Question 70

How many kg of salt costing ₹28 per kg must be mixed with 39.6 kg of salt costing ₹16 per kg, so that selling the mixture at ₹29.90, there is a gain of 15%?

Solution

Cost price of mixture = 29.9 $$\times \frac{100}{115}$$ = Rs.26 per kg
By allegation method,

1 unit = 39.6
5 unit = 39.6 $$\times$$ 5 = 198 kg
198 kg of salt costing ₹28 per kg must be mixed with 39.6 kg of salt costing ₹16 per kg

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