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One quality of wheat at Rs. 9.30 per kg is mixed with a higher quality wheat in the ratio 8 ∶ 7. If the mixture so formed costs Rs. 10 per kg, what is the rate per kg of the second quality of wheat?1). Rs. 10.302). Rs. 10.603). Rs. 10.804). Rs. 11 |
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Answer» COST of 1 KG wheat of 1st quality = Cost price of cheaper = c = Rs. 9.30 Cost of 1 kg wheat of 2nd quality = Cost price of dearer = d = Rs. x (suppose) Cost of 1 kg of the mixture = Mean price = m = Rs.10 By formula, $(\begin{array}{L} \FRAC{{Quantity\;of\;Cheaper}}{{Quantity\;of\;Dearer}} = \frac{{d - m}}{{m - c}}\\ \RIGHTARROW \frac{{Quantity\;of\;Cheaper}}{{Quantity\;of\;Dearer}} = \frac{{x - 10}}{{10 - 9.30}} = \\ \frac{8}{7} \Rightarrow \frac{{x - 10}}{{0.70}} = \frac{8}{7} \end{array})$ ⇒ 7x – 70 = 8 × 0.70 ⇒ 7x = 5.6 + 70 ⇒ 7x = 75.6 ⇒ x = Rs. 10.8 ∴ The rate of the second quality of wheat is Rs. 10.80 per kg. |
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