture worth ₹ 16.5/kg , a grocer needs to mix two varieties of pulses
costing ₹ 15 and ₹ 20 per kg respectively in the ratio 7 : 3.
Statement II :
A merchant has 1000 kg rice, part of which he sells at 8 % profit and the rest at 16 % profit. He gains 14 % on the whole. The quantity of rice sold at 16 % profit is 750 kg.
In the light of the above statements, choose the correct answer from the option given below:
Statement I :
Mixing the pulses in ratio 7 : 3, i.e. $$7x$$ kg and $$3x$$ kg
we get the total price of the mixture as $$7x\times15+3x\times20=165x$$
So, the price of 1 kg is $$\dfrac{165x}{10x}=16.5$$
Hence, Statement I is true.
Statement II :
If the quantity of rice sold at 16 % profit is 750 kg, then the quantity of rice sold at 8 % profit is 250 kg.
The overall profit is $$\dfrac{\left(16\times750+8\times250\right)}{1000}=\frac{14000}{1000}=14$$
Hence, Statement II is also true
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