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In what ratio should a seller mix oil of Rs. 95 per litre with oil at Rs. 89 per litre, so that the mixture would worth Rs. 92.50 per litre?1). 3 : 22). 7 : 53). 4 : 74). 3 : 1 |
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Answer» First of all, we use GIVEN quantities and PLACE them in the formula, to know the required quantities. COST of 1 litre oil of first TYPE = Cost price of dearer = d = Rs. 95 Cost of 1 litre oil of second type = Cost price of cheaper = c = Rs. 89 Desired cost of 1 litre of the mixture = Mean price = m = Rs. 92.50 $(Required\;rate = \frac{{Quantity\;of\;Cheaper}}{{Quantity\;of\;Dearer}} = \frac{{d - m}}{{m - c}})$ $(\Rightarrow \frac{{Quantity\;of\;Cheaper}}{{Quantity\;of\;Dearer}} = \frac{{95 - 92.50}}{{92.50 - 89}} = \frac{{2.50}}{{3.50}} = \frac{5}{7})$ ∴ The ratio of the mixture should be 7 : 5 |
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