Question

Moin buys two types of fruits:mangoes that cost Rs.6 a piece and coconuts that cost Rs.15 a piece.If he buys 16 pieces of fruits and pays a total of Rs.150,how many pieces of fruits did he buy?
a)9 mangoes,7 coconuts.
b)12 coconuts,4 mangoes.
c)10 coconuts,6 mangoes.
d)10 mangoes,6 coconuts.

Solve with explanation.

Answer 1

SOLUTION :

Moin buys two types of fruits : Mangoes and Coconuts   (given)

The cost of 1 piece of Mango = Rs 6    (given)

The cost of 1 piece of Coconut = Rs 15     (given)

According the question,

Moin buys 16 pieces of fruits

And paid Rs 150 as total money

lets take

a)9 mangoes,7 coconuts.

= 9 × 6 + 7 × 15

= 54 + 105

= Rs 159

∴ Here option (a) did not matched

Now,

b)12 coconuts,4 mangoes.

= 12 × 15 + 4 × 6

= 180 + 24

= Rs 204

∴ Here option (b) did not matched

Now,

c)10 coconuts,6 mangoes.

= 10 × 15 + 6 × 6

= 150 + 36

= Rs 186

∴ Here option (c) did not matched

Now,

d)10 mangoes,6 coconuts.

= 10 × 6 + 6 × 15

= 60 + 90

= Rs 150

∴ Here option (c) is the same amount that Moin payed in whole

Hence,

Option d)10 mangoes,6 coconuts is the correct answer.