Question : How many kilograms of rice costing INR 52 per kg must be mixed with 35 kg of rice costing INR 45 per kg to get a gain of 10% by selling the resulting mixture of rice at the rate of INR 55 per kg?
Option 1: 87.5 kg
Option 2: 90.0 kg
Option 3: 85.0 kg
Option 4: 82.5 kg
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 87.5 kg
Solution : Gain% = 10% The selling price of the mixture = INR 55 Amount of rice costing INR 45 per kg = 35 kg Let the quantity of rice costing Rs. 42 per kg be $x$ kg The cost price of the mixture = Rs. $\frac{55}{110}$ × 100 = Rs. 50 per kg Equating cost price of mixture weighing (x + 35) kg, 50 × ($x$ + 35) = 52 × $x$ + 35 × 45 ⇒ 35 × 5 = 2$x$ ⇒ $x$ = 87.5 kg Hence, the correct answer is 87.5 kg.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : How much chicory, costing INR 100/kg, should be added to 40 kg of coffee costing INR 45/kg so that the mixture will be worth INR 60/kg?
Question : If two qualities of a fruit costing INR 20 per kg and INR 38 per kg are mixed in the ratio of 5 : 4, then find the cost of the mixture per kg (in INR).
Question : Rice worth INR 504 per kg and INR 540 per kg are mixed with the third variety in the ratio 1 : 1 : 2. If the mixture is worth INR 612 per kg, find the price (per kg in INR) of the third variety.
Question : In what ratio, wheat at INR 23 per kg should be mixed with wheat at INR 14 per kg so that on selling the mixture at INR 20 per kg there is a profit of 25%?
Question : In what ratio does a grocer mix tea at INR 26 per kg and INR 32 per kg so that by selling the mixture at INR 30 per kg he may gain 10%?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile