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In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 per kg?1). 3 ∶ 72). 5 ∶ 73). 7 ∶ 34). 7 ∶ 5 |
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Answer» Cost of 1 kg PULSES of 1st quality = Cost price of cheaper = c = Rs. 15 Cost of 1 kg pulses of 2ND quality = Cost price of DEARER = d = Rs. 20 Cost of 1 kg of the mixture = Mean price = m = Rs. 16.50 By formula, $(\begin{array}{l} \frac{{Quantity\;of\;Cheaper}}{{Quantity\;of\;Dearer}} = \frac{{d - m}}{{m - c}}\\ \RIGHTARROW \frac{{20 - 16.50}}{{16.50 - 15}} = \frac{{3.50}}{{1.50}} = \frac{7}{3} \end{array})$ ∴ The ratio of cheaper to dearer or 1st quality ? 2nd quality is 7 ? 3 |
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