Q11 of 186 Page 4

The cost of 5 oranges and 3 apples is Rs. 35 and the cost of 2 oranges and 4 apples is Rs. 28. Find the cost of an orange and an apple.

Let the cost of an orange = Rs x

And the cost of an apple = Rs y


According to the question,


5x + 3y = 35


And 2x + 4y = 28


⇒ x + 2y = 14


By cross - multiplication method, we have





On taking I and III ratio, we get



⇒ x = 4


On taking II and III ratio, we get



⇒ y = 5


Hence, the cost of an orange is Rs. 4 and cost of an apple is Rs. 5


More from this chapter

All 186 →
9

The sum of two - digits number and the number obtained by reversing the digits is 66. If the digits of the number differ by 2, find the number. How many such numbers are there?

 10

If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes 1/2 if we add 1 to the denominator. What is the fraction?

 12

A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 20 days, she has to pay Rs. 1000 as hostel charges, whereas a student B, who takes food for 26 days, pays Rs. 1180 as hostel charges. Find the fixed charges and cost of food per day.

 13

A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to its denominator. Find the fraction.