Question

The cost of two mangoes and three oranges together is ₹88, and the cost of four mangoes and seven oranges together is ₹188. Then, the cost of four mangoes and three oranges together, in rupees, is:

• A. \(140\)
• B. \(152\)
• C. \(164\)
• D. \(168\)

Hint:

For questions involving costs of two items, form simultaneous linear equations and eliminate one variable to obtain the other.

Answer 1

The Correct Option is A

Step 1: Let the cost of one mango be \(m\) and one orange be \(o\). Then \[ 2m+3o=88 \] \[ \cdots(1) \] and \[ 4m+7o=188 \] \[ \cdots(2) \]

Step 2: Eliminate one variable. Multiply (1) by 2: \[ 4m+6o=176 \] Subtract from (2): \[ o=12 \]

Step 3: Find the value of \(m\). Substitute into (1): \[ 2m+36=88 \] \[ 2m=52 \] \[ m=26 \]

Step 4: Calculate the required amount. \[ 4m+3o \] \[ =4(26)+3(12) \] \[ =104+36 \] \[ =140 \] Hence, \[ \boxed{140} \]