Ram, Shyam and Suresh went to a grocery store to buy lemons, oranges and apples. The cost of apples is double the oranges, whose cost is Rs.5/kg more than that of lemons. Ram buys lemons, oranges and apples in the ratio of 2:3:7 and pays Rs. 950 in total. Also, Ram applied a 20% off gift card on his and Shyam’s shopping and paid for Shyam’s groceries too. If the sum of 1 kg of each fruit is Rs. 75, Then how much worth of shopping was done by both Shyam and Suresh if they both bought lemons, oranges and apples in the ratio of 4 : 5 : 9 and bought equal amount of groceries.

Ram, Shyam and Suresh went to a grocery store to buy lemons, oranges and apples. The cost of apples is double the oranges, whose cost is Rs.5/kg more than that of lemons. Ram buys lemons, oranges and apples in the ratio of 2:3:7 and pays Rs. 950 in total. Also, Ram applied a 20% off gift card on his and Shyam’s shopping and paid for Shyam’s groceries too. If the sum of 1 kg of each fruit is Rs. 75, Then how much worth of shopping was done by both Shyam and Suresh if they both bought lemons, oranges and apples in the ratio of 4 : 5 : 9 and bought equal amount of groceries. Correct Answer Can't be determined

Let the cost of oranges be Rs. a/kg

⇒ Cost of apples = Rs. 2a/kg

And, the cost of lemons = Rs. (a – 5)/kg

Let take that Ram buys 2b lemons, 3b oranges and 7b apples

So, Ram’s shopping (in Rs.) = 2b(a-5) + 3b(a) + 7b(2a) = 2ab – 10b + 3ab + 14ab = 19ab – 10b

Since, Rs.950 is after 20% discount,

⇒ Amount before discount = 950/(1 – 20/100)

⇒ Amount before discount = Rs. 1187.5…….(i)

Let take that Shyamand Suresh buys 4c lemons, 5c oranges and 9c apples

⇒ 19ab – 10b + 4c(a - 5) + 5c(a) + 9c(2a) = 1187.5………..(ii)

Now, a + 2a + a – 5 = 75

⇒ a = 20…….(iii)

Putting (iii) in (ii), we get

⇒ 380b – 10b + 60c + 100c + 360c = 1187.5

⇒ 370b + 520c = 1187.5

Here, we have 1 equation and 2 variables.

∴ the correct option is (4)